the worker's pull on the handle of the cart can best be described as a force having a a horizontal component , only b a vertical component , only c a horizontal and a vertical component d no directional component

Part h an l - r - c series circuit has inductance 42.0 mh , capacitance c , and resistance r . without the resistor, the angular frequency of oscillation is 624 rad/s . with the resistor, the angular frequency is 208 rad/s .

The value of R = 8.736 Ω

The value of C = 6.19 × 10⁻⁵ F

By a factor of 2, angular frequency (measured in radians per second) is bigger than frequency (measured in cycles per second, commonly known as Hz). Frequency is represented by the symbol rather than f. A sphere that revolves around an axis. Moving faster and satisfying = v / r are points further from the axis.

Given that,

inductance (L) = 42 mH

                        = 42 × 10⁻³ H

angular frequency (ω) = 620 rad/sec

without the resistor, the angular frequency of oscillation is,

ω = [tex]1/\sqrt{LC}[/tex]

or, [tex]1/\sqrt{LC}[/tex] = 620 rad/sec

or, [tex]1/LC[/tex] = (620)²

or, C = 1 / (620)²× (42 × 10⁻³)

or, C = 6.19 × 10⁻⁵ F

With resistor, ω = 208 rad/sec

or, ω = R/L

or, R = ωL

or, R = (42 × 10⁻³) × (208)

or, R = 8.736 Ω

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The complete question is as follows:

An L-R-C series circuit has inductance 42.0 mH, capacitance C, and resistance R. Without the resistor, the angular frequency of oscillation is 624 rad/s. With the resistor, the angular frequency is 208 rad/s.

Find the value of C.

Find the value of R.

The velocity of the second ball after the collision is  2.8m/sec if both first and second  ball collide head-on a table.

We are given that there is no role of friction and collision is perfectly elastic, it means momentum conservation is possible.

Since, all collision is happening along a single axis. So, we assume all collision is happening in x-axis.

Now, we need to conserve momentum along x-axis which states that initial momentum of the system is equal to final momentum of the system.

Now, we know that momentum is given by the product of mass and velocity.

So, initial momentum of the first ball is =0.50×12=6.00kg-m/sec

initial momentum of the second ball is=0.75×(-16.0)= -12.00kg-m/sec

Final momentum of first ball is =0.50 × (-21.6)m/sec = -10.8kg-m/sec

Final momentum of second ball =0.75×vkg-m/sec

Therefore, 6+(-12) = (-10.8) +(0.75v)

=> -6 =-10.8+0.75v

=>0.75v=10.8-6

=>0.75v=4.8

=>v=4.8/0.75

=>v=2.8m/sec

Hence, velocity of second ball is 2.8m/sec.

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If you stare at a red object and immediately look at a white area afterward, you will see an afterimage that is the same size and shape, but it is blue-green, or cyan, in color. '

This is known as the opponent process theory

The opponent process theory of color vision says that color is processed in pairs (red-green, yellow-blue, and black-white.)

It means that Light that stimulates one half of the pair inhibits the other half.

In conclusion, this opponent process is thought to be responsible for our perception of color and explains why people experience afterimages.

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The word "water cycle" refers to the ongoing process that transfers water from the earth to a atmosphere and back.

The hydrologic cycle, another name for the water cycle, describes where and how water is kept on Earth.

Thus, the term "water cycle" refers to the ongoing process that transfers water from the earth to a atmosphere and back.

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Our "cosmic address" from small to large are earth, solar system, milky way galaxy, local group, local supercluster, universe (option A)

The "smallest" is earth, it is the planet where we live and the third of the eight planets in the solar system.

The solar system is a collection of celestial bodies consisting of a star called the sun and all the objects that are bound by its gravitational force. And the milky way galaxy is the galaxy that contains our solar system. It is a barred spiral galaxy 100,000-120,000 light years in diameter containing 100-400 billion stars.

The local group is the group of galaxies that includes the milky way among others. It consists of more than 54 galaxies, including dwarf galaxies.

The local supercluster is one of the largest known cosmic structures in the universe. They are large, threadlike formations, with a typical length of 50 to 80 megaparsecs h-1, which form the boundaries between the great voids in the universe.

The universe is isotropic, the distance to the edge of the observable universe is approximately the same in all directions. That is, the observable universe is a spherical (spherical) volume centered on the observer, regardless of the shape of the universe as a whole.

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Answer:

Our "cosmic address" from small to large are earth, solar system, milky way galaxy, local group, local supercluster, universe (option A)

The decibel level of sound for intense of seven times and one fourth is 2.98 and 0.74 dB level.

ds=65.7 dl

=65.7/22=2.98

ds'=2.98/4=0.74

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Wave a carries more energy than wave b. Wave b has a smaller amplitude than wave a.

Those waves carry an amount of energy that can be measured. The energy in a wave is determined by two variables. One is amplitude, which is the distance from the rest position of a wave to the top or bottom. Large amplitude waves contain more energy. Wave A has greater intensity and transfers more energy. Wave B has greater intensity and transfers more energy. Waves that require matter to transfer energy are mechanical waves. The matter through which a mechanical wave travels is called a medium. A mechanical wave travels as energy is transferred from particle to particle in the medium. There are two kinds of mechanical waves. The greater the amplitude of the wave the greater the wave's energy. ... A wavelength will travel only as long as it has the energy to carry. Gamma rays

Gamma rays have the highest energies, the shortest wavelengths, and the highest frequencies. Radio waves, on the other hand, have the lowest energies, longest wavelengths, and lowest frequencies of any type of EM radiation. Electromagnetic waves cause oscillations in electrical and magnetic fields. It is important to remember that all waves transfer energy but they do not transfer matter. For example, if a ball is placed on the surface of a pond when ripples move across it, the ball will move up and down but not outwards with the wave.

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If the pilot wanted to fly at the same flight mach number 2,200 ft above sea level then the corresponding flight velocity is 296.285 m/sec.

Velocity v is a vector, with units of meters per second. Velocity indicates the rate of change of the object’s position  i.e., velocity tells you how fast the object’s position is changing. The magnitude of the velocity indicates the object’s speed.

The direction of the velocity indicates the object’s direction of motion. The velocity at any point is always tangent to the object’s path at that point.

Thus, the velocity tells you how the object is moving. In particular, the velocity tells you which way and how fast the object is moving.

Given,

V = 484 Knote

V = 250.534 m/sec

Alitude = 43000+1 = Altitude =13.106 km

T= -54.59°C.

a)T= 218 48K.

then

C =[tex]\sqrt{KRT}[/tex]--------(1)

Substituting valves in (1)

C=[tex]\sqrt{K*284*218.43}[/tex]

C = 296.285 m/sec

then

M= V/c 250.534/296.285

M= 0.8455

b)V=140 knote

v = 72.02 m/s.

P = DRT

T = P/DR--------(2)

substituting all values in (2)

T = 101. 395 kpa/1.2 x 0.284

T = 101.395/ 0.3444

T = 294.207K

then,

c=343.82 m/s

m=v/c

m= 72.02/343.822

m= 0.2094

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The minimum thickness of the oil slick at that spot is 313 nm.

The refractive index of the oil is 1.3,

Therefore, the interface between the two rays will give two stage change or zero stage change.

The position for the constructive interface :

[tex]2 n t=m \lambda[/tex]

Where, n = refractive index of oil

          m = order

So, for the minimum thickness (i.e. m = 1)

[tex]t_{\min }=\frac{\lambda}{2 n}[/tex]

[tex]t_{\min }=\frac{750}{2 \times 1.2}[/tex]

[tex]t_{\min }=313 \mathrm{~nm}[/tex]

What is The refractive index?

A primal physical property of a substance, it is usually used to identify a particular substance, confirm its chastity, or scale its concentration is called refractive index.

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Mass of the mars is 6.48 * [tex]10^{23\\[/tex] kg.

Mars, the fourth planet from the Sun, is a dusty, cold desert world with a thin atmosphere.

Phobos is the larger of the two heavily cratered Martian moons and is dominated by three large craters.

Orbit period for Phobos = T = 7 h 39 min = 459 min

Radius of Phobos' orbit = r = 9.4 * [tex]10^{6}[/tex] m

According to the Gravitational force and Centripetal force,

here both forces will be equal,

therefore (GmM/r²) = mrω²

m = mass of the Phobos

M is the mass of Mars

r is the Phobos' orbit radius

ω = (2[tex]\pi[/tex]/T) =  (2[tex]\pi[/tex]/459)

G is the gravitational constant =  6.67 * [tex]10^{-11}[/tex]

(GmM/r²) = mrω²

M = (ω²r³/G)

M = (2[tex]\pi[/tex])² * (9.4 * [tex]10^{6}[/tex])³/ (459 * 60)³ * 6.67 * [tex]10^{-11}[/tex]

M = 6.48 * [tex]10^{23\\[/tex] kg

Mass of the planet mars is 6.48 * [tex]10^{23\\[/tex] kg.

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Answer:

a=5m/s

Explanation:

Forces going to the left:  [tex]F_{3}[/tex]

Forces going to the right: [tex]F_{1}[/tex] and [tex]F_{2}[/tex]

To indicate the different directions, let the forces going to the left be negative, and the sign on forces going to the right be positive.

The total forces acting on the system are:

[tex]F_{1}[/tex] + [tex]F_{2}[/tex] + [tex]F_{3}[/tex]

100N + 80N - 30N = 150N

The overall force is therefore 150N going to the right (sign is positive). Now time to find the overall acceleration:

Force = mass * acceleration

150 = 30a

a=5m/s

The Speed of the car that has beat frequency is 23.1m/s.

A car is moving directly toward a vertical, sheer wall. The driver depresses the horn, which emits sound at a frequency of 580 Hz, and hears a beat frequency of 32 Hz between that beat frequency and the sound reflected off the wall.

The apparent shift in the frequency of the light that the observer perceives as a result of relative motion between the source of the light and the observer is known as the Doppler effect of light.

However, for sound waves, the equations for the Doppler shift vary significantly depending on whether the source, the observer, or the air is moving.

Light doesn't need a medium to travel, and the observer and source's relative speeds are the only factors that affect the Doppler shift for light traveling in a vacuum.

[tex]v=\frac{Vx}{Vx-Vy} f[/tex]

580 x 22/580-32=23.1m/s

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The steps of cycle of density of current :

1)Top layer of the ocean freeze , releasing salt

2) Warm less dense water flows towards the pole

3) Salty cold water sinks to the bottom of the ocean

4) Warmer water rises and mixes with less salty water

5)  At  the equator solar energy warms the water

Current density, which is measured in amperes per square meter, is the quantity of electric current flowing through a unit of cross-sectional area. The current density will increase as the conductor's current increases.

The measurement of the flow of electric charge through the cross-unit section's area in a certain amount of time. A vector quantity is the current density. It has magnitude and direction, thus. A/m2 is the S.I unit for current density, and it is represented by the letter J.

The amount of electric current passing through a material per unit of its cross-sectional area is known as its current density. Ampere/meter2 must be the SI unit for current density.

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The dimension of acceleration is given by, [tex]m^{0} l^{1} t^{-2}[/tex], where m, l, t stand for mass, length and time respectively.

A dimensional equation is created when a physical quantity is expressed as its dimensional formula. The basic numbers [L] for length, [M] for mass, and [T] for time are used to define dimensional formulas in these three dimensions.

The characteristics of a system are quantified using physical quantities. These physical quantities are given significance by the combination of a generally recognised unit and a numerical value. For instance, while describing a beam's length, we may state that it is 6 [numerical quantity] + meters  [unit].

One crucial method for representing these systems in clear languages is through dimensional formulas. A few benefits come from using dimensional formulas to define derived units. It illustrates the representation of various physical quantities in terms of their fundamental units. It serves as a dimensional accuracy check for a derived quantity formula. It lessens errors that happen while translating between different systems' units (say from SI units to British units).

Derivation

We must obtain the formulas for displacement and velocity, two variables on which acceleration depends, in order to determine the dimensional formula for acceleration.

Dimensional Formula for Displacement

Change in position or movement is displacement, thus it is represneted by length.

[d] = [l]

This is also written as:

[d] = [[tex]m^{0} l^{1} t^{0}[/tex]]

This means that displacement has single dimension in length and no dimension in time and mass.

The dimension for displacement is [l].

Dimensional Formula for Velocity

Since velocity [v] is defined as a displacement with respect to time. This is represented as:

v = Displacement/Time

Since displacement [d] is given as [l] we have:

[v] = [l]/[t]

This can be further defined as:

[v] = [tex]lt^{-1}[/tex]

Finally concluded as:

[v] = [[tex]m^{0} l^{1} t^{-1}[/tex]]

The rate at which velocity changes over time is known as acceleration [a]. This is illustrative of:

[a] = Change in velocity/Change in time

Since we previously calculated velocity as [[tex]lt^{-1}[/tex]], acceleration is given as:

[a] =[tex][lt^{-1}]/[t][/tex]

This can be further condensed as follows:

[a]=[ [tex]lt^{-2}[/tex]]

This can also be stated as:

[a] = [[tex]m^{0} l^{1} t^{-2}[/tex]]

The dimensional formula for acceleration is displayed on the right side of the equation above. This dimensional equation states that acceleration has one length dimension, negative 2 of time dimensions, and no mass dimensions.

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2. The magnitude of the normal force exerted by the snow on the skis as the skier glides across the horizontal surface

Fn = 850N

Fg = Fn

3. The magnitude of the force of friction acting on the skis as the skier glides across the snowcovered, horizontal surface

Ff = μ . Fn

= 0.05 (850)

= 42.5 N

In physics, a force is a power that can change the motion of an item. A force can purpose an object with mass to alternate its pace. Pressure also can be described intuitively as a push or a pull.

A pressure is a push or a pull and it affects our each day lives because without force, people might not be capable of open and near stuff or lift up our arms or legs .

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2. The magnitude of the normal force exerted by the shown-covered, horizontal surface is

[tex]F_{g} = F_{N} = 850N[/tex]

3. The magnitude of the force of friction acting on the skis as the skier glides across the snow-covered, horizontal surface is

[tex]F_{f} = 42.5N[/tex]

A force is an external factor that can change the body's state of rest or motion. It has size and direction. The direction in which the force is applied is called the force direction, and the point at which the force is applied is called the force application point.

Frictional force is the force produced by two surfaces touching and sliding against each other. These forces are primarily affected by the surface finish and the amount of force required. The angle and position of the object affect the amount of frictional force.

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The 10 diopter lens to be held closer to a piece of paper when focusing a distant object and diopter is unit of power of accomodation.

Two roughly fitting curved surfaces ground together will eventually become spherical spheres don’t bring parallel rays to a point this is called spherical aberration nearly axial rays (paraxial rays).

Two types of lens Convex and concave. Convex lenses make real images, concave make virtual images,the power of a lens (in diopters) is 1 over its focal length.

Implication of the gaussian formula is that when combining two lenses, add their power, adding a closeup filter allows a smaller object distance, changing object and image distances changes magnification.

lenses perform a 3D perspective transform of object space an object’s apparent size is inversely proportional to its distance linear lens motions move the in-focus plane non-linearly, focusing a lens changes the image size (slightly).

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The right response is B. a magnet with superconductivity. A superconducting magnet is a wire coil that is transporting current.

When describing how so much electricity flows through a wire and the way it flows in an electrical circuits, the term "electric current" is often employed.Amperes are used to measure it (A).The ampere number rises as more electricity flows through the circuit.

Image outcome The letter I is typically used to represent current. According to Ohm's equation, V = IR, the given flow through a conductor is dependent on the voltage V & resistance R. I = V/R is an alternate formulation of Ohm's law.

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Young's experiment is used to find the distance of n'th number dark fringe from the central fringe of screen.

(a)The distance on the screen from the center of the central maximum to the first minimum is 0.88 mm.

(b) The distance on the screen from the center of the central maximum to the point where the intensity has fallen to [tex]$\frac{I_0}{2}$[/tex] is [tex]$0.44 \mathrm{~mm}$[/tex].

What is young's experiment?

Young's experiment is used to find the distance of n'th number dark fringe from the central fringe of screen.

It can be find out with the following formula given as,

[tex]$$y_n=\frac{(2 n-1) D \lambda}{2 d}$$[/tex]

Here, [tex]$\lambda$[/tex] is the wavelength of the light and D is the distance of the screen to the slits.

- (a)The distance on the screen from the center of the central maximum to the first minimum-

Use the above formula for the first minimum as,

[tex]$$\begin{aligned}y_1 & =\frac{(2(1)-1) 0.7 \times 660 \times 10^{-9}}{2 \times 0.26 \times 10^{-3}} \\y_1 & =0.88 \mathrm{~mm}\end{aligned}$$[/tex]

Thus, the distance on the screen from the center of the central maximum to the first minimum is [tex]$0.88 \mathrm{~mm}$[/tex].

(b) The distance on the screen from the center of the central maximum to the point where the intensity has fallen to [tex]$\frac{I_0}{2}$[/tex] -

As the intensity has fallen to the [tex]$I_0 / 2$[/tex], thus the value of path difference will become equal to the [tex]$\pi / 2$[/tex].

The above formula for this path difference can be written as,

[tex]$$\begin{aligned}y & =\frac{(2 \times 1) D}{2 d} \times \frac{\lambda}{2 \pi} \times \frac{\pi}{2} \\y & =\frac{(0.7}{0.260 \times 10^{-3}} \times \frac{660 \times 10^{-9}}{2 \pi} \times \frac{\pi}{2} \\y & =0.44 \mathrm{~nm}\end{aligned}$$[/tex]

Thus, the distance on the screen from the center of the central maximum [tex]$0.44 \mathrm{~mm}$[/tex].

Hence,

- (a)The distance on the screen from the center of the central maximum to the first minimum is [tex]$0.88 \mathrm{~mm}$[/tex].

- (b) The distance on the screen from the center of the central maximum to the point where the intensity has fallen to [tex]$\frac{I_0}{2}$[/tex] is [tex]$\mathbf{0 . 4 4} \mathrm{mm}$[/tex].

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The wheel will take  0.207 seconds to turn through 110°.

Wheel is a circular object that rotates on an axis and is fixed under a vehicle or other object so that it can move easily on the ground.

one complete revolution = 2[tex]\pi[/tex] radian

one revolution = 6.28 rad

1° = [tex]\pi[/tex] / 180 radians

110° = 110 * ([tex]\pi[/tex] / 180) radians

110° = 1.92 radians

The wheel take 0.68 seconds to cover 6.28 radians.

Time taken by the wheel  to turn through 110°  = Time taken to cover 1.92 radians.

Using unitary method,

Since 6.28 radians require 0.68 sec

1.92 radians will require 'x' sec

x = (0.68 * 1.92) / 6.28

x = 0.207 sec

0.207 seconds does it take the wheel to turn through 110°.

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50 kg skater will move 42 m to the ends of the pole starting from ice rink holding pole of length 15 m.

The mass taking into consideration all possible limitations for take-off including restrictions caused by Regulated Take-Off Mass and Regulated Landing Mass.

The load (or Mass) distributed over a defined area. Units of measurement used: SI: N/m2, kg/m2, Non-SI: psi, lb/ft2

The mass of an aircraft plus standard items such as unusable fuel, full operating fluids, fire extinguishers; emergency oxygen equipment.

Given,

Mass of skater one = 75Kg

Mass of skater two = 50Kg

Distance = 15m.

Assuming the system centre if mass does not change, both skaters would meet at the centre of the mass

let the 50kg skater be xm away from the centre, then, the 75kg skater would be (14 - x)m away from the centre too

m1x + m2(14 - x) = 0

m1x + 14m2 - m2x = 0

50x + 14*75 - 75x = 0

50x - 75x + 1050 = 0

-25x + 1050 = 0

25x = 1050

x = 42 m

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C) Solar energy technology is now cheaper than conventional energy.

What is Solar energy ?

Solar energy is the heat and radiant light from the Sun that may be captured and utilized to produce electricity and solar thermal energy, respectively (which is used for applications such as water heating).

Solar energy is a source of energy that hasn't traditionally been used and is still being used today. It is therefore an unconventional source of energy. It is a renewable source of energy because it is limitless and unending.

According to Guggenheim analysts lead by Shahriar Pourreza, utility-scale solar is currently roughly a third less expensive than gas-fired power, while onshore wind is approximately 44% less expensive.

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True, A moving object is constantly speeding up when there is an acceleration in the positive direction.

Our principle states that as an item slows down, the acceleration is going in the opposite direction of the velocity. This object, therefore, has a negative acceleration. The object has a negative velocity and is traveling in the opposite direction as it accelerates.

The rate at which a moving object's speed and direction change over time is known as its acceleration. When anything moves faster or slower, it is said to be moving faster in a straight line. Motion in a circle accelerates even at a constant speed because the direction is continuously changing. The acceleration of all other motions is influenced by both effects.

Due to its magnitude and direction, acceleration is a vector quantity. Speed is another vector quantity. The definition of acceleration is the velocity vector change during a period of time divided by the period of time. The instantaneous acceleration is based on the maximal ratio of the change in velocity (at a specific time and place).

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Gravity is an attractive forces between d)all objects everywhere. So, correct option is d.

In this universe every objects tries to attract other object towards itself. Even moon and earth has gravitational force between each other. Tides in ocean and sea are possible due to gravitational force of moon on earth. Moon revolves around earth due to reason of  gravitational force. Gravitational Force is considered as an attractive force. The gravitational Force is given by the formula

F = (GM₁M₂)/r₂

In this earth massive objects exert gravitational force on smaller objects too, but the difference is that the gravitational force acting between the objects are very small in range, due to which we are not able to feel it.

Hence, correct option is d.

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The ball is 3.16 seconds in the air before it hits the ground.

GETTING A Grip According to Einstein's general theory of relativity, matter or energy causes a distortion of space (or more specifically, spacetime) known as gravity. A large item produces a gravitational field by distorting the geometry of the spacetime it is located in.

Galileo is credited with demonstrating that gravity causes objects of varying masses to fall with the same acceleration by dropping weights from the Leaning Tower of Pisa.

Solution:

Upward

v = v o - g t

0 m/s = 15 m/s - 9.81 m/s² · t

15 m/s = 9.81 m/s² · t

t = 15 m/s : 9.81 m/s²

t 1 = 1.53 s

h = v o · t - g t² / 2  + 2 m

h = 22.95 m - (9.81 m/s² · 2.3409 s²) / 2 + 2 m

h = 11.475 m + 2 m = 13.475 m

Downward:

13.475 m = 9.81 · t² / 2

t = √(13.475 · 2 ) / 9.81

t 2 = 1.66 s

t = t 1 + t 2 = 1.53 s + 1.66 s = 3.19 s

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a)  time, t = 11.407 s, b) distance   x = 175.66 m,  v = c)      speed    v = 30.80 m / s

a) This is kinematics exercise,  write the equation of each vehicle car is;-

 x = x₀ + v₀ t + ½ a t²

Let's fix our the reference system at a point where the car  indicate that the car stops from rest is vo = 0.

 x₀ = v₀ = 0

x = ½ a t²

truck  

x₂= v₀ t

v₀ = 15.4 m / s

At the point where they are,  positions are equal:-

½ a t² = vo t

t = 2 vo / a

calculate us

t = 2 15.4 / 2.

t = 11.407 s

b) the distance to reach it

x = ½ to t²

x = ½ 20 11.407²

x = 175.66 m

c)  the speed of the car is

 v = vo + a t

  vo = 0

    v = at

      v = 2.0 11.407

       v = 30.80 m / s

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Answer:

Please send a picture for context and I will be able to answer the question.

Explanation:

Without the picture I do not understand.

The number of turns in the secondary coil of the transformer is 13.

A transformer is a device that transfers electric energy from one alternating-current circuit to one or more other circuits, either increasing (stepping up) or reducing (stepping down) the voltage.

To calculate the numeber of turns in the primary coil of the transformer, we use the formula below.

Formula:

Where:

From the question,

Given:

Substitute these values into equation 1nad solve for N

Hence, the number of turns is 13.

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The main symmetry types are as follows. When all objects are mirrored about a central axis, reflection symmetry—also known as bilateral symmetry—occurs.

The symmetrical equilibrium found in nature is well represented by the human face. You would have two sides of your face with the exact identical pattern if you drew a line down the middle of it.

Asymmetrical balance is when a design appears balanced while having contrasting visual representations on either side. A design must have differential visual weight on either side in order to be deemed asymmetrical, yet those unequal visuals must balance one another.

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a. The rotational inertia of the rod is 0.0004 kgm²

b. The rotational inertia of a weight is 0.0009025 kgm²

c. The total rotational inertia is 0.002205 kgm²

Rotational inertia is a property of an object which shows its aboility to rotate about an axis.

The rotational inertia of  a rod is given by I = 1/12ML² where

Given that

So, substituting the values of the variables into the equation, we have that

I = 1/12ML²

= 1/12 × 0.030 g × (0.40 cm)²

=  1/12 × 0.030 kg × 0.1600 m²

=  1/12 × 0.0048 kgm²

= 0.0004 kgm²

So, the rotational inertia of the rod is 0.0004 kgm²

The rotational inertia of the weight (as a hoop) is given by I' = 1/2mL' where

Given that

So, substituting the values of the variables into the equation, we have that

I' = 1/2mL'²

= 1/2 × 0.050 g × (0.19 cm)²

= 0.025 kg × 0.0361 m²

= 0.0009025 kgm²

So, the rotational inertia of a weight is 0.0009025 kgm²

The total rotational inertia, I" = rotational inertia of rod + rotational inertia of both weights.

So, I" = I + 2I'

= 0.0004 kgm² + 2 × 0.0009025 kgm²

= 0.0004 kgm² + 0.001805 kgm²

= 0.002205 kgm²

So, the total rotational inertia is 0.002205 kgm²

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