Physics College

Two uniform solid spheres, each with mass 0.852 kg

and radius 8.00×10−2 m are connected by a short, light rod that is along a diameter of each sphere and are at rest on a horizontal tabletop. A spring with force constant 153 N/m has one end attached to the wall and the other end attached to a frictionless ring that passes over the rod at the center of mass of the spheres, which is midway between the centers of the two spheres. The spheres are each pulled the same distance from the wall, stretching the spring, and released. There is sufficient friction between the tabletop and the spheres for the spheres to roll without slipping as they move back and forth on the end of the spring.
Assume that the motion of the center of mass of the spheres is simple harmonic. Calculate its period.

Answers

Answer 1

The period of the simple harmonic motion of the center of mass of the two spheres is approximately 0.770 seconds.

To find the period of the simple harmonic motion of the center of mass of the two spheres, we need to use the equation for the period of a mass-spring system:

T = 2π√(m/k)

where T is the period, m is the total mass of the system (two spheres), and k is the spring constant.

First, we need to find the total mass of the system:

m = 2m1 = 2(0.852 kg) = 1.704 kg

where m1 is the mass of one sphere.

Next, we need to find the spring constant:

k = 153 N/m

Now, we can calculate the period:

2π√(1.704 kg/153 N/m) ≈ 0.770 s

For more such questions on center

https://brainly.com/question/28021242

#SPJ11

Related Questions

What is the average acceleration of an
automobile moving from 0 to 60 m/s in 3.0
seconds?
a. 90 m/s²
b. -20 m/s²
c. -90 m/s²
d. 20 m/s²

Answers

Answer:

D

Explanation:

Using the formula for average acceleration, which is:

average acceleration = (final velocity - initial velocity) / time

Where the initial velocity is 0 m/s and the final velocity is 60 m/s, and the time is 3 seconds, we get:

average acceleration = (60 m/s - 0 m/s) / 3 s = 20 m/s²

Therefore, the answer is (d) 20 m/s².

a cello plays a c# note with a frequency of 346.2hz. if the speed of sound in air is 225m/s, what is the wavelength of this note?

Answers

The wavelength of the note produced by the cello is 0.65 m.

The frequency of the note played by cello, f = 346.2 Hz

Speed of the sound in air, v = 225 m/s

Speed of a wave is calculated by taking the product of its frequency and wavelength.

The expression for the speed of the sound wave is given by,

v = fλ

where λ is the wavelength of the note produced.

Therefore, the wavelength of the note produced by the cello,

λ = v/f

Applying the values of v and f,

λ = 225/346.2

λ = 0.65 m

To learn more about wavelength, click:
https://brainly.com/question/12924624

#SPJ1

a bus with a maximum speed of 20m/s takes 21sec to travel 270m from stop to stop. Its acceleration is twice as great as its deceleration. Find: A, the acceleration B, the distance traveled at maximum speed​

Answers

Answer:

We can use the kinematic equations to solve this problem.

Let a be the acceleration and d be the distance traveled at maximum speed.

First, we can use the equation:

d = vt + (1/2)at^2

where v is the maximum speed, t is the time traveled at maximum speed, and a is the acceleration.

We know that the bus takes 21 seconds to travel 270 meters, so the time traveled at maximum speed is:

21 - 2a = t

We also know that the acceleration is twice as great as the deceleration, so we can write:

a = 2d

Then, we can substitute these expressions into the first equation:

d = (20)(21 - 2a) + (1/2)(2d)(21 - 2a)^2

Simplifying and solving for d, we get:

d = 210 - 5.25a + 0.25a^2

To find the acceleration, we can use the fact that the maximum speed is reached at the midpoint of the trip, so the distance traveled at maximum speed is half the total distance:

d = 1/2(270)

Solving for d, we get:

d = 135

Substituting this value into the equation for d, we get:

135 = 210 - 5.25a + 0.25a^2

Simplifying and solving for a, we get:

a = 8 m/s^2

Finally, we can use the equation:

d = vt

to find the distance traveled at maximum speed:

d = (20)(21 - 2a)

Substituting the value of a, we get:

d ≈ 188.4 m

Therefore, the acceleration of the bus is 8 m/s^2 and the distance traveled at maximum speed is approximately 188.4 meters.

Pressure is applied from a gas cylinder to one side of a U-tube manometer with constant internal diameter “D", as shown below. The manometer is filled with fresh water (density = 999 kg/m3) and upon application of the pressure, the water column on one side rises by 4.00 cm relative to the other. Draw and label a free-body diagram representing the forces in the manometer. Calculate the pressure above atmospheric pressure applied by the gas.

Answers

Answer:

P = 39200.76

Explanation:

formula is:

P = pgh

P = pressure

p = density of fluid

g = acceleration due to gravity ( 9.81 m/s2  for earth)

h = height above the point we are looking for

P = pgh

P = 999x9.81x4

P = 39200.76

Other Questions
data response1 Yey Yo owns a chain of cafs selling cakes, biscuits and coffee. The companywants to change its marketing strategy to increase its market share. Itstraditional cafs are in small towns and its target market is local peoplewho shop in these towns. The company does not advertise or use any salespromotions. The prices are kept low because in these towns consumer incomesare low. YeyYo wants to open modern cafs in city centres but the MarketingDirector thinks it will need to change its marketing strategy to appeal to thehigher income people in the city centres.[2][2]c Outline two reasons why YeyYo might need a new marketing strategy toincrease market share.[4][6]a Define 'marketing strategy.b Identify two questions the Marketing Director will ask before decidingon prices in the new cafs.d Explain two reasons why it is important for YeyYo to have a clearmarketing objective.e Recommend a marketing strategy for the new city centre cafs.Justify your answer.The comits[6]oducts older adults absorb calcium less efficiently than younger adults, so the recommended dietary allowance for calcium for older adults increases to the wi-fi protected setup pin can be easily cracked through a brute force attack. True or False? after studying her patients' compulsions, what is a clinician most likely to conclude about their effects? which image is that of the solomon a. guggenheim museum in new york designed by frank lloyd wright, in which visitors are directed up an elevator and then walk in a gentle spiraling direction downward while viewing artwork? Arthur miller & McCarthism connection The Crucible the moon keeps one side facing the earth because it doesn't rotate on its axis. with respect to fecundity, what is the maximum number of children women are capable of bearing? How do you make a view appear higher for your agents? suppose an exponentially growing culture of bacteria is treated with a potential antimicrobial compound. over the next few hours, cell doubling stops (untreated, control cultures continue doubling), but the cells eventually died. this antimicrobial compound is which of the following is the basis for collision theory? 1. transition state theory 2. field theory 3. molecular orbital theory 4. string theory x-inactivation is an example of: (select all that apply.) The Ibanez family orders a small pizza and a large pizza. The diameter of the large pizza is twice that of the small pizza, and the area of the small pizza is 201 in.2 What is the area of the large pizza, in square inches? what is the repulsive force between two pith balls that are 7.00 cm apart and have equal charges of -20.0 nc? The graph shows the relationship between the cost of some strawberries, y, and the weight of strawberries in pounds, x. Write an equation in slope intercept form to represent this equation. A serious problem with the dichotomous model of organized and disorganized crime scenes is _____.a. that it is used primarily by the FBI and not other law enforcement agenciesb. interagency co-operationc. that it applies only to crime scenes involving violenced. the lack of rigorous reliability and validity testing i need help with these two. please no plagiarism its highly appreciated! ty :)) Research has shown that infants born to adolescent mothers are more likely to have:a) high birth weight.b) Down syndrome.c) childhood illnesses.d) type II diabetes.e) childhood illnesses. A student is creating a graph to represent the equation y=2/3x-5. Which point is not on the line represented by the students graph? A. (9,1) B. (12,7) C. (15,5) D. (21,9) Which of the following is involved in an informal argument for the formula for the circumference of a circle? A:PermiterB: Pi()C: ChordD: Area