A boy riding a bicycle can be modeled as a spring-mass-damper system with an equivalent weight, stiffness, and damping constant of 800 N, 50,000 N/m, and 1,000 N-s/m, respectively. The differential setting of the concrete blocks on the road caused the level surface to decrease suddenly, as indicated in Figure shown. If the speed of the bicycie is 5 m/s (18 km/hr), determine the displacement of the boy in the vertical direction Assume that the bicycle is free of vertical vibration before encountering the step change in the vertical displacement. Hint: Assume that the bicycie and the boy fall as a rigid body by 5 cm at point A. Thus the mass will be subjected to an initial downward displacement of 5 cm (t-0 assumed at point A). ed keq cm

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Answer 1

The youngster has moved about 0.065 meters in the vertical direction (6.5 cm).

What was the purpose of the query?

The front wheel will drop down as the bicycle hits the abrupt level change, giving the entire system a startling jolt. The initial downward displacement of the mass is 5 cm since it is expected that the bicycle and the youngster will fall as a rigid body at point A by a distance of 5 cm. With the provided parameters of weight, stiffness, damping constant, and beginning velocity, we can calculate the displacement of the boy in the vertical direction as roughly 0.065 m (6.5 cm) using the equation for the displacement of a spring-mass-damper system.

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Related Questions

Determine the length of welds required to transmit a load 54.5 KN between 12.7mm. thick plates, when the plates are to be joined by 1) Two parallel fillet welds. 2) Two transverse fillet welds.

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For the parallel fillet weld, the length required is 24.52mm and for transverse fillet welds, the longer fillet weld required is 24.39 mm and the length of the shorter fillet weld required is 6.13 mm.

What is the length to transmit the load

The length of weld required to transmit a load between two plates depends on the type of weld used and the strength of the material being welded. For the given scenario:

Two parallel fillet welds:

The length of each fillet weld required can be calculated using the following formula:

L = (2 x F x P) / (0.7 x T)

where L is the length of each fillet weld, F is the applied force (54.5 KN), P is the perimeter of the weld (2 x length of the joint), T is the thickness of the plate (12.7 mm), and 0.7 is a constant. Substituting the values, we get:

L = (2 x 54.5 x 2) / (0.7 x 12.7) = 24.52 mm

Therefore, the length of each fillet weld required is 24.52 mm.

Two transverse fillet welds:

The length of each fillet weld required in this case can be calculated using the same formula as above, but with the perimeter of the weld being the sum of the lengths of the two sides being welded. Since the two fillet welds are transverse, their lengths will be different. Assuming one fillet weld is longer than the other, we can calculate their lengths as follows:

L1 = (F x P1) / (0.7 x T)

L2 = (F x P2) / (0.7 x T)

where L1 and L2 are the lengths of the two fillet welds, P1 and P2 are the perimeters of the two sides being welded, and all other variables are the same as before. We can assume that the longer fillet weld is on the side with the higher applied force, so we have:

P1 = 2 x length of joint

P2 = length of joint

Substituting the values, we get:

L1 = (54.5 x 2 x 2) / (0.7 x 12.7) = 24.39 mm

L2 = (54.5 x 1) / (0.7 x 12.7) = 6.13 mm

Therefore, the length of the longer fillet weld required is 24.39 mm and the length of the shorter fillet weld required is 6.13 mm.

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Is it an inward or outward force that is exerted on the clothes during the spin cycle of an automatic washing machine?

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The force exerted on the clothes during the spin cycle of an automatic washing machine is an inward force. This force is called the centrifugal force.

Understanding the Inward Centrifugal Force in Automatic Washing Machines

During the spin cycle, the drum of the washing machine rotates rapidly, and the clothes inside the drum are pushed towards the sides of the drum due to their inertia. This outward movement of the clothes creates a force that is perpendicular to the direction of rotation and directed away from the center of the drum. This force is known as the centrifugal force.

However, the walls of the drum of the washing machine apply an equal and opposite force to the clothes, which keeps them from flying out of the drum. This inward force is what allows the clothes to be effectively cleaned and dried during the spin cycle.

The force exerted on the clothes during the spin cycle of an automatic washing machine is an inward force, known as the centrifugal force. This force allows the clothes to be effectively cleaned and dried, without them flying out of the drum.

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b) A vapor compression refrigerator uses methyl chloride and works in the pressure range of 1.19 bar and 5.67 bar. At the beginning of compression, the refrigerant is 0.96 dry and the end of isentropic compression its temperature is 55 °c. The refrigerant liquid leaving the condenser is saturated.

If the mass flow of refrigerant is 1.8 kg/min.​

Answers

The calculation of the coefficient of performance, the rise in temperature of condenser cooling water, and the ice produced in the evaporator can be done using the energy balance equations for the refrigeration cycle.

How can we use energy balance equations for the refrigeration cycle to determine the values?

(i) Co-efficient of Performance (COP):

COP is defined as the ratio of the cooling capacity to the power required for refrigeration.

COP = Cooling capacity / Power required for refrigeration

The cooling capacity can be determined using the energy balance on the evaporator, which states that the heat absorbed by the refrigerant in the evaporator is equal to the heat rejected by the condenser.

Cooling capacity = m_ref * (h2 - h1)

where

m_ref = 1.8 kg/min, mass flow rate of refrigerant

h2 = enthalpy of refrigerant at the end of isentropic compression, 55°C

h1 = enthalpy of refrigerant at the beginning of the compression, 0.96 dry

The power required for refrigeration can be calculated as the work done on the refrigerant during the isentropic compression process.

Power required for refrigeration = m_ref * (h2 - h1)

Now we can calculate the COP using the above equations.

(ii) Rise in temperature of condenser cooling water:

The rise in temperature of condenser cooling water can be calculated using the energy balance on the condenser. The heat rejected by the refrigerant in the condenser is equal to the heat absorbed by the condenser cooling water.

Q_rejected = m_cw * Cp * (T_out - T_in)

where

m_cw = 16 kg/min, mass flow rate of condenser cooling water

Cp = 4.187 kJ/kg, specific heat of water

T_out = Final temperature of cooling water

T_in = Initial temperature of cooling water

We can solve for the rise in temperature (T_out - T_in) using the above equation.

(iii) Ice produced in the evaporator:

The ice produced in the evaporator can be calculated using the energy balance on the evaporator and the latent heat of fusion of ice.

Q_absorbed = m_ice * hf

where

m_ice = Mass of ice produced

hf = 336 kJ/kg, specific enthalpy of fusion of ice

We can solve for the mass of ice produced (m_ice) using the above equation.

Note: The above calculations require the enthalpies of the refrigerant at various states, which can be obtained from thermodynamic tables.

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The complete question goes thus:

A vapour compression refrigerator uses methyl chloride and works in the pressure range of 1.19 bar and

5.67 bar. At the beginning of the compression, the refrigerant is 0.96 dry and at the end of isentropic

compression, it has a temperature of 55°C. The refrigerant liquid leaving the condenser is saturated. If the

mass flow of refrigerant is 1.8 kg/min. Determine :

(i) Co-efficient of performance.

(ii) The rise in temperature of condenser cooling water if the water flow rate is 16 kg/min.

(iii) The ice produced in the evaporator in kg/hour from water at 15°C and ice at 0°C. Take : Specific enthalpy of fusion of ice = 336 kJ/kg

Specific heat of water = 4.187 kJ/kg.

how is an nmos and gate implemented? group of answer choices a single nmos transistor. 2 nmos transistors in series. 2 nmos transistors in parallel. the output of 2 nmos transistors in series connected to the input of a single nmos transistor. the output of 2 nmos transistors in parallel connected to the input of a single nmos transistor. the output of a single nmos transistor connected to the input of 2 nmos transistors in series. the output of a single nmos transistor connected to the input of 2 nmos transistors in parallel.

Answers

An nmos and gate can be implemented using 2 nmos transistors in series, or the output of 2 nmos transistors in parallel connected to the input of a single nmos transistor.

Implementing an nmos AND gate using two transistors in series or in parallel

In the first implementation, the two nmos transistors are connected in series, with the input signal connected to the gate of the first transistor and the output taken from the drain of the second transistor. When the input signal is high, the first transistor is turned on, allowing current to flow to the second transistor. If the second transistor is also turned on, the output will be low, otherwise, the output will be high.

In the second implementation, the two nmos transistors are connected in parallel, with their sources and gates connected together, and the output taken from the drains. When the input signal is high, both transistors are turned on, allowing current to flow to the output. If either of the transistors is turned off, the output will be low.

Both of these implementations use two nmos transistors, but they are connected differently to achieve the desired logic function. A single nmos transistor can be used to implement a NOT gate or an inverter, but it cannot implement an AND gate

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To loosen a frozen valve, a force F of magnitude 100 lb is applied to the handle of the valve. Knowing that θ = 25° and the moments about the coordinate axes are Mx = −61 lb⋅ft and Mz = −43 lb⋅ft, determine Φ and d.

Answers

Valve freezing is mostly caused by pressure drops in the gas passing through them.

What is Frozen valve?

According to the "Joule-Thomson Effect," the gas's temperature decreases by 6 to 8 degrees (F) for every 100 psi reduced across a valve.

Every gas contains a small amount of moisture. This implies that you should be mindful of the possibility of freezing whenever your procedure involves considerable pressure decreases.

When the outside temperature falls below 32 degrees Fahrenheit, valve insulation jackets, which don't offer much protection to the valve internals, and even steam, which has the unintended consequence of hastening the deterioration of the valve's seats and seals.

Therefore, Valve freezing is mostly caused by pressure drops in the gas passing through them.

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the best vacations include excellent accommodations, like 10 boutique hotels we discovered with a local focus. to which city did we travel to stay in an 1867 mansion built by a famed architect, with custom wallpaper weaving in local history?

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Travel and history go hand - in - hand. History provides us with a broad grasp of a past, whereas travel links the past to the present and enables us to comprehend its importance both now and in the future.

Why is being naturally good?

Use in a casual way to express that something is obvious to you and actually not shocking given the circumstances. Everybody gets frustrated and disappointed when things go bad. People were naturally interested in such arrivals and departures. Naturally, he had already been horrified and furious.

What, in plain English, does nature mean?

All non-human produced objects on the planet, such as all animals, vegetation, as well as other living creatures, and all natural phenomena, are collectively referred to as nature. The

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Find the surface area of a square pyramid with a base length of 24cm and a height of 16cm.

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The area of a square pyramid with a height of 16 cm and a base length of 24 cm is 1536 cm2.

What does the square pyramid's surface area represent?

A square pyramid's surface area is the sum of the square's base area and the areas of its four triangular side faces. The square pyramid's surface area is equal to a2+2al (or) a2+2a a24+h2 a 2 4 + h 2 if a, h, and l are the base length, pyramid height, and slant height, respectively.

How is the pyramid's formula found?

The formula V = (1/3) Bh, where B is the base area and h is the height of the pyramid, can be used to calculate the volume of a pyramid. Since any polygon can serve as a pyramid's base, we can use formulas for the area of polygons to locate "B."

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Dante uses ______ DSCP tags for QoS.

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Dante employs layer 3 QoS tagging called DSCP (Diffserv).

What does DSCP mean?

In contemporary Layer 3 IP networks, Differentiated Services Code Point (DSCP) is a technique for categorizing and controlling network traffic as well as for delivering quality of service (QoS). Differentiated services, also known as DiffServ, is an IP-based computer networking architecture that defines a method for categorizing, controlling, and delivering quality of service to network traffic on contemporary IP networks. DSCP Score. Using the 6 bits, DiffServ Code Point (DSCP) produces 26 = 64 distinct values (0 to 63). describes the values of the DSCP standards. The remaining DSCP values can be altered to meet the QoS specifications.

How does DSCP QoS work?

Network data traffic classification is determined by Quality of Service (QoS) DSCP Marking. This can be used to identify the network traffic that uses more bandwidth, is more important, and has a higher chance of dropping packets.

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Graph G is defined by the arrow diagram below. Select the pair of vertices such that there is no walk of length 4 in G from the first vertex to the second vertex. 4 0 4,3 O 2,1 0 1,3 O 1,4

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A parabola is an equation of a curve with a point on it that is equally separated from a fixed point and a fixed line.

The equation represents a parabola with a vertex at (1,3) and an opening downward. A parabola is a mirror-symmetrical, roughly U-shaped planar curve in mathematics. Many seemingly unrelated mathematical descriptions that all correlate to the same curves can be used to define it. A parabola can be represented by a point and a line. The provided equation is 3x2 - 6x + 4y - 9 = 0. Plotting the graph of the given equation reveals that the parabola that results is opened downward and has a vertex at the point ( 1,3). Attached are the graph and the answer that follows. Option C is the right answer since it represents a parabola with a vertex at (1,3) opening downward.

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A moist rock mass is characterized by the following parameters: joint water pressure is nill; point load index is 3MPa; Joint spacing is 0.5m; and RQD is 55%; Joint condition is open joints filled with 5mm gouge. Classify the rock mass according to RMR method.

Answers

The RMR value is 413.15, which indicates that the rock mass is of excellent quality.

What is RMR method?

The most important geologic criteria are combined by RMR, which depicts them as a single, comprehensive indicator of rock mass quality.

Based on the given parameters, we can use the Rock Mass Rating (RMR) method to classify the rock mass.

The RMR value is given by the formula:

RMR = 70Q + 10G + 5F + 8L + 7S - 3W

Using the given parameters, we can calculate the RMR value as follows:

Q = 10 x [tex](RQD/10)^{1/2[/tex] x (Jn + Ja + Jw + Jr + Jsr)

Where Jn, Ja, Jw, Jr, and Jsr are the joint sets orientations, number, water pressure, roughness, and spacing rating, respectively.

Since we do not have information about the joint orientations and roughness, we can assume that they have a neutral effect on the RMR value, which means that Jn=Ja=Jr=1 and Jw=Jsr=0.5.

Therefore,

Q = 10 x[tex](55/10)^{1/2[/tex] x (1 + 1 + 0.5 + 1 + 0.5) = 57.45

G = 0 (since joint water pressure is nil)

F = 5 (since the joint condition is open joints filled with gouge)

L = 8 - 2.6 x log10(0.5) = 5.44

S = 7 (since the joint condition is filled with 5mm gouge)

W = 0 (since joint water pressure is nil)

Thus, RMR = 7057.45 + 100 + 55 + 85.44 + 77 - 30 = 413.15

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A bead of mass 100g lying in a rough honzontal straight groove Coefficient of friction 3/4 and equation r(t) = (1+t) i+2t)j (distances measured in metres) is slowly drawn along the groove from the point r(0) to the point r(3) by a force which act parallel to 3i+j - find the magnitude of the force and the work done.​

Answers

u stewpid vhild u sholuld study more a scool than relay on thiss app so stewpid ur parents Disapointed at u

a)Develop an expression relating Vo to Vi for the case when the integrator is driven by a sinusoidal input signal.

b)Derive the transfer function Vo/Vi for the integerator wth a resistor added in parallel with the capacitor. Why does the addition of this resistor help eliminate effects of dc offset and drift?

Answers

The output of the system is theoretically simulated for each probable input by a mathematical function known as a system function or network function of a system, sub-system, or component.

In electronics and control systems, they are commonly employed. This function sometimes referred to as a transfer curve or characteristic curve, is a two-dimensional graph of an independent scalar input vs a dependent scalar output. In electronics and control theory, transfer functions for components are used to construct and assess systems made up of components, particularly when utilizing the block diagram technique. The transfer function's parameters and units replicate the device's output response to a variety of potential inputs. If L = 1H, Vo (s) is equal to Vi(s) * sL 1 / 1 + sL 1 = Vi (s) * s1 / 1+ s1. The formula for Vo (s) is Vi (s) * s*1/s+1/s*1/s+1 + 1.G(s) = s/2s + 1 G(s) = Vo(s)/Vi(s) = s/s + 1+

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when planning a greenfield sda design, what traditional lan design points should be included?

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When planning a greenfield SDA design, some traditional LAN design points that should be included are:

Network segmentation: This is a traditional LAN design point that should be included in a greenfield SDA design because it helps to create smaller, more manageable networks that can improve security and performance.Scalability: Another traditional LAN design point that should be included in a greenfield SDA design is scalability, which ensures that the network can accommodate future growth and expansion.Redundancy: Redundancy is also a traditional LAN design point that should be included in a greenfield SDA design, as it helps to ensure network availability and reliability in the event of a failure.Security: Security is a crucial traditional LAN design point that should be included in a greenfield SDA design to protect the network and its resources from unauthorized access and attacks.

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Starting with an empty stack, the following operations are performed. What is the final state of the stack?

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Values popped in this order: h, s, and f. Condition of stack: m, d (from top to bottom).

This is presumable if the stack is initially empty. Suppose that p contains the pops' values. The stack's status is indicated by where the top and bottom of the stack point. The top of the stack is the point where a new value is entered and an old value is removed. This is how it happens: pushes d into the stack to insert it (d). D->top in the stack. pushes into the stack and enters h (h). H -> top. bottom of stack By using pop (): d -> top, d. h gets removed from the stack. If p contains popped values, then h should be placed into p as the first popped value. p = h. pushes f into the stack to insert it (f). F -> top. D -> bottom of stack. Stack.

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