5.Please see attached pic. Q5. A boy riding a bicycle can be modeled as a spring-mass-damper system with an equivalent weight,stiffness and damping constant of 800N, 50,000N/m, and 1,250N-s/m, respectively. Due to thedifferent setting of the concrete blocks on the road, the level surface decreases suddenly as indicated inFig. 4. Assume that the bicycle is free of vertical vibration before encountering the step change on theroad surface, determine the vertical displacement of the boy caused by the step change in the roadsurface.SeaMeq1=0A5 cmB

Answered: Q5. A boy riding a bicycle can be…

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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A rail road bumper is designed as a spring in parallel with a viscous damper. What is the bumper's damping coefficient such that the system has a damping ratio of 1.25, when the bumper is engaged by a rail car of 20,000 kg mass. The stiffness of the spring is 200 kN/m. If the rail car engages the bumper, while traveling at a speed of 20m/s, what is the maximum deflection of the bumper? poooo m
Mechanical Vibration Problem
A spring-mass-damper system has mass of 80 kg, stiffness of 2500 N/m, and damping coefficient of 250 kg/s Calculate the undamped natural frequency, the damping ratio, and the damped natural frequency Does the solution osciliate?
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umang
after solving, pls explain why u got the answer really need an explanation thank u so much pls explain in sentences. will rate
A mass of one kg stretches a spring 49 cm in equilibrium. It is attached to a dashpot that supplies a damping force of 4 N for each m/sec of speed. Find the steady state component of its displacement if it's subjected to an external force F(t) = 8 sin(2t) — 6 cos(2t) N. Note: The steady state component of the displacement is the solution obtained by setting all derivatives equal to zero. Therefore, in this case it is of the same form as the right-hand side of the ODE, that is, y(t) = A cos(2t) + B sin(2t). Just find A and B. y(t)
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A force of 20 newton stretches a spring 1 meter. A 5 kg mass is attached to the spring, and the system is then immersed in a medium that offers a damping force numerically equal to 10 times the instantaneous velocity. (a) Let x denote the downward displacement of the mass from its equilibrium position. [Note that x>0 when the mass is below the equilibrium position. ] Assume the mass is initially released from rest from a point 3 meters above the equilibrium position. Write the differential equation and the initial conditions for the function x(t)(b) Solve the initial value problem that you wrote above.(c) Find the exact time at which the mass passes through the equilibrium position for the first time heading downward. (Do not approximate.)(d) Find the exact time at which the mass reaches the lowest position. The "lowest position" means the largest value of x
Q2 The angular position c of a mass is controlled by a servo system through a referen signal °r. The moment of inertia of moving parts referred to the load shaft, J, is 150 kebo and damping torque coefficient referred to the load shafi(B, is 4.5 x 103 Nw-m fraden The torque developed by the motor at the load s 7.2 x 10* Nw-m per radian of error (a)Obtain the response of the system to a step input of 1 rad and determine the peak time, peak overshoot and frequency of transient oscillations. Also find the steady state error for à constant angular velocity of 1 revolution / minute. (b)If a steady torque of 1000 Nwm is applied at the load shaft, determine the steady Kan state error. 5(J5+ B) 03 For the system shown, apply a proportional controller to move the time constant to a sixth of its open loop value. R(s) + E(s) U(s) Kp 'Y(s) s +0.333 10
Fast pls solve this question correctly in 5 min pls I will give u like for sure Sini.
A mass of 5 kg is suspended on a spring and set on oscillations. It is observed that theamplitude reduces to 5% of its initial value after 2 oscillations. It takes 0.5 seconds to do thetwo oscillations. Calculate the following.(i) The damping ratio(ii) The natural frequency(iii) The actual frequency(iv) The spring stiffness(v) The critical damping coefficient(vi) The actual damping coefficient

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