Mass spring damper system Tutorial Test 1. Derive the differential equation and find the transfer function for the following mass spring damper system.

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Mass spring damper system Tutorial Test 1

Derive the differential equation and find the transfer function for the following mass spring damper system. Tutorial Test 1 Q1 applied force (N) y mass displacement (m) f viscous friction (N.m.rad-1.s-1) k spring constant (N.m-1) where m is a mass (kg), a acceleration (m.s-2) F force (N). y Force,F a k f

Newton’s law Assuming viscosity friction force is proportionate with the changes in displacement dy/dt and spring force is proportionate with the displacement y. Therefore, Taking Laplae transform and assume zero initial condition

If the following parameters are given, calculate the step response m = 1, f=3, k= 2

b. Use block diagram reduction method to find the closed loop transfer function. Tutorial Test 1 Q2,,,,,

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