5. The mechanical system shown in the Figure below is initially at rest. The displacement x of the mass is measured from the rest position. At 0, mass m is set into motion by a step force of f() = 2 N. i. Draw the free body diagram of this system, ii. Find the transfer function of this system X(s)/F(s) iii. Obtain the transfer function of the system and the response x() when m 2 kg, b- 80 N-s/m, kl - 80 N/m, k2 - 400 N/m, k3 = 60 N/m (solve symbolically and then substitute with the given values) Find tha natuml feaquan thie

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5. The mechanical system shown in the Figure below is initially at rest. The displacement x
of the mass is measured from the rest position. At 1 = 0, mass m is set into motion by a
step force of f() = 2 N.
i. Draw the free body diagram of this system,
ii. Find the transfer function of this system X(s)/F(s)
iii. Obtain the transfer function of the system and the response x(t) when m
= 2 kg, b = 80 N-s/m, kl = 80 N/m, k2 = 400 N/m, k3 = 60 N/m (solve
symbolically and then substitute with the given values)
iv. Find the natural frequeney of this system and state the type of the
response based on the given parameter values.
v. Find the final value x(0) and the initial velocity š(0) of the mass at the
time of applying the force input f(t) to the system.
k1
k2
ww
ww
k3
wi
Transcribed Image Text:5. The mechanical system shown in the Figure below is initially at rest. The displacement x of the mass is measured from the rest position. At 1 = 0, mass m is set into motion by a step force of f() = 2 N. i. Draw the free body diagram of this system, ii. Find the transfer function of this system X(s)/F(s) iii. Obtain the transfer function of the system and the response x(t) when m = 2 kg, b = 80 N-s/m, kl = 80 N/m, k2 = 400 N/m, k3 = 60 N/m (solve symbolically and then substitute with the given values) iv. Find the natural frequeney of this system and state the type of the response based on the given parameter values. v. Find the final value x(0) and the initial velocity š(0) of the mass at the time of applying the force input f(t) to the system. k1 k2 ww ww k3 wi
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