ME450 Homework 2 Solution (Penn State University)
In the mechanical system shown in Figure 1, both springs are fully relaxed when the lever is horizontal. Furthermore, the equivalent viscous damping associated with the angular velocity of the lever is denoted by B.
m 2kg. , k 18 N / m , B 0.5 N sec m / rad , 1.0 m , and a 0.5 m 11
m2 20kg., k2 108N/m
Find undamped natural frequency, damped natural frequency and damping ratio.
Obtain the step response for the simplified model via Laplace transformation. Plot the response and find the maximum overshoot.
5. Determine and plot the response of the simplified model when the input command is as shown in Figure 2. Comment on the results.
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