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Homework Statement
Find the analogous electrical circuit for the following mass spring damper system.
Homework Equations
The Attempt at a Solution
I am rusty with writing equations of motion. I wanted to see if someone could check my work.
Looking at the diagram, there are three equations to write. Also there should be a third displacement variable, call it ##x_3##, between ##k_3## and ##b##. Assume down is positive.
For mass ##m_1##:
$$m_1x'' = -k_1x_1 + k_2(x_2 - x_1) + k_3(x_3 - x_1) + b(x_2' - x_3') + p(t)$$
For mass ##m_2##:
$$m_2x'' = -k_2(x_2 - x_1) - b(x_2' - x_3') - k_3(x_3 - x_1)$$
At the node in between the damper and spring:
$$0 = -k_3(x_3 - x_1) + b(x_2' - x_3')$$
Do these look okay?