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I have attached an image of a question I am trying to do, I want to find the differential equations that describe the second order system in the image.
I know for a spring, potential energy = 1/2.K.x (where k is the spring constant, and x is the distance the spring is stretched).
I know that damper dissipation is = 1/2.B.(dx/dt) (where B is the damping constant and dx/dt is the rate of change of position with respect to time).
My solution:
I try to build a free body diagram for each mass on its own:
I have showed a snapshot of my attempt for the D.E. describing the motion of m1.
If any of you guys could tell me if I am correct or you have a handy way of doing these types of questions please feel free to respond.
Thank you
I know for a spring, potential energy = 1/2.K.x (where k is the spring constant, and x is the distance the spring is stretched).
I know that damper dissipation is = 1/2.B.(dx/dt) (where B is the damping constant and dx/dt is the rate of change of position with respect to time).
My solution:
I try to build a free body diagram for each mass on its own:
I have showed a snapshot of my attempt for the D.E. describing the motion of m1.
If any of you guys could tell me if I am correct or you have a handy way of doing these types of questions please feel free to respond.
Thank you
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