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## Homework Statement

Determine the transfer function between output x and input F for the following mass-spring system. (see attached image)

## Homework Equations

F=ma

Inertia, T = J [tex]\alpha[/tex]

Rotational Damper, T=B [tex]\omega[/tex]

Rotational Spring, T=K [tex]\theta[/tex]

## The Attempt at a Solution

I'm having trouble relating the rotational forces to F.

F=m [tex]\ddot{x}[/tex]

k so I guess the latex equations aren't coming out right.

but basically, T = J [tex]\ddot{[tex]\theta[/tex]}[/tex] + B[tex]\dot{[tex]\theta[/tex]}[/tex] + K [tex]\theta[/tex]

The sum of all forces, including inertial forces must equal zero, and I need to convert to the laplace domain to get X(s)/F(s), but how does T fit into that?

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