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Homework Statement
Determine the transfer function between output x and input F for the following massspring 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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