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Doobydoo913
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Homework Statement
A wheel with moment of inertia I. A mass of M is connected to a belt and runs over the wheel with radius R and connected to a spring with a stiffness of k which is connected to the ground.
Show that if the mass is pulled down with a force of F and released the system will oscillate with SHM with a frequency
f=1/2pi sqrt k/(M+I/R^2)
Homework Equations
FI=ma Inertia force
FS = kx Spring force
TI=Ialpha Inertia torque
a=-w^2x
The Attempt at a Solution
Really confused as to the wheel being added, I don't know how to incorporate the +I/R^2 into the frequency calculation. I also don't know how to get the I/R^2 part either.
Following notes i have
a=-w^2x
F/M =-w^2x (not sure where F/M comes from can someone explain?)
-kx/M=w^2x
k/M=w^2
w= sqrt k/m
w=2 pi f sub for w
2 pi f = sqrt k/M
Im missing out the I/R^2
Need help on this one, Thankyou in advance
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