An experiment includes a wheel with a moment of inertia (I ). A mass (M ) is connected to a belt and runs over a drum of radius (R ). The other end of the belt is attached to a spring of stiffness (K ) that is connected to the ground.

Show that if the mass is pulled down with a force (F ) and then released, that the system will oscillate with simple harmonic motion with a frequency given by…

F = 1/(2 pi) sqrt(k/(M+i/R^2))

I would really like to understand how a problem like this could be solved, I have no idea where to even start to be honest.

Question

An experiment includes a wheel with a moment of inertia (I ). A mass (M ) is connected to a belt and runs over a drum of radius (R ). The other end of the belt is attached to a spring of stiffness (K ) that is connected to the ground.

Show that if the mass is pulled down with a force (F ) and then released, that the system will oscillate with simple harmonic motion with a frequency given by…

F = 1/(2 pi) sqrt(k/(M+i/R^2))
 
I would really like to understand how a problem like this could be solved, I have no idea where to even start to be honest.

anonymous · Answer

Do you have a sketch of the experiment?

anonymous · Answer

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