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))