If the sphere on the left is moved closer to the central cylinder and placed at a distance r/2 from the axis of rotation, what is the magnitude of the angular acceleration α of the modified system? assume that the rest of the system doesn't change.

Why does the equilibrium position of the spring change when a mass is added to the spring? will the mass oscillate around the new equilibrium position of the spring or the previous position without a mass attached to the spring? if the equilibrium position of the spring changes by 20 cm (assuming no initial mass) when a mass is added to the spring with constant 4.9 kg/s^2, what is the mass of the object attached to the spring?