A massless spring hangs from the ceiling with a small object attached to its lower end. The object is initially held at rest in a positionyi such that the spring is at its rest length. The object is then released fromyi and oscillates up and down, with its lowest position being 11 cm belowyi.
(a) What is the frequency of the oscillation?
(b) What is the speed of the object when it is 5.8 cm below the initial position?
(c) An object of mass 250 g is attached to the first object, after which the system oscillates with half the original frequency. What is the mass of the first object?
(d) How far belowyi is the new equilibrium (rest) position with both objects attached to the sping?