A body of mass m is attached to one end of a massless spring which is suspended vertically from a fixed point. The mass is held in hand so that the spring is neither stretched nor compressed. Suddenly the support of the hand is removed. The lowest position attained by the mass during oscillation is 4 cm below the point, where it was held in hand.
A body of mass m is attached to one end of a massless spring which is suspended vertically from a fixed point. The mass is held in hand so that the spring is neither stretched nor compressed. Suddenly the support of the hand is removed. The lowest position attained by the mass during oscillation is 4 cm below the point, where it was held in hand.

 a) what is the amplitude of oscillation?

b) find the frequency of oscillation?

Answer: 

The mass m will oscillate between the lowest and the highest point, which is where it was held in hand. As a result, the lowest position and the hand position will be extreme positions for mass m oscillations.
(a) The amplitude of oscillation will be half of this distance. As a result, the oscillation’s amplitude is as follows:

A = 4/2 = 2cm

b) Similarly, the frequency of oscillation is v = 3.52 Hz