Question

A spring of force constant 1200 N/m is mounted on a horizontal table as shown in Figure. A mass of 3.0 kg, attached to the free end of spring, is pulled sideways to a distance of 2.0 cm and released.

Determine : 

(a) the frequency of oscillations, 

(b) the maximum acceleration of the mass, 

(c) the maximum speed of the mass.

Answer 1

With usual notations, we are given that

m = 3.0 kg, k = 1200 N/m, A = 2.0 cm = 0.02 m

(a) The frequency of oscillation of the mass m is given as

(b) The maximum acceleration of the mass, i.e.,

(c) The maximum speed of the mass, i.e.,