A spring having with a spring constant 1200 N m–1 is mounted on a horizontal table as shown in Fig. A mass of 3 kg is attached to the free end of the spring. The mass is then pulled sideways to a distance of 2.0 cm and released. | Learn NCERT solution | Education portal Class 11 Physics | Study online Unit-14 Oscillations



Q.9:- A spring having with a spring constant 1200 N m–1 is mounted on a horizontal table as shown in Fig. A mass of 3 kg is attached to the free end of the spring. The mass is then pulled sideways to a distance of 2.0 cm and released.

Determine (i) the frequency of oscillations, (ii) maximum acceleration of the mass, and (iii) the maximum speed of the mass.

Answer:-

Spring constant, k = 1200 N m–1
Mass, m = 3 kg
Displacement, A = 2.0 cm = 0.02 cm

(i) Frequency of oscillation v, is given by the relation:



Hence, the frequency of oscillations is 3.18 cycles per second.

(ii) Maximum acceleration (a) is given by the relation:
a = ω2 A
where,

Hence, the maximum acceleration of the mass is 8.0 m/s2.

(iii) Maximum velocity, vmax = Aω

Hence, the maximum velocity of the mass is 0.4 m/s.