Question

A particle is oscillating with simple harmonic motion of amplitude 15cm and frequency 4 Hz.

Compute (i) the maximum values of acceleration and velocity, (ii) the acceleration and velocity when

the displacement is 9cm.

Answer 1

(i) $v_\text{max}=0.15·2\pi·4=3.8\text{ m/s}.\\ a_\text{max}=0.15·(2\pi·4)^2=95\text{ m/s}^2.$

(ii) $v=0.09·2\pi·4=2.3\text{ m/s}.\\ a=0.09·(2\pi·4)^2=57\text{ m/s}^2.$