Question

A body moving with simple harmonic motion has an amplitude of 10cm and a frequency of 100HZ, find (a) the period of oscillation (b) the acceleration at the maximum displacement (c) the velocity at the centre of motion.

Answer 1

$s=A\sin(\omega t)=0.1\sin(2\pi\nu t)$

(a) $T=1/\nu=1/100=0.01\ (s)$

(b) $|a|=0.1\cdot(2\pi\nu)^2=0.1\cdot(2\cdot3.14\cdot100)^2=39438.4\ (m/s^2)$

(c) $|v|=0.1\cdot(2\pi\nu)=0.1\cdot(2\cdot3.14\cdot100)=6.28\ (m/s)$