A block oscillating in simple harmonic motion is observed at to be at

PHYSICS · Subjective · A Level · Physics · Further mechanics and thermal physics · Further mechanics and thermal physics

Problem

A block oscillating in simple harmonic motion is observed at

t = 0

to be at

x = +0.20\,\text{m}

, moving towards the equilibrium position with speed

0.40\,\text{m}\,\text{s}^{-1}

. The amplitude of the motion is

0.50\,\text{m}

. a) Determine the angular frequency

\omega

of the oscillation. b) Find the earliest time after

t = 0

when the block will be at

x = -0.20\,\text{m}

. c) Calculate the time interval between the first and the second instants at which the magnitude of the displacement equals

0.20\,\text{m}