The displacement of a particle executing SHM is given by where is in millimetres and…

PHYSICS · Multi-part · A Level · Physics · Further mechanics and thermal physics · Further mechanics and thermal physics

Problem

The displacement of a particle executing SHM is given by

x = 5 \sin(2\pi t)

where

x

is in millimetres and

t

is in seconds. Calculate: (1) the initial displacement of the particle (2) the period of the oscillations (3) the displacement at

t = 1.2

s (4) the time at which the displacement first becomes

-2.0

mm.