A particle of mass executes simple harmonic motion with amplitude and angular frequency .

PHYSICS · Multi-part · CBSE · Physics · Oscillations · Oscillations

Problem

A particle of mass

0.50\,\text{kg}

executes simple harmonic motion with amplitude

0.20\,\text{m}

and angular frequency

4\,\text{rad s}^{-1}

. (a) Calculate the total mechanical energy of the oscillation. (b) Find the kinetic energy and potential energy at (i)

x = 0

and (ii)

x = \pm A

. (c) Sketch qualitative graphs of

K

and

U

versus

x

on the same axes and draw the constant total energy line, labelling the values obtained above.