Physics

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.