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

0.10\,\text{m}

and angular frequency

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

. (a) Determine the displacement from the mean position when the kinetic energy is

75\%

of the total mechanical energy. (b) Calculate the speed of the particle at this displacement.