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A particle ex...

Question

A particle executes SHM with a frequency f. the frequency with which it KE oscillates is? 1) f/2 2) f. 3) 2f. 4) 4f

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Solution

3) 2f
y=asinwt

=dy/dt =awcoswt

K.E= 1/2 m V²

=ma²w² (coswt)² /2

=ma²w²(1+cos2wt)/4

=ma²w²/4 + ma²w²cos2wt/4

During one complete oscillation, the kinetic energy of the particle executing SHM will be twice. KE will oscillate with frequency double the frequency of SHM, Which is 2f

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