Question

a particle executing shm has potential energy usin square omega t ,the max kinetic energy and total energy respectively are​

Answer 1

hi....

In simple harmonic motion, the total energy of the particle is constant at all instants which are totally kinetic when the particle is passing through the mean position and is totally potential when the particle is passing through the extreme position.

The variation of PE and KE with time is shown in the figure, by the dotted parabolic curve and solid parabolic curve respectively.

Figure indicated that maximum values of total energy KE and PE of SHM are equal.

Now, EK = Ko cos2 ωt

therefore, (EK)max = Ko

So, (EP)max = Ko

and (E)Total = Ko

In simple harmonic motion, the total energy of the particle is constant at all instants which are totally kinetic when the particle is passing through the mean position and is totally potential when the particle is passing through the extreme position.

The variation of PE and KE with time is shown in the figure, by the dotted parabolic curve and solid parabolic curve respectively.

Figure indicated that maximum values of total energy KE and PE of SHM are equal.

Now, EK = Ko cos2 ωt

therefore, (EK)max = Ko

So, (EP)max = Ko

and (E)Total = Ko