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A particle executes simple harmonic motion with an amplitude of 10 cm. At what distance from the mean position are the kinetic and potential energies equal?
5√2 cm
Let’s assume at the distance x from its mean position, kinetic energy is equal to potential energy.
Now,
We have two formulae.
Since, they are equal at a distance x.
At this point, Kinetic and potential energy will be equal.
Now,
On putting the value of amplitude we get,