Q3 of 111 Page 252

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,





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