A particle executes SHM of amplitude A . The distance from the mean position when its kinetic energy becomes equal to its potential energy is:

Question

A particle executes SHM of amplitude A . The distance from the mean position when its kinetic energy becomes equal to its potential energy is:, 1 2 A, 2 A, 2 A, 1 2 A

MARKS App · Accepted Answer

The potential energy is given by U = m ω 2 x 2 2 The kinetic energy is given by K = m ω 2 ( A 2 - x 2 ) 2 . Using the condition that K = U , 1 2 m ω 2 A 2 - x 2 = 1 2 m ω 2 x 2 ⇒ x = A 2

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