A particle is vibrating simple harmonically with an amplitude a. The displacement of the particle when its energy is half kinetic and half potential is

Question

A particle is vibrating simple harmonically with an amplitude a. The displacement of the particle when its energy is half kinetic and half potential is, $ \frac{a}{2} $, $ \frac{a}{\sqrt{2}} $, $ \frac{a}{4} $, Zero

MARKS App · Accepted Answer

Kinetic energy = Potential energy ⇒ 1 2 m ω 2 a 2 - y 2 = 1 2 m ω 2 y 2 Or a 2 - y 2 = y 2 Or 2 y 2 = a 2 Or y 2 = a 2 2 Or y = a 2

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