A particle executes S.H.M. with amplitude A and time period T . The displacement of the particle when its speed is half of maximum speed is x A 2 . The value of x is

Question

A particle executes S.H.M. with amplitude A and time period T . The displacement of the particle when its speed is half of maximum speed is x A 2 . The value of x is,

MARKS App · Accepted Answer

V = ω A 2 - x 2 V max = A ω A ω 2 = ω A 2 - x 2 A 2 4 = A 2 - x 2 x 2 = 3 A 2 4 x = 3 2 A

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