An object of mass 0 . 5 kg is executing simple harmonic motion. It amplitude is 5 cm and time period (T) is 0 . 2 s . What will be the potential energy of the object at an instant t = T 4 s starting f

Question

An object of mass 0 . 5 kg is executing simple harmonic motion. It amplitude is 5 cm and time period (T) is 0 . 2 s . What will be the potential energy of the object at an instant t = T 4 s starting from mean position. Assume that the initial phase of the oscillation is zero.

TestHub · Accepted Answer

T = 2 π m k 0 . 2 = 2 π 0 . 5 k k = 50 π 2 ≈ 500 x = A sin ( ω t + ϕ ) = 5 cmsin ω T 4 + 0 = 5 cmsin π 2 = 5 cm PE = 1 2 kx 2 = 1 2 ( 500 ) 5 100 2 = 0 . 6255

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