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  4. If the particle repeats its motion after a fixed time interval of 8 s then after how much time its maximum value of PE will be attained after attaining its minimum value?

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Q. If the particle repeats its motion after a fixed time interval of $8\, s$ then after how much time its maximum value of PE will be attained after attaining its minimum value?

Oscillations

Solution:

$T=8\, s$
Maximum value of potential energy is reached two times per oscillation which is $\frac{T}{4}$ time away from mean position which has minimum value at position.