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Period from the equation of motion a = -bx

This type of question, asked 2 times: 15 May 2023 S2, 19 May 2026 S1. All 2 questions below, oldest first.

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  1. Question 1

    15 May 2023 S2

    13
    The motion of a particle is described by the equation a=−bxa = -bx where aa is the acceleration, xx is the displacement from the equilibrium position and bb is a constant. The periodic time will be

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  2. Question 2

    19 May 2026 S1

    120
    The differential equation of a particle performing S.H.M. is d2xdt2+64x=0\dfrac{d^2x}{dt^2} + 64x = 0, where xx is in meter. The period of oscillation of the particle is (in second)

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