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Assertion: When a particle is at an extreme position performing SHM, its momentum is equal to zero.

Reason: At the extreme position, the velocity of a particle performing SHM is equal to zero.

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Important Questions on Simple Harmonic Motion

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Assertion: In a compound pendulum, if the suspension point and centre of oscillation are mutually interchanged, then no change in a time period is obtained.

Reason: Length of the equivalent simple pendulum remains same in both the case.

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Assertion: In SHM, the motion is to and fro and periodic.

Reason: Velocity of the particle, v=ωa2-x2 (where x is displacement)

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Two strings A and B have lengths A and B and carry pendulum of masses MA and MB at their lower ends the upper ends being supported by rigid supports. If nA and nB are the frequencies of their oscillations and nA=2nB, then
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A simple pendulum performs simple harmonic motion about x=0  with an amplitude A and time period T. The speed of the pendulum at x=A2 will be
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Which one of the following equations of motion represents simple harmonic motion?
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The displacement of a particle along the x -axis is given by x=asin2ωt . The motion of the particle corresponds to
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Two particles are oscillating along two close parallel straight lines side by side, with the same frequency and amplitudes. They pass each other, moving in opposite directions when their displacement is half of the amplitude. The mean positions of the two particles lie on a straight line perpendicular to the paths of the two particles. The phase difference is
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The oscillation of a body on a smooth horizontal surface is represented by the equation, x=Acosωt, where x=displacement at time tω=frequency of oscillation. Which one of the following graph shows correctly the variation a with t?

Here, a= acceleration at time t,

T= time period.