EASY
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A simple harmonic oscillator has an amplitude of 0.5 m and a time period of 2 seconds. What is the magnitude of acceleration when it is displaced from the mean position by 0.25 m?

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Important Questions on Simple Harmonic Motion

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A body of mass 1 kg is executing simple harmonic motion (SHM). Its displacement y (in cm) at time t given by y=6sin100t+π4cm. Its maximum kinetic energy is
HARD
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The displacement of a particle in simple harmonic motion (SHM) is given by y=3πsin100πt+π4. What will be the displacement of the particle from the mean position when its kinetic energy is eight times that of its potential energy?
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A particle of mass m is attached to four springs with spring constant k,k,2k and 2k as shown in the figure. Four springs are attached to the four corners of a square and a particle is placed at the center. If the particle is pushed slightly towards any side of the square and released, the period of oscillation will be

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MEDIUM
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The amplitude of the wave resulting from the superposition of three waves given by x1=Acosωt, x2=2Asinωt and x3=2Acosωt+π4 is