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Earn 100

A simple harmonic oscillator of frequency 1 Hz has a phase of 1 radian. By how much should the origin be shifted in time so as to make the phase of the oscillator vanish. (time in seconds).

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Important Questions on Oscillations

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A particle of mass 0.1 kg is executing simple harmonic motion of amplitude 0.1 m. When the particle passes through the mean position, its kinetic energy is 8×10-3 J. If the initial phase is 45°, the equation of its motion is (Assume, x t as the position of the particle at time t)
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Frequency of oscillation of a body is 5 Hz when a force F1 is applied and 12 Hz when another force F2 is applied. If both forces F1 and F2 are applied together, then frequency of oscillation of the body will be
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The bob of simple pendulum is a spherical hollow ball filled with water. A plugged hole near the bottom of the oscillating bob get suddenly unplugged. During observation, till water is coming out, the time period of oscillation would
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For a particle performing linear SHM, its average speed over one oscillation is (A= amplitude of S.H.M., n= frequency of oscillation)
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Two clocks A and B are synchronized to show the same time on earth. Clock A is based on oscillations of spring and clock B is based on a pendulum motion. If these two clocks are taken to the surface of the moon, then
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A body of mass 0.25 kg is attached to a vertical spring. The spring is executing damped simple harmonic oscillations. At what time will the mechanical energy of the spring drop to half of its initial value? [The damping constant b=0.05 kg s-1]
 
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The resultant of two simple harmonic motions of the same frequency and unequal amplitudes but differing in phase by, π2 is 
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A damped harmonic oscillator has a frequency of 5 oscillations per second. The amplitude drops to half its value for every 10 oscillations. The time it will take to drop to 11000 of the original amplitude is close to: