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The radius of circle, the period of revolution, initial position and sense of revolution are indicated in the figure.
-projection of the radius vector of rotating particle is
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Important Questions on Oscillations
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A spring of force constant is cut into lengths of ratio . They are connected in series and the new force constant is . If now they are connected in parallel and force constant is , then is
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A particle executes linear simple harmonic motion with an amplitude of 3 cm. When the particle is at 2 cm from the mean position, the magnitude of its velocity is equal to that of its acceleration. Then its time period in seconds is
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A body of mass, is attached to the lower end of a spring whose upper end is fixed. The spring has negligible mass. When the mass is slightly pulled down and released, it oscillates with a time period of . When the mass is increased by , the time period of oscillations becomes . The value of in is
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A particle is executing SHM along a straight line. Its velocities at distances and from the mean position are and respectively. Its time period is:
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A particle is executing a simple harmonic motion. Its maximum acceleration is and maximum velocity is . Then, its time period of vibration will be:
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The oscillation of a body on a smooth horizontal surface is represented by the equation, , where displacement at time , frequency of oscillation, acceleration at time and time period.
Which one of the following graph shows correctly the variation with ?
