In the given figure, a mass M is attached to a horizontal spring which is fixed on one side to a rigid support. The spring constant of the spring is k. The mass oscillates on a frictionless surface with time period T and amplitude A. When the mass is in equilibrium position, as shown in the figure, another mass m is gently fixed upon it. New amplitude of oscillation will be:
In the given figure, a mass M is attached to a horizontal spring which is fixed on one side to a rigid support. The spring constant of the spring is k. The mass oscillates on a frictionless surface with time period T and amplitude A. When the mass is in equilibrium position, as shown in the figure, another mass m is gently fixed upon it. New amplitude of oscillation will be:
Option 1 -
Option 2 -
Option 3 -
Option 4 -
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1 Answer
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Correct Option - 2
Detailed Solution:Velocity of block in equilibrium, in first case,
Velocity of block in equilibrium, is second case,
From conservation of momentum,
Mv = (M + m) v’
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Kindly consider the following figure
K = U
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f = (1/2π)√ (k/m), k=YA/L. f= (1/2π)√ (YA/mL)
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