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Question

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. The new amplitude of oscillations will be :

$A\sqrt {{M \over {M - m}}} $
$A\sqrt {{{M - m} \over M}} $
$A\sqrt {{{M + m} \over M}} $
$A\sqrt {{M \over {M + m}}} $

Solution

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