A mass M is attached to a horizontal spring of force constant,k fixed one side to a rigid support as shown in fig. (13). The mass oscillates on a friction less surface with time period T and amplitude A. When the mass is in equilibrium position another mass m is gently placed on it. What will be the new time period ofoscillations ?
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a
2πM+mk
b
2πM−mk
c
2πM+m2k
d
2πM−m2k
answer is A.
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Detailed Solution
When mass m is placed on mass M the new system is equivalent to a mass (M + m) attached to the spring. Hence time period of oscillationT=2πM+mk