Find the time period of mass M when displaced from its equilibrium positon and then released for the system shown in Fig.

Find the time period of mass M when displaced from its equilibrium positon and then released for the system shown in Fig.

This is a short answer type question as classified in NCERT Exemplar
For calculation purpose, in this situation we will neglect gravity because it is constant throughout will not affect the net restoring force.
Let in the equilibrium position, the spring has extended by an amount xo
Let displacement by
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From conservation of momentum,
Mv = (M + m) v’
f? = 300 Hz
3rd overtone = 7f? = 2100 Hz
Kindly consider the following figure
K = U
½ mω² (A² - x²) = ½ mω²x²
A² - x² = x²
A² = 2x²
x = ± A/√2
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Physics NCERT Exemplar Solutions Class 11th Chapter Fourteen 2025
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