In the figure shown, pulleys, string and springs are ideal. The natural frequency of oscillation is given as $\frac{1}{π} \sqrt{\frac{k}{n m}} .$ The value of $n$ is

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Important Questions on Oscillations

EASY

JEE Main/Advance

IMPORTANT

Gamma Question Bank for Engineering Physics>Chapter 13 - Oscillations>Assignment>Q 7

A block of mass

5 kg

executes SHM under the restoring force of a spring on a smooth horizontal surface. The amplitude and time period of the motion are

1 m

and

π s

respectively. Maximum force exerted by spring on the block is

x N .

Find the value of

x .

HARD

JEE Main/Advance

IMPORTANT

Gamma Question Bank for Engineering Physics>Chapter 13 - Oscillations>Assignment>Q 11

Consider the shown arrangement. Rod is massless which can rotate freely about hinge $O .$ All the springs are ideal and massless. If frequency of small oscillations of block $m$ (Neglect gravity) is $f = \frac{1}{2 π} \sqrt{\frac{N k}{9 m}}$ , then find value of $N .$