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Questions  

Frequency of a particle executing SHM is 10 Hz. The particle is suspended from a vertical spring. At the highest point of its oscillation the spring is unstretched. Maximum speed of the particle is (g=10 m/s2)

a
2πm/s
b
πm/s
c
1/πm/s
d
1/2πm/s

detailed solution

Correct option is D

Mean position of the particle is mg/k distance below the unstretched position of spring. Therefore, amplitude of oscillation is A=mgkω=km=2πf=20π(f=10Hz)mk=1400π2vmax=Aω=g400π2×20π=12πm/s

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