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Questions  

A particle executes simple harmonic motion with an amplitude of 4 cm. At the mean position the velocity of the particle is 10 cm/s. The distance of the particle from the mean position when its speed becomes 5 cm/s is

a
3 cm
b
5 cm
c
2(3) cm
d
2(5) cm

detailed solution

Correct option is C

vmax=aω ⇒ω=vmaxa=104Now, v=ωa2−y2 ⇒v2=ω2(a2−y2) ⇒y2=a2−v2ω2⇒y=a2-v2ω2=42-5210/42=23cm

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A horizontal platform with an object placed on it is executing S.H.M. in the vertical direction. The amplitude of oscillation is 3.92×103m . What must be the least period of these oscillations, so that the object is not detached from the platform 


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