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Physics Fluid Mechanics Mix MCQ (Single Correct)

A 4 kg particle is moving along the x-axis under the action of the force F = - x N. When t = 2s, the particle passes through the origin and when t = 10s, its speed is 4√2 m/s. The amplitude of the motion is:

A
m/s
B
m/s
C
m/s
D
m/s

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Text Solution

Verified by Experts
The correct answer is:
A

a = - x

⇒ ⇒ ω ω =

T = =16 sec.

There is a time difference of between t = 2 sec. to

t = 10 sec. Hence particle is again passing through mean

position of SHM where its speed is maximum.

i.e. V max = A ω ω = 4 √ √ 2

A = = m/s.

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