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Question

A force F=(a+2xbx) N is acting on a body of mass 4 kg, which is moving in a straight line. Is the body moving in simple harmonic motion ? If yes, find the equilibrium position of the particle.
[Assume a>2,b>2]


A
No 
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B
Yes,a(b+2)
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C
Yes,(b2)a
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D
Yes,a(b2)
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Solution

The correct option is D Yes,a(b2)
Given that,
F=a+2xbx
F=(b2)x+a
F=(b2)[xab2]
Fx
For simple harmonic motion
F=kx

So, the body is moving simple harmonically. 

For equilibrium position 
F=0
(b2)[xa(b2)]=0
 x=ab2

Physics

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