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Question

Force acting on a block is F =(−4x+8). Here F is in Newton and x the position of block on x-axis in meters_________

A
motion of the block is periodic but not simple harmonic
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B
motion of the block is not periodic
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C
motion of the block is simple harmonic about origin, x=0
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D
motion of the block is simple harmonic about x=2m.
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Solution

The correct option is D motion of the block is simple harmonic about x=2m.
Block has its SHM mean about the points where net force acting on it is Zero.
If is Zero about x=2m
Thus SHM has mean position at x=2m

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