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Question

Which of the following expressions represents an oscillatory motion ?

A
F=2(x2)3
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B
F=2(x2)2
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C
F=2x3
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D
F=2x3
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Solution

The correct options are
A F=2(x2)3
C F=2x3
Any oscillatory motion can be represented by
F=k(xa)n
where, n is an odd number and x=a is the mean position.
So, F=2(x2)3 is an oscillatory motion with mean point at x=2.
and F=2x3 is an oscillatory motion with mean point at x=0.

Note : For the oscillatory motion to be S.H.M, n=1

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