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A particle moves along X axis such that ...

A particle moves along X axis such that its acceleration is given by `a = -beta(x -2)`,where `beta` is a positive constant and x is the position co-ordinate.
(a) Is the motion simple harmonic?
(b) Calculate the time period of oscillations.
(c) How far is the origin of co-ordinate system from the equilibrium position?

Text Solution

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The correct Answer is:
(a) Yes , (b) `T=2pi sqrt((1)/(beta)), (c ) 2 unit`
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