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?

A particle moves along X axis such that its acceleration is given by `

1.	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?
Answer» Correct Answer - (a) Yes , (b) `T=2pi sqrt((1)/(beta)), (c ) 2 unit`

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