First slide
Simple harmonic motion
Question

A particle moves such that its acceleration a is given by a=bx , where x is the displacement from equilibrium position and b is a constant. The period of oscillation is

Moderate
Solution

In the given case, 

 DisplacementAcceleration=1b or ω2=b 2πT2=b
Time period  T=2πDisplacementAcceleration=2πb

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