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Q.

The displacement of an object attached to a spring and executing simple harmonic motion is given by x=2×10-2cos πt meter. The time in second at which the maximum speed first occurs is

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answer is 0.5.

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Detailed Solution

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x=2×10-2cos πt  Here a=2×10-2 m=2 cm At t=0,x=2 cm 

i.e., the object is at positive extreme, so to acquire maximum speed (i.e., to reach mean position) it takes 14th of time period.

  Required time =T4  Where ω=2πT=π T=2 s  

So, required time  =T4=24=0.5 s

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