The displacement of an object attached to a spring and executing simple harmonic motion is given by x = 2 × 10 –2 cos π t meters. The time at which the maximum speed first occurs is:
Text Solution
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To determine the position velocity, etc at first we write the general representation of wave and then compare the given wave equation with general wave equation
Given 
This gives 
At 
,
i.e. the object is at positive extreme, so to acquire maximum speed (i.e. the reach mean position) it takes 
th of the time period
Required time 
where, 
So, required time 
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