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Question

Two particles P and Q describe simple harmonic motions of same period, same amplitude, along thesame line about the same equilibrium position O. When P and Q are on opposite sides of O at the samedistance from O they have the same speed of 1.2 m/s in the same direction, when their displacements arethe same they have the same speed of 1.6 m/s in opposite directions. The maximum velocity in m/s ofeither particle is

A
2.8
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B
2.5
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C
2.4
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D
2
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Solution

The correct option is D 2
AWcos=1.2AWsin=1.6tan=43=530AW×35=1.2AW=2m/s

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