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Question

A particle SHM and its position varies with time as x= A sin ωt. Its average speed during its motion from mean position to mid-point of mean and extreme position is:

A
Zero
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B
3Aωπ
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C
Aω2π
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D
2Aωπ
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Solution

The correct option is B 3Aωπ
x=A2=Asinωt
sinωt=12
ωt=π6
t=π6ω
Average speed=TotaldistanceTotaltime
A/2π/6ω
=6Aω2π
Average speed=3Aωπ.

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