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Question

A particle describes linear S.H.M. Its velocities are 3ms1 and 2ms1 when its displacements are 2 m and 3 m respectively from mean position. Find length of the path?

A
1.2 m
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B
4.6 m
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C
6.7 m
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D
7.2 m
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Solution

The correct option is D 7.2 m
v=ωA2x2;32=A24A29
Squaring, 94=(A24)(A29)
9A281=4A216;5A2=65
A2=655=13;A=13m
Length of the path =2A=213=7.2m.

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