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Question

Two moving particles P and Q are 10 m apart at a certain instant. The velocity of P is 8 m/s making 30 with the line joining P and Q and that of Q is 6 m/s making 30 with PQ in the figure. Then the angular velocity of Q with respect to P in rad/s at that instant is

A
0.4
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B
0.1
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C
0.7
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D
0
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Solution

The correct option is C 0.7
Draw a diagram of given problem.


Calculate angular velocity.
Formula used: ω=vr
P=Projection of Vp prependicular to the line PQSeparation between P and Q

VQsinθ2vpsinθ1PO

=6sin30(8sin30)10
Hence, after putting value according to question
=0.7 rad/s

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