If a rigid rod of length l is rotating about a fixed end with constant angular velocity of 2ωrad/s. The angular velocity of one particle w.r.t another particle (arbitrarily chosen on rod) is
A
ωrad/s
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B
2ωrad/s
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C
ω2rad/s
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D
Zero
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Solution
The correct option is B2ωrad/s Let us take a rigid rod and choose any two particles as shown in the below figure
So, let us find the angular velocity of A w.r.t B
We have, vB=2ωx1 and vA=2ωx2 ⇒ωAB=vA−vBx2−x1=2ω(x2−x1)(x2−x1)=2ωrad/s