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Q.

A uniform rod of length 2m. Velocity of point ‘B’ is 10 m/s as shown in figure and angular velocity of rod is 7 rad/s. Then

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a

Velocity of point A is 10 m/s at an angle of 53o with rod

b

Velocity of point A is 10 m/s at an angle of 37o with rod

c

Velocity of point A is 6 m/s perpendicular to the rod

d

Velocity of point A is 82 m/s at an angle of 45o with rod

answer is D.

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Detailed Solution

Let velocity at end A is v. The components of velocities at ends, along the length of the rod should be equal, 10cos⁡37∘=vcos⁡θ …….(i)And angular velocity ω=vsin⁡θ+6L ……(ii)From Eqs. (i) and (ii), we get v=82m/sNow from Eq. (i),cos⁡θ=10cos⁡37∘v=10×4/582=12⇒θ=45∘
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