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Q.

At the instant shown, the board is moving vertically upward with speed v. The drum of radius ‘R’ winds up at a rate $ω (rad/s)$ . If the board always remains horizontal, springs taut. Find v.

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a

$\frac{ωR}{1+cosθ}$

b

$\frac{ωR}{cosθ}$

c

$\frac{ωR}{2+cosθ}$

d

$ωR$

answer is B.

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Detailed Solution

$V = θ R - v \cos θ$

$v = \frac{ω R}{1 + \cos θ}$

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