In the given arrangement, the rod is free to rotate about the hinge and it is in constant contact with the equilateral triangular block of base length 2 a 3 . If the block is moving horizontally with a speed v = 20 ms - 1 , then find the ma

Question

In the given arrangement, the rod is free to rotate about the hinge and it is in constant contact with the equilateral triangular block of base length 2 a 3 . If the block is moving horizontally with a speed v = 20 ms - 1 , then find the magnitude of the angular velocity of the rod (in rad . s - 1 ) at the instant when θ = 30 o . [Given that a = 1 m ]

Quantrex Academy · Accepted Answer

Correct answer: 5

h x = tan θ x = h cot θ d x d t = − h cosec 2 θ d θ d t ω = v h sin 2 θ = 20 1 × 1 4 = 5 rad/s

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