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At the instant shown the wheel A is rotating at a constant angular velocity of 3

ID: 1852505 • Letter: A

Question

At the instant shown the wheel A is rotating at a constant angular velocity of 3000 rad/s clockwise and theta = 90 degree. The length of the bar BD is 250 mm and it has a mass of 5 kg. The collar has negligible mass and it slides along the rod freely. Compute the reactions at D. The moment of Inertia is I= ml^2/12.

Explanation / Answer

?(t) = ?(0) + at, where, ?(t) = angular velocity at time t, ?(0) = initial angular velocity and a = constant angular acceleration => ?(3) = 0 + 2*3 = 6 rad/s (Note that diameter of CD has no relevance.) For more theory on rotational motion, you can refer to the chapter on rotational motion in Physics Theory - XI of my free educational website listed below which I have created a s a part of my hobby.)