A homogeneous rectangular plate of mass m and sides c and 2c is held at A and B by a fork-ended…
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A homogeneous rectangular plate of mass m and sides c and 2c is held at A and B by a fork-ended shaft of negligible mass which is supported by a bearing at C. The plate is free to rotate about AB, and the shaft is free to rotate about a horizontal axis through C. Initially the plate lies in the plane of the fork (θ0 = 0) and the shaft has an angular velocity ϕ0 = 6 rad/s. If the plate is slightly disturbed, determine for the ensuing motion (a) the minimum value of ˙ f, (b) the maximum value of θ
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