A homogeneous square plate of mass m and side c is held at points A and B

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A homogeneous square plate of mass m and side c is held at points A and B by a frame of negligible mass which is supported by bearings at points C and D. The plate is free to rotate about AB, and the frame is free to rotate about the vertical CD. Initially the plate lies in the plane of the frame (θ0 =90? and the frame has an angular velocity φ0 = 8 rad/s. If the plate is slightly disturbed, determine for the ensuing motion

(a) The minimum value of φ,

(b) The maximum value of θ.

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Vector Mechanics for Engineers Statics and Dynamics

ISBN: 978-0073212227

8th Edition

Authors: Ferdinand Beer, E. Russell Johnston, Jr., Elliot Eisenberg, William Clausen, David Mazurek, Phillip Cornwell

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