Question 10.9: A thin homogeneous rectangular plate in Fig. 10.9 rotates ab...
A thin homogeneous rectangular plate in Fig. 10.9 rotates about a diagonal axis with angular velocity wand angular acceleration \dot{\omega} (i) What is the total torque exerted on the plate about C, referred to the principal body frame \varphi=\left\{C ; \mathbf{i}_k\right\}? (ii) Determine the total torque about C referred to the body frame \varphi^{\prime}=\left\{C ; \mathbf{i}_k^{\prime} \right\}, and identify the restraining torques acting on the plate. (iii) Discuss the role of the static bearing reaction force s, derive an equation relating the drive torque T to the rotation, and determine the dynamic bearing react ion forces. (iv) Suppose that T(t) is specified; find the angular speed.
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