Answer to Question #281248 in Classical Mechanics for indi

Question

A thin uniform rectangular plate (lamina) is of mass m and dimensions 2a by a. Choose a coordinate system Oxyz such that the plate lies in the xy plane with origin at a corner, the long dimension being along the x-axis. Find the following. (a) The moments and products of inertia. Express your results in the form of the inertia tensor. (b) The moment of inertia about the diagonal through the origin. (c) The angular momentum about the origin if the plate is spinning with angular rate ω about the diagonal through the origin. (d) The kinetic energy in part (c).

Answer 1

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