The moments of inertia of a thin uniform rectangular plate about two mutually…
PHYSICS · Multi-part · AP · Physics 1: Algebra-based · Torque and Rotational Dynamics · Torque and Rotational Dynamics
Problem
The moments of inertia of a thin uniform rectangular plate about two mutually perpendicular axes lying in its own plane and passing through its centre are known to be Ix=0.08kg m2 and Iy=0.12kg m2.
(a) Calculate the moment of inertia Iz of the plate about an axis perpendicular to its plane and passing through the same point.
(b) If the plate is set into rotation about this perpendicular axis with an angular speed of 5rad s−1, determine its rotational kinetic energy.