The moment of inertia of a uniform rectangular plate about a horizontal axis parallel…

PHYSICS · Multi-part · AP · Physics 1: Algebra-based · Torque and Rotational Dynamics · Torque and Rotational Dynamics

Problem

The moment of inertia of a uniform rectangular plate about a horizontal axis parallel to one of its edges and 0.10 m0.10\,\text{m} above its centre of mass is measured to be 0.54 kg m20.54\,\text{kg}\,\text{m}^2. The mass of the plate is 3.0 kg3.0\,\text{kg}. (i) Determine its moment of inertia about a parallel axis through the centre of mass. (ii) Calculate the radius of gyration of the plate about the given axis.

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