13. Rotational Inertia & Energy

Parallel Axis Theorem

29.4 Parallel Axis Theorem

A thin, rectangular sheet of metal has mass M and sides
of length a and b. Use the parallel-axis theorem to calculate the
moment of inertia of the sheet for an axis that is perpendicular to the
plane of the sheet and that passes through one corner of the sheet.

A thin uniform rod of mass M and length L is bent at its center so that the two segments are now perpendicular to each other. Find its moment of inertia about an axis perpendicular to its plane and passing through (a) the point where the two segments meet

Parallel Axis Theorem & Moment of Inertia - Physics Practice Problems

Find the moment of inertia of a hoop (a thin-walled, hollow ring) with mass M and radius R about an axis perpendicular to the hoop’s plane at an edge.

A uniform bar has two small balls glued to its ends. The bar is 2.00 m long and has mass 4.00 kg, while the balls each have mass 0.300 kg and can be treated as point masses. Find the moment of inertia of this combination about an axis (d) parallel to the bar and 0.500 m from it.

Physics - Mechanics: Moment of Inertia (1 of 7) Parallel Axis Theorem: Example 1

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