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3 cards from this section. Quick, good the night before a test.
What is the moment of inertia of a uniform disk of mass M and radius R about its center?
Consider how mass is distributed uniformly across the disk.
Can moment of inertia change with different axes of rotation?
Think of a shape like a rectangle and how it would rotate around different axes.
What is the moment of inertia of a hollow sphere about its center?
Recall standard moment of inertia formulas for various shapes.
True or False: The angular momentum and the moment of inertia vector are always aligned.
Consider how shapes rotate and their symmetry.
A cylindrical shell of mass M and radius R is spinning about its central axis. If the radius doubles while the mass remains constant, how does the moment of inertia change?
Use the formula and consider the effect of the radius.
Consider a rotating system where an external torque is applied causing an angular acceleration of 5 rad/s². If the initial moment of inertia is 0.5 kg m², what external torque is required?
Apply τ = Iα directly without substitutions.
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