6.9 - MOMENT OF INERTIA
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Practice Questions
Test your understanding with targeted questions
What is the moment of inertia of a uniform disk of mass M and radius R about its center?
💡 Hint: Consider how mass is distributed uniformly across the disk.
Can moment of inertia change with different axes of rotation?
💡 Hint: Think of a shape like a rectangle and how it would rotate around different axes.
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Interactive Quizzes
Quick quizzes to reinforce your learning
What is the moment of inertia of a hollow sphere about its center?
💡 Hint: Recall standard moment of inertia formulas for various shapes.
True or False: The angular momentum and the moment of inertia vector are always aligned.
💡 Hint: Consider how shapes rotate and their symmetry.
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Challenge Problems
Push your limits with advanced challenges
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?
💡 Hint: 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?
💡 Hint: Apply τ = Iα directly without substitutions.
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