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Test your understanding with targeted questions related to the topic.
Question 1
Easy
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.
Question 2
Easy
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.
Practice 4 more questions and get performance evaluation
Engage in quick quizzes to reinforce what you've learned and check your comprehension.
Question 1
What is the moment of inertia of a hollow sphere about its center?
💡 Hint: Recall standard moment of inertia formulas for various shapes.
Question 2
True or False: The angular momentum and the moment of inertia vector are always aligned.
💡 Hint: Consider how shapes rotate and their symmetry.
Solve and get performance evaluation
Push your limits with challenges.
Question 1
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.
Question 2
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.
Challenge and get performance evaluation