Practice - Rolling without slipping
Practice Questions
Test your understanding with targeted questions
What is the relationship between linear velocity and angular velocity for rolling objects?
💡 Hint: Think about how linear speed relates to how quickly an object rotates.
Define angular displacement.
💡 Hint: Consider what happens to a wheel as it turns.
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Interactive Quizzes
Quick quizzes to reinforce your learning
What is a rigid body?
💡 Hint: Think about how a solid object behaves when moving.
In rolling without slipping, what is the correct relationship?
💡 Hint: Keep in mind how rotation affects movement.
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Challenge Problems
Push your limits with advanced challenges
A solid cylinder rolls without slipping down an inclined plane at an angle θ. Derive the forces acting on it and describe how these influence its motion.
💡 Hint: Consider the components of gravitational force acting along and perpendicular to the incline.
A spherical ball rolls off a table. If the radius is R and the angular velocity starts at ω, calculate its initial kinetic energy in terms of I and ω.
💡 Hint: Use the definition of moment of inertia for a sphere to solve.
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Reference links
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