Energy and Momentum of Rotating Systems unit test
A test on this unit alone, marked as a percentage and a letter grade — for the test your class is actually sitting, rather than for May. Answer everything, then submit once: seeing the answer to question 3 before attempting question 4 makes the final percentage meaningless.
Torque, angular momentum and the second law
When to use energy vs angular momentum
Rotational work and power
Rolling race
Ball strikes a pivoted rod: the three moves
A rolling object carries two kinetic energies
Conservation of angular momentum
Racing shapes down a ramp
The condition for angular momentum conservation
A system that is both rolling and colliding
Why the skater gains kinetic energy
Angular momentum in orbits
Short answer 1. Define or explain: Angular impulse from a torque–time graph
3 ptsShort answer 2. Define or explain: K = L²/2I
3 ptsShort answer 3. Define or explain: Total kinetic energy of a rolling object
3 ptsShort answer 4. Define or explain: Why kinetic energy is lost in a rotational collision
3 ptsFree response
7 ptsA solid disk and a hollow hoop have the same mass M and radius R. Both are released from rest at the top of an incline of height h and roll without slipping to the bottom. (a) Explain, without calculation, why both objects arrive with less translational speed than a frictionless sliding block released from the same height. (b) Derive an expression for the translational speed at the bottom in terms of M, R, h, g and the moment of inertia I. (c) Use your expression to determine which object arrives first, and justify why the result does not depend on M or R.
Explain, without calculation, why both objects arrive with less translational speed than a frictionless sliding block released from the same height.
Derive an expression for the translational speed at the bottom in terms of M, R, h, g and the moment of inertia I.
Use your expression to determine which object arrives first, and justify why the result does not depend on M or R.