Work through the list without notes. If you cannot do a statement, follow its link, then come back. Guide = study guide; Practice = practice questions.
Understanding
- I can write the total kinetic energy of a body that moves and spins as translational plus rotational, using I about the centre of mass. (Guide: “Kinetic energy of a body that moves and spins”; Practice Q2)
- I can explain why the contact point of a rolling wheel is momentarily at rest and find the velocity of any rim point. (Guide: Figure 1; Practice Q1)
- I can explain why static friction dissipates no energy from an ideal rolling body, using the power F · v. (Guide: “Why static friction does no work here”; Practice Q3)
- I can explain why kinetic friction on a slipping body dissipates energy, and why v_cm and ω are not linked while it slips. (Guide: “Rolling while slipping”)
Calculation
- I can derive Δx_cm = rΔθ, v_cm = rω and a_cm = rα, and write rolling kinetic energy as ½M(1 + β)v_cm². (Guide: “Rolling without slipping: deriving the links”)
- I can combine F = Ma_cm, τ = I_cm α and a_cm = rα to find the acceleration of a rolling body and the friction on it, with its direction. (Guide: Worked example 1; Practice Q4)
- I can find the smallest coefficient of static friction that allows rolling without slipping. (Guide: Worked example 1(c); Practice Q4(b))
- I can find v_cm(t) and ω(t) for a slipping body, when rolling starts, and the energy dissipated. (Guide: Worked example 2; Practice Q6)
Reasoning and skills
- I can plot v² against h for ramp data, find β from the slope and plan a check for slipping. (Practice Q5)
- I can explain, with a factor of change, why a body with smaller β rolls down a slope faster. (Practice Q7)
- I can use angular momentum about a point on the floor to check the final speed of a slipping ball. (Practice Q6(d))
All ticked? Move on to Topic 6.6, Motion of Orbiting Satellites, or return to the course roadmap.