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 explain why a rolling object has both translational and rotational kinetic energy, and add them. (Guide: “Rolling is translation plus rotation”; Practice Q4)
- I can explain why a wheel rolling without slipping moves forward one circumference per turn, giving Δx_cm = rΔθ, v_cm = rω and a_cm = rα. (Guide: “Rolling without slipping: the link between v and ω”)
- I can show, by adding translation and rotation, that the contact point is at rest and the top moves at 2v_cm. (Guide: Figure 1; Practice Q1)
- I can explain why static friction does no work on an object rolling without slipping, and what its torque does instead. (Guide: “Friction in ideal rolling does no work”; Practice Q3)
Calculation
- I can find the speed, angular speed and energy split of an object that rolls down a ramp. (Guide: Worked example 1; Practice Q4)
- I can derive v = √(2gh/(1 + β)) or a = g sin θ/(1 + β) and use them to compare objects. (Guide: “The ramp race”; Practice Q7)
- I can derive how high a rolling object climbs, and check the result with a limiting case. (Guide: Worked example 2)
- I can find the energy dissipated while an object slips, from measured values before and after. (Guide: Worked example 3; Practice Q6)
Reasoning and skills
- I can explain, without calculating, why a hoop rolls more slowly than a solid sphere, and why mass and radius do not matter. (Guide: “The ramp race”; Practice Q2, Q7)
- I can describe how v_cm and ω change while an object slips, and state the direction of kinetic friction. (Guide: “Rolling while slipping”; Practice Q6)
- I can linearise ramp data (v² against h) and use the slope to identify the shape of a rolling object. (Practice Q5)
- I can write a justification that explains where energy goes, not just the name of a law. (Guide: “Common misconceptions”; Practice Q7)
All ticked? Move on to Topic 6.6, Motion of Orbiting Satellites, or return to the course roadmap.