Case study·Hard exam skill (4/5)·No calculator
Difficulty guide
The label describes the problem, not your ability.
1/5 - Foundational
Warm-up setup; checks one basic idea.
2/5 - Routine exam skill
Normal syllabus skill; usually one main rule or interpretation.
3/5 - Standard multi-step
Exam-style problem with multiple steps or a common trap.
4/5 - Hard exam skill
High-end exam problem; combines methods carefully.
5/5 - Challenge
Stretch problem beyond normal exam pressure.
Question
The same rigid body is rotated about two different parallel axes. About axis , its radius of gyration is ; about axis , its radius of gyration is . Its mass is .
Total: 4 marks
(a) Find . (1 mark)
(b) Find . (1 mark)
(c) For the same angular acceleration, compare the required torques about and . (1 mark)
(d) For the same angular speed, compare the rotational kinetic energies about and . (1 mark)
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