Long answer·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
A light rod carries two point masses and at distances and respectively from a fixed axis perpendicular to the rod. It is released from rest after being given rotational kinetic energy .
Total: 4 marks
(a) Find the moment of inertia of the system about the axis. (1 mark)
(b) Find the angular speed in terms of . (1 mark)
(c) Find the radius of gyration about the axis. (2 marks)
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