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
A ball of mass is attached to a light string and moves in a vertical circle of radius . At the lowest point its speed is .
Total: 4 marks
(a) Find the speed at the top of the circle. (1 mark)
(b) Find the tension at the top. (1 mark)
(c) Find the tension at the bottom. (1 mark)
(d) Is the motion safely above the just-complete condition? (1 mark)
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