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STEP Support Programme

Circular Motion

Spec-S3-Q13

Bead on a rolling circular hoop, second order differential equation, slip, reaction force.

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[STEP III Specimen Question 13 (Mechanics)]

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Spec-S2-Q14

Uniform disc, angular speed, constant frictional force, rate of change.

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[STEP II Specimen Question 14 (Mechanics)]

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Spec-S2-Q12

Simple harmonic oscillation, period, bead on wire, string and springs, small angle approximation, inequality.

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[STEP II Specimen Question 12 (Mechanics)]

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Spec-S1-Q13

String, angular speed, horizontal circle, vertical plane motion.

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[STEP I Specimen Question 13 (Mechanics)]

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Useful Links

Underground Mathematics: Selected worked STEP questions

STEP Question database

University of Cambridge Mathematics Faculty: What do we look for?

University of Cambridge Mathematics Faculty: Information about STEP

University of Cambridge Admissions Office: Undergraduate course information for Mathematics

Stephen Siklos' "Advanced Problems in Mathematics" book (external link)

MEI: Worked solutions to STEP questions (external link)

OCR: Exam board information about STEP (external link)

AMSP (Advanced Maths Support programme): Support for University Admission Tests (external link)