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STEP Support Programme

Equilibrium

90-S3-Q12

Smooth wedge, particle, elastic collision.

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[STEP III 1990 Question 12 (Mechanics)]

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90-S3-Q11

Uniform square lamina, revolution about axis, rotation.

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[STEP III 1990 Question 11 (Mechanics)]

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90-S2-Q13

Centre of gravity, non-uniform rod, light inextensible string.

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[STEP II 1990 Question 13 (Mechanics)]

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89-S2-Q14

Light inextensible string, circular motion, reaction force.

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[STEP II 1989 Question 14 (Mechanics)]

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89-S2-Q12

Uniform rectangular lamina, vertical plane, peg.

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[STEP II 1989 Question 12 (Mechanics)]

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88-S1-Q12

Skater, force, travelling in a circle, hitting bank.

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[STEP I 1988 Question 12 (Mechanics)]

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87-S2-Q12

String, ring, static equilibrium, shortest distance, plane polar coordinates, equation of curve.

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[STEP II 1987 Question 12 (Mechanics)]

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Spec-S3-Q12

Uniform rod, light inextensible string, inclined to the vertical, tension, resolve forces, centre of mass.

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[STEP III Specimen Question 12 (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)