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Physics · Topic 11

Rotational mechanics

Sub-topic 1 2026 · National Preliminary Free

Moment of inertia of a uniform solid sphere

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Sub-topic 2 2024 · National Preliminary Premium

Moment of inertia of a uniform solid sphere

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Sub-topic 3 2026 · National Semifinal Premium

Radius of gyration of a solid sphere about a tangent (surface) axis

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Sub-topic 4 2026 · National One-Eighth Premium

Moment of inertia of a solid sphere about a diameter

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Sub-topic 5 2026 · National One-Eighth Premium

Speed from centripetal acceleration in circular motion

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Sub-topic 6 2026 · National One-Eighth Premium

Average torque from a change in angular momentum

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Sub-topic 7 2023 · National Preliminary Premium

Average torque from a change in angular momentum

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Sub-topic 8 2026 · National One-Eighth Premium

Moment of inertia of a thin cylindrical shell about its axis

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Sub-topic 9 2026 · National Preliminary Premium

Moment of inertia of a thin cylindrical shell about its axis

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Sub-topic 10 2018 · National Preliminary Premium

Moments/torque: effort needed on a lever

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Sub-topic 11 2018 · National One-Eighth Premium

Combined translational and rotational kinetic energy of a rolling cylinder

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Sub-topic 12 2024 · National One-Eighth Premium

Center of mass of a two-particle system from vector positions

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Sub-topic 13 2024 · National One-Eighth Premium

Balancing a uniform meter stick using moments

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Sub-topic 14 2026 · National One-Eighth Premium

Rotational kinetic energy of a solid cylinder spinning about its axis

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Sub-topic 15 2003 · National Semifinal Premium

Excess torque breaking a bolt during tightening

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Sub-topic 16 2013 · National Preliminary Premium

Conservation of angular momentum when net torque is zero (true/false)

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Sub-topic 17 2013 · National Preliminary Premium

Torque, not impulse, equals the rate of change of angular momentum (true/false)

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Sub-topic 18 2016 · National One-Eighth Premium

Moment of inertia of a spinning disk from angular momentum and angular velocity

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Sub-topic 19 2016 · National One-Eighth Premium

Net torque on a disk from moment of inertia and angular acceleration (derived from spin-up time)

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Sub-topic 20 2016 · National One-Eighth Premium

Moment of inertia of a disk from net torque and angular acceleration

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Sub-topic 21 2019 · National Preliminary Premium

Angular speed of a celestial body from its rotation period

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Sub-topic 22 2021 · National Quarterfinal Premium

Moment of inertia of a uniform sphere about a diameter, $I = \dfrac{2}{5}mr^2$

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Sub-topic 23 2021 · National Preliminary Premium

Time for angular speed to increase under constant angular acceleration

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Sub-topic 24 2022 · National Preliminary Premium

Moment of inertia from angular momentum and angular speed, $I = \dfrac{L}{\omega}$

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Sub-topic 25 2022 · National Preliminary Premium

True or false: a couple forms when equal/opposite forces lie along the same line

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Sub-topic 26 2022 · National Preliminary Premium

True or false: net torque from equal/opposite forces at the same point is zero

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Sub-topic 27 2022 · National Preliminary Premium

True or false: a couple forms when equal/opposite forces act at the same point

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Sub-topic 28 2022 · National Preliminary Premium

Torque about the origin from a force and position vector, $\boldsymbol{\tau} = \mathbf{r} \times \mathbf{F}$

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Sub-topic 29 2023 · National Preliminary Premium

Time to reach a given angular momentum under constant torque, from an initially stationary body

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Sub-topic 30 2023 · National Preliminary Premium

True or false: torque is the rate of change of angular momentum

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Sub-topic 31 2023 · National One-Eighth Premium

Riddle: moment of inertia, the rotational analog of mass

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