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IB · A · multiple choice

Space, time and motion · Question 5

Space, time and motion · Original GioPhysics question with a detailed, mark-by-mark answer guide.

Demand
demanding
Marks
1
Topics
1
Answer
Complete
multiple choice1 mark

A disc of moment of inertia I rotates freely about a vertical axis at angular speed ω. A second, stationary disc of moment of inertia 2I is dropped onto it and the two rotate together. What is the new angular speed?

  1. A

    ω/3

  2. B

    ω/2

  3. C

    2ω/3

  4. D

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Answer overviewCorrect answer: A — ω/3
01

Answer and reasoning

1 mark
How to approach it

Predict from the governing principle before looking for a matching option. Then reject alternatives by checking direction, units, limiting behaviour or the physical meaning of each statement.

  1. 1

    The correct choice is A: ω/3

  2. 2

    No external torque acts about the axis, so Iω = (I + 2I)ω′ and ω′ = ω/3. B is the answer of a candidate who assumes the second disc is identical to the first.

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