Moment of Inertia

35 MCQs This test covers torque, moment of inertia, the relation τ = Iα, angular momentum L = r × p and L = Iω with related numerical problems. It also covers conservation of angular momentum with its examples (diver, skater, turntable, Earth), flywheels and gyroscopes.

MCQs

35 questions · 30 min · 35 marks

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Sample questions

The first 5 of 35. Try each one, then tap to see the answer.

  1. Question 1

    The torque of a force F acting perpendicular to a rod of length r is:

    • Aτ = rF
    • Bτ = r/F
    • Cτ = F/r
    • Dτ = r + F
    Show answer

    Answer: A

    Torque is the turning effect of a force and equals the product of r and F.

  2. Question 2

    The SI unit of torque is:

    • AN s
    • BN m
    • Ckg m²
    • DJ s
    Show answer

    Answer: B

    Torque is force times distance so its unit is newton metre.

  3. Question 3

    The torque acting on a rotating rigid body is related to angular acceleration by:

    • Aτ = I/α
    • Bτ = Iω
    • Cτ = Iα
    • Dτ = α/I
    Show answer

    Answer: C

    Multiplying F = ma by r gives τ = (mr²)α = Iα.

  4. Question 4

    The rotational analogue of mass in linear motion is:

    • Atorque
    • Bangular velocity
    • Cangular momentum
    • Dmoment of inertia
    Show answer

    Answer: D

    Moment of inertia plays the same role in rotation as mass does in linear motion.

  5. Question 5

    The moment of inertia of a point mass m at distance r from the axis is:

    • Amr
    • Bmr²
    • Cm/r²
    • Dm²r
    Show answer

    Answer: B

    I = mr² as obtained from τ = mr²α.

More tests in Circular and Rotational Motion

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