SHM and Circular Motion

43 MCQs

MCQs

43 questions · 35 min · 43 marks

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Sample questions

The first 5 of 43. Try each one, then tap to see the answer.

  1. Question 1

    When a particle moves uniformly in a circle its projection on a diameter executes:

    • AUniform motion
    • BSimple harmonic motion
    • CProjectile motion
    • DRotational motion
    Show answer

    Answer: B

    The projection of uniform circular motion on a diameter is SHM.

  2. Question 2

    The shadow of a ball attached to the rim of a uniformly rotating turntable on a screen:

    • AOscillates in simple harmonic motion
    • BMoves with constant velocity
    • CRemains at rest
    • DMoves in a circle
    Show answer

    Answer: A

    The shadow oscillates to and fro like a body attached to a spring.

  3. Question 3

    The instantaneous displacement of the projection is given by:

    • Ax = x0 sin 2ωt
    • Bx = x0 tan ωt
    • Cx = x0 cos ωt
    • Dx = x0/ωt
    Show answer

    Answer: C

    From the triangle POQ the displacement of the projection is x = x0 cos ωt.

  4. Question 4

    The velocity of a particle in SHM at displacement x is:

    • Av = ω(x0 + x)
    • Bv = ωx
    • Cv = x0/ω
    • Dv = ω sqrt(x0² - x²)
    Show answer

    Answer: D

    Using v = x0 ω sin ωt and sin²θ + cos²θ = 1 gives v = ω sqrt(x0² - x²).

  5. Question 5

    The maximum velocity of a particle in SHM is:

    • Ax0 ω
    • Bx0 ω²
    • Cx0/ω
    • Dω/x0
    Show answer

    Answer: A

    At the mean position x = 0 so v = x0 ω.

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