Conical pendulums

Conical pendulums Quiz

Spec MD5 · AQA A-Level Further Maths: Quiz

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  1. 1. A 0.30.3 kg particle on a string makes 60∘60^\circ with the vertical in a horizontal circle. Find the tension. (g=9.8g=9.8)

    • A. 2.942.94 N
    • B. 5.885.88 N
    • C. 5.095.09 N
    • D. 3.393.39 N

  2. 2. Which pair of equations describes a conical pendulum?

    • A. Tsin⁡θ=mgT\sin\theta=mg and Tcos⁡θ=mω2rT\cos\theta=m\omega^2r
    • B. T=mgT=mg and Tsin⁡θ=mω2rT\sin\theta=m\omega^2r
    • C. Tcos⁡θ=mgT\cos\theta=mg and Tsin⁡θ=mω2rT\sin\theta=m\omega^2r
    • D. Tcos⁡θ=mω2rT\cos\theta=m\omega^2r and Tsin⁡θ=mgT\sin\theta=mg

  3. 3. A conical pendulum has string length 0.40.4 m. Find the least angular speed for horizontal circular motion. (g=9.8g=9.8)

    • A. 2.472.47 rad s⁻¹
    • B. 24.524.5 rad s⁻¹
    • C. 9.809.80 rad s⁻¹
    • D. 4.954.95 rad s⁻¹

  4. 4. A particle is on two strings, AA above BB, both taut. Which statement is correct?

    • A. The vertical component of TAT_A equals the weight plus the vertical component of TBT_B.
    • B. The two tensions are always equal.
    • C. The horizontal components of the tensions cancel.
    • D. The weight equals the sum of the vertical components of the tensions.

  5. 5. A conical pendulum has ω=5\omega=5 rad s⁻¹. Find its period.

    • A. 0.800.80 s
    • B. 1.261.26 s
    • C. 31.431.4 s
    • D. 0.200.20 s

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