Simple harmonic motion

Simple harmonic motion Quiz

Spec 4.2 · Edexcel A-Level Further Maths: Quiz

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  1. 1. A particle moves with x¨=−16x\ddot{x}=-16x. What is the period?

    • A. π4\frac{\pi}{4} s
    • B. π2\frac{\pi}{2} s
    • C. 2π2\pi s
    • D. 8π8\pi s

  2. 2. A particle in SHM has amplitude 3 m and ω=2\omega=2 rad s⁻¹. Find its speed when x=2x=2 m.

    • A. 2.24 m s⁻¹
    • B. 3.46 m s⁻¹
    • C. 5.00 m s⁻¹
    • D. 4.47 m s⁻¹

  3. 3. A particle in SHM has amplitude 0.2 m and ω=5\omega=5 rad s⁻¹. What is its maximum acceleration?

    • A. 5 m s⁻²
    • B. 1 m s⁻²
    • C. 25 m s⁻²
    • D. 0.04 m s⁻²

  4. 4. A particle of mass 0.5 kg hangs on a vertical spring of natural length 0.6 m and modulus of elasticity 30 N. What is ω\omega for vertical oscillations?

    • A. ω=5\omega=5 rad s⁻¹
    • B. ω=100\omega=100 rad s⁻¹
    • C. ω=10\omega=10 rad s⁻¹
    • D. ω=20\omega=20 rad s⁻¹

  5. 5. A particle of mass 2 kg moves in SHM with ω=3\omega=3 rad s⁻¹ and amplitude 0.5 m. What is the total energy of the motion?

    • A. 4.5 J
    • B. 2.25 J
    • C. 0.5625 J
    • D. 9 J

Quiz