Simple harmonic motion

Simple harmonic motion Quiz

Spec I7 · AQA A-Level Further Maths: Quiz

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  1. 1. A particle has x′′=−25xx''=-25x. What is its period?

    • A. 55 s
    • B. 2π5\frac{2\pi}{5} s
    • C. 10π10\pi s
    • D. 2π25\frac{2\pi}{25} s

  2. 2. SHM has amplitude 0.4 m and ω=3\omega=3 rad s−1^{-1}. Find the maximum speed.

    • A. 0.1330.133 m s−1^{-1}
    • B. 3.63.6 m s−1^{-1}
    • C. 0.40.4 m s−1^{-1}
    • D. 1.21.2 m s−1^{-1}

  3. 3. Which solution of x′′=−4xx''=-4x has x=0x=0 and x′=6x'=6 at t=0t=0?

    • A. x=3sin⁡2tx=3\sin2t
    • B. x=6sin⁡2tx=6\sin2t
    • C. x=3cos⁡2tx=3\cos2t
    • D. x=13sin⁡2tx=\frac{1}{3}\sin2t

  4. 4. A 2 kg mass on a horizontal spring with k=50k=50 N m−1^{-1} oscillates. Find ω\omega.

    • A. 2525 rad s−1^{-1}
    • B. 15\frac{1}{5} rad s−1^{-1}
    • C. 55 rad s−1^{-1}
    • D. 100100 rad s−1^{-1}

  5. 5. SHM has a=2a=2 and ω=3\omega=3. Find the speed when x=1x=1.

    • A. 33
    • B. 333\sqrt3
    • C. 3\sqrt3
    • D. 66

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