Oscillations of elastic strings and springs

Oscillations of elastic strings and springs Quiz

Spec 3.3 · Edexcel International A Level Further Maths: Quiz

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  1. 1. A 11 kg particle on a smooth horizontal table is attached to a spring (λ=8\lambda=8 N, l=0.5l=0.5 m). Its period is

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

  2. 2. A 11 kg particle hangs from a spring (λ=49\lambda=49 N, l=0.5l=0.5 m). The equilibrium extension is

    • A. 0.050.05 m
    • B. 0.20.2 m
    • C. 0.10.1 m
    • D. 0.50.5 m

  3. 3. A particle oscillates horizontally with ω=5\omega=5 rad s−1^{-1} and amplitude 0.20.2 m. Its maximum speed is

    • A. 0.40.4 m s−1^{-1}
    • B. 11 m s−1^{-1}
    • C. 55 m s−1^{-1}
    • D. 0.040.04 m s−1^{-1}

  4. 4. SHM of a particle hanging on a string continues only while

    • A. the amplitude is less than the natural length
    • B. the string is slack
    • C. the particle is above equilibrium
    • D. the string stays taut

  5. 5. A 0.50.5 kg particle on a string (λ=5\lambda=5 N, l=0.4l=0.4 m) oscillates. Its period is

    • A. 2π25\frac{2\pi}{25} s
    • B. 52π\frac{5}{2\pi} s
    • C. 2π5\frac{2\pi}{5} s
    • D. π5\frac{\pi}{5} s

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