Lesson 4C.4.2

4C.4.2 Simple harmonic motion Quiz: Pearson Edexcel Further Maths, Unit 33

20 questions

Written by Revision Ninja · Last reviewed 11 October 2026

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Lesson 4C.4.2, Simple harmonic motion: 20 multiple choice questions for the Pearson Edexcel Further Maths (9FM0), Unit 33: Newton's laws and simple harmonic motion, written with Revision Ninja.

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The 20 questions

  1. In simple harmonic motion, what is the direction and proportionality of the acceleration?

    • away from equilibrium
    • towards equilibrium
    • perpendicular to displacement
    • constant magnitude

  2. What is the period T of simple harmonic motion with angular frequency omega?

    • omega / (2 pi)
    • pi / omega
    • 2 omega / pi
    • 2 pi / omega

  3. For SHM with amplitude a, which relation gives the speed v at displacement x?

    • v^2 = omega^2 (a^2 - x^2)
    • v = omega (a - x)
    • v^2 = omega^2 (a^2 + x^2)
    • v^2 = omega (a^2 - x^2)

  4. The displacement solution x = a cos(omega t) describes a particle starting at what position and state?

    • x = 0 at rest
    • x = a at rest
    • x = a at max speed
    • x = 0 at max speed

  5. In simple harmonic motion, what term describes the maximum displacement from equilibrium?

    • frequency
    • wavelength
    • amplitude
    • period

  6. At the exact equilibrium position in simple harmonic motion, what is the particle's acceleration?

    • omega squared
    • zero
    • maximum
    • negative amplitude

  7. Where in a simple harmonic motion cycle does a particle achieve its greatest speed?

    • maximum amplitude
    • equilibrium position
    • turning points
    • extremities

  8. A particle of mass m oscillates on a light elastic string of natural length l and modulus lambda with small oscillations. What is its period?

    • 2 pi sqrt(m/(lambda l))
    • pi sqrt(ml/lambda)
    • 2 pi sqrt(ml/lambda)
    • 2 pi sqrt(lambda/(ml))

  9. A particle moves with x = 3 cos(2t). What is its period?

    • pi/2 s
    • 3 pi s
    • 2 pi s
    • pi s

  10. SHM has angular frequency 4 rad/s and amplitude 2 m. What is the speed when x = 1 m?

    • 8 m/s
    • 12 m/s
    • 2 sqrt(3) m/s
    • 4 sqrt(3) m/s

  11. SHM has angular frequency 3 rad/s and amplitude 0.5 m. What is the maximum acceleration?

    • 4.5 m/s^2
    • 1.5 m/s^2
    • 3 m/s^2
    • 9 m/s^2

  12. A particle in SHM has period 2 s. What is its angular frequency?

    • pi/2 rad/s
    • pi rad/s
    • 2 rad/s
    • 4 pi rad/s

  13. SHM has angular frequency 5 rad/s and amplitude 0.4 m. What is the maximum speed?

    • 2 m/s
    • 12.5 m/s
    • 5 m/s
    • 0.08 m/s

  14. A particle in SHM with omega = 2 rad/s has speed 6 m/s at the centre. What is its amplitude?

    • 12 m
    • 6 m
    • 3 m
    • 1.5 m

  15. A particle of mass 0.5 kg hangs on a light elastic string of natural length 0.8 m with modulus 8 N. What is the angular frequency of small oscillations?

    • 4 rad/s
    • 2 sqrt(5) rad/s
    • 20 rad/s
    • sqrt(5) rad/s

  16. A particle has acceleration a = -9(x - 2). What is its period of oscillation?

    • 6 pi
    • 2 pi/3
    • pi/3
    • 2 pi/9

  17. A particle in SHM has speed 4 m/s at displacement 3 m and speed 3 m/s at displacement 4 m, both on the same side of the centre. What is the amplitude?

    • sqrt(7) m
    • 5 m
    • 4 m
    • 7 m

  18. In SHM of amplitude a, at what displacement are the kinetic and potential energies equal?

    • a/2
    • a/3
    • a/sqrt(2)
    • a sqrt(2)

  19. Why is the period of simple harmonic motion independent of its amplitude?

    • energy is constant
    • frequency equals zero
    • omega lacks amplitude
    • mass cancels out

  20. A particle has x = 5 cos(pi t/2). At what first time is x zero?

    • pi s
    • 1 s
    • 2 s
    • 0.5 s

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