SHM MCQ 1
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Questions and Answers

What does the elastic constant (k) represent in Hooke's Law?

  • The rate of acceleration of the object.
  • The maximum displacement of the object.
  • The relationship between force and displacement. (correct)
  • The inertia of the object.

    • When does an object exceed its elastic limit?

  • When its acceleration becomes zero.
  • When the applied force is large enough and it doesn't return to its original state. (correct)
  • When its potential energy is at a maximum.
  • When its amplitude reaches a critical value.

    • What defines an object being in Simple Harmonic Motion (SHM)?

  • Its velocity is proportional to the displacement.
  • Its acceleration is directly proportional to its distance from a fixed point. (correct)
  • Its acceleration remains constant throughout the motion.
  • Its acceleration is always directed away from the equilibrium position.

    • In Simple Harmonic Motion, what happens to the potential energy of an object?

    <p>It decreases as kinetic energy increases.</p> Signup and view all the answers

    Which of the following is an example of Simple Harmonic Motion?

    <p>A pendulum swinging back and forth.</p> Signup and view all the answers

    What are the formulas for Hookes law and Elastic Constant k

    <p>F = -ks k = mg/s</p> Signup and view all the answers

    How is the acceleration of an object related to its displacement in Simple Harmonic Motion?

    <p>Acceleration is directly proportional to displacement.</p> Signup and view all the answers

    Which of the following energy conversions occurs during Simple Harmonic Motion?

    <p>Potential energy converts into kinetic energy and vice versa.</p> Signup and view all the answers

    What unit is used to measure the elastic constant in Hooke's Law?

    <p>Newton per metre</p> Signup and view all the answers

    What happens to the potential energy of an object as it undergoes Simple Harmonic Motion?

    <p>It decreases and converts into kinetic energy</p> Signup and view all the answers

    Study Notes

    Hooke's Law

    • The restoring force (F) is proportional to the displacement (s) from its equilibrium position.
    • The restoring force is in the opposite direction to the displacement.
    • F = –ks, where k is the elastic constant.

    Elastic Constant

    • The elastic constant (k) is the constant of proportionality relating force and displacement in Hooke's Law.
    • The unit of k is newton per metre (N m-1).

    Simple Harmonic Motion (SHM)

    • SHM is the periodic motion in which the acceleration of a body is proportional to the displacement of that body from its equilibrium position and directed towards that position.
    • A body is in SHM if:
      • Its acceleration is directly proportional to its distance from a fixed point on its path.
      • Its acceleration is always directed towards that point.

    Characteristics of SHM

    • The potential energy is converted into kinetic energy and vice versa during SHM.
    • Examples of SHM include:
      • A mass on the end of a spring or elastic band.
      • The rise and fall of the tide.
      • The prongs of a tuning fork when struck.

    Oscillations and Amplitude

    • A cycle or an oscillation is the movement from a particular position back to that same position.
    • Amplitude (A) is the maximum distance that an object moves from its equilibrium position.

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