Simple Harmonic Motion Basics

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Questions and Answers

Which of the following statements about SHM is true?

  • Displacement, velocity, and acceleration vary sinusoidally with time (correct)
  • The acceleration is not related to the displacement
  • All oscillatory motions are SHM
  • The restoring force is random

What is the defining characteristic of Simple Harmonic Motion (SHM)?

  • The restoring force is inversely proportional to the displacement
  • The restoring force is directly proportional to the displacement (correct)
  • The direction of acceleration changes constantly
  • The displacement is always zero

What is the equation for acceleration in Simple Harmonic Motion (SHM)?

  • a(t) = ω x(t)
  • a(t) = -2ω x(t)
  • a(t) = -ω2 x(t) (correct)
  • a(t) = ω2 x(t)

Why is Simple Harmonic Motion (SHM) described as a special case of oscillatory motion?

<p>Because the displacement from the mean position is directly proportional to the restoring force (B)</p>
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How does understanding Simple Harmonic Motion (SHM) benefit the study of sound waves, light waves, and alternating currents?

<p>It aids in understanding the characteristics of sound waves, light waves, and alternating currents (B)</p>
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What is the condition for linear Simple Harmonic Motion (SHM)?

<p>Restoring force should always be proportional to the displacement (C)</p>
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What is the key term that represents the point at which the net force acting on a particle in Simple Harmonic Motion is zero?

<p>Mean Position (B)</p>
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What does the amplitude in Simple Harmonic Motion represent?

<p>Maximum displacement of the particle from the mean position (A)</p>
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How is the phase of a vibrating particle defined in Simple Harmonic Motion?

<p>The state of the vibrating or oscillating particle regarding its displacement and direction of vibration at a specific instant (D)</p>
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What is the relationship between Frequency and Time Period in Simple Harmonic Motion?

<p>$Frequency = 1/T$ (C)</p>
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