Simple Harmonic Motion Quiz

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Questions and Answers

What happens to the speed of the bob when it moves towards point B from O in the system described?

  • It fluctuates randomly
  • It increases
  • It decreases (correct)
  • It remains constant

In simple harmonic motion (SHM), the acceleration of the object is __________.

  • Always directed away from the mean position
  • Constant in magnitude
  • Always directed towards the mean position (correct)
  • Unpredictable

What is a key feature of a body executing Simple Harmonic Motion (SHM) in terms of its vibration?

  • It vibrates about a fixed position (correct)
  • It vibrates about multiple positions
  • It vibrates randomly
  • It does not vibrate at all

Which of the following statements best defines the time period of a pendulum in SHM?

<p>The time to complete one cycle of oscillation (C)</p> Signup and view all the answers

What is the relationship between the acceleration and displacement of an object in SHM?

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

Why is the period of a pendulum considered independent of its mass and amplitude?

<p>Because mass and amplitude do not affect the restoring force (C)</p> Signup and view all the answers

What is the time period of a simple pendulum dependent on?

<p>Length (B)</p> Signup and view all the answers

What is the frequency of a vibrating body defined as?

<p>Reciprocal of time period (C)</p> Signup and view all the answers

What is the maximum displacement from the mean position called in the context of Simple Harmonic Motion (SHM)?

<p>Amplitude (B)</p> Signup and view all the answers

In which type of waves do particles of the medium vibrate perpendicular to the direction of wave propagation?

<p>Transverse waves (D)</p> Signup and view all the answers

Which waves require a medium for their propagation?

<p>Sound waves (A)</p> Signup and view all the answers

What is the speed of a wave equal to?

<p>Product of frequency and wavelength (B)</p> Signup and view all the answers

What is required for an object to oscillate with Simple Harmonic Motion (SHM)?

<p>A restoring force proportional to the displacement from equilibrium (A)</p> Signup and view all the answers

In the context of SHM, what happens to the time period (T) if the length of a simple pendulum is increased?

<p>The time period increases (B)</p> Signup and view all the answers

What effect does damping have on the amplitude of oscillation in Simple Harmonic Motion?

<p>Damping progressively reduces the amplitude (B)</p> Signup and view all the answers

Which term refers to the maximum displacement of a particle from the equilibrium position in SHM?

<p>Amplitude (D)</p> Signup and view all the answers

If a ball is placed in a bowl and is disturbed from its equilibrium position, what type of motion will it exhibit?

<p>Simple Harmonic Motion (B)</p> Signup and view all the answers

How does the time period of a simple pendulum change if the acceleration due to gravity (g) is increased?

<p>The time period decreases (C)</p> Signup and view all the answers

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Study Notes

Simple Harmonic Motion (SHM) and Pendulum Behavior

  • The speed of the bob increases as it moves towards point B from O due to the conversion of potential energy into kinetic energy.
  • In SHM, the acceleration of the object is always directed towards the mean position and is proportional to the displacement from that position.
  • A key feature of a body executing SHM is that it vibrates about an equilibrium position and its motion is periodic.
  • The time period of a pendulum in SHM is defined as the time taken for one complete cycle of motion.
  • In SHM, the acceleration is directly proportional to the negative displacement from the mean position, illustrating Hooke's Law.
  • The period of a pendulum is independent of mass and amplitude because it primarily depends on the length of the pendulum and the acceleration due to gravity.
  • The time period of a simple pendulum is dependent on its length and the acceleration due to gravity (g).
  • The frequency of a vibrating body is defined as the number of complete cycles of motion occurring in one second.
  • The maximum displacement from the mean position in SHM is referred to as the amplitude.

Waves and Oscillation

  • In transverse waves, particles of the medium vibrate perpendicular to the direction of wave propagation.
  • Mechanical waves, such as sound waves, require a medium (solid, liquid, or gas) for their propagation.
  • The speed of a wave is equal to the product of its frequency and wavelength.
  • For an object to oscillate with SHM, it must experience a restoring force that is directly proportional to the displacement from its equilibrium position.
  • Increasing the length of a simple pendulum results in an increase in the time period (T), making it swing more slowly.
  • Damping refers to a decrease in the amplitude of oscillation over time due to energy loss, often from friction or resistance in the medium.
  • The maximum displacement of a particle from its equilibrium position in SHM is known as the amplitude.
  • When a ball is placed in a bowl and disturbed from its equilibrium position, it will exhibit oscillatory motion about the equilibrium position.
  • If the acceleration due to gravity (g) is increased, the time period of a simple pendulum decreases, resulting in a faster oscillation.

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