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Coupled Pendulum

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1. What is a coupled pendulum?

  • A pendulum system submerged in a liquid to study viscosity
  • A pendulum that swings in both vertical and horizontal directions
  • A single pendulum oscillating in a magnetic field
  • Two or more pendulums connected by a spring or coupling mechanism to allow energy transfer

2. What is the 'beat' phenomenon?

  • A phenomenon where two waves of nearby frequencies interfere, producing periodic variations in amplitude
  • An oscillation with no damping effect
  • A pattern created by two waves with the same frequency
  • The natural frequency of a single pendulum

3. What characterizes an underdamped oscillation?

  • It has no restoring force
  • It oscillates with gradually decreasing amplitude due to small damping
  • It returns to equilibrium without oscillating
  • It oscillates with amplitude increasing over time

4. In which type of oscillation does the system return to equilibrium without oscillating and in the shortest time possible?

  • Critically Damped Oscillation
  • Underdamped Oscillation
  • Overdamped Oscillation
  • Forced Oscillation

5. What is an overdamped oscillation?

  • An oscillation with no damping at all
  • An oscillation where the system never returns to equilibrium
  • An oscillation with multiple frequencies
  • A system with strong damping that returns to equilibrium slowly without oscillating

6. What are coupled oscillations?

  • Oscillations with no damping or friction
  • Oscillations that occur at only one natural frequency
  • Oscillations in which motion is confined to one direction only
  • Oscillations where two or more systems interact and exchange energy

7. What does the damping factor describe?

  • How quickly oscillations die out over time
  • The number of oscillations per second
  • The total energy in the system
  • The amplitude of the wave

8. What does 'degree of freedom' refer to in pendulum motion?

  • The number of cycles it completes per second
  • The amplitude of the pendulum's swing
  • The number of pendulums in a system
  • The minimum number of coordinates needed to describe its motion

9. A simple pendulum has how many degrees of freedom?

  • One
  • Zero
  • Three
  • Two

10. What is the center of oscillation in a compound pendulum?

  • The point where the entire weight of the pendulum acts
  • The point where the pendulum is suspended from
  • The point at which a pendulum stops oscillating
  • The point where, if the entire mass were concentrated, the time period would remain unchanged

11. What defines the center of percussion of a pendulum?

  • The point where an impact causes maximum force at the pivot
  • The point at which the pendulum is suspended
  • The point of maximum oscillation
  • The point where an impact does not cause a reactive force at the pivot

12. What is the center of suspension in a pendulum?

  • The point where the pendulum is hung and oscillates about
  • The point where the pendulum's mass is concentrated
  • The point of equilibrium in oscillatory motion
  • The point of maximum amplitude

13. What is the center of mass of a body?

  • The geometric center of the object
  • The point where the entire mass can be considered concentrated for translational motion
  • The point where all gravitational forces cancel out
  • The point from which the pendulum hangs

14. How is the center of gravity best defined?

  • The same as the center of oscillation
  • The point where the gravitational field is strongest
  • The point where net torque is zero
  • The point at which the entire weight of the body acts for analyzing gravitational effects

15. Which of the following best describes a compound pendulum?

  • A set of pendulums transferring energy to each other
  • A rigid body oscillating about a horizontal axis in a vertical plane
  • A mass on a string swinging in a circular path
  • A particle suspended from a light string

16. What distinguishes a compound pendulum from a simple pendulum?

  • It oscillates in a horizontal rather than a vertical plane
  • It uses a spring instead of a string
  • It swings faster than a simple pendulum
  • It has mass distributed along its length and a moment of inertia

17. What is Barton’s Pendulum known for?

  • Being a rigid body with a fixed pivot point
  • Its oscillation in a conical path
  • Having multiple pendulums of varying lengths transferring energy through a common bar
  • Using a spring for its motion

18. What describes a conical pendulum?

  • A pendulum system used to transfer energy among multiple masses
  • A heavy particle on a rigid rod swinging back and forth
  • A pendulum that oscillates in a straight line
  • A mass on a string that swings in horizontal circles, tracing a cone