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Katers Pendulum

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

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

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

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

3. 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

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

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

5. How is the center of gravity best defined?

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

6. Which of the following statements best explains why Kater's Pendulum is considered better than a Bar Pendulum for measuring gravity?

  • Kater's Pendulum is shorter and lighter than a Bar Pendulum, making it easier to handle.
  • Kater's Pendulum is better because it is simpler to construct and use.
  • Kater's Pendulum eliminates the effects of air resistance and friction through knife-edge suspension and reversibility, leading to more accurate measurements.
  • Bar Pendulum is more accurate because it has fewer components.

7. What is the primary purpose of Kater's Pendulum?

  • To measure the acceleration due to gravity with high precision
  • To measure the time period of a simple pendulum
  • To compare different types of pendulums
  • To demonstrate the principles of oscillation

8. What is the main advantage of using Kater's Pendulum over a simple pendulum?

  • It can be used in any environment without adjustments.
  • It is easier to set up and requires less space.
  • It provides a more accurate measurement of gravitational acceleration by allowing for adjustments to eliminate errors.
  • It can be used to measure other physical constants.

9. What defines a simple pendulum?

  • A system of pendulums of varying lengths connected to a bar
  • A pendulum with mass distributed along its length
  • A rigid body oscillating about a horizontal axis
  • A heavy particle suspended from a fixed support by a light inextensible string

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

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

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

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

12. What is Barton’s Pendulum known for?

  • Using a spring for its motion
  • 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

13. What describes a conical pendulum?

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

14. Which of the following is a reason why Kater's Pendulum is considered more accurate than a Bar Pendulum for measuring gravity?

  • It eliminates effects of air resistance and friction using a knife-edge suspension and reversible design
  • It is shorter in length and swings faster
  • It is easier to construct and calibrate
  • It uses electronic sensors for precise timing

15. Why is Kater’s Pendulum referred to as a 'reversible pendulum'?

  • It can be swung from two pivot points and the periods of oscillation are the same
  • It oscillates in both vertical and horizontal planes
  • It uses a reversible magnet system for calibration
  • It reverses its direction automatically after every swing

16. What is the 'effective length' in Kater's Pendulum?

  • The length of the metal rod used in the pendulum
  • The distance between the center of oscillation and the center of suspension
  • The total height from the pivot to the ground
  • The arc length traced by the pendulum's motion

17. How does Kater’s Pendulum allow for accurate measurement of gravity without knowing the exact center of mass?

  • By ensuring the same period of oscillation from both pivot points and using the distance between them
  • By using a digital sensor to detect motion
  • By using a perfectly uniform rod
  • By suspending it in a vacuum chamber

18. What must be measured in Kater’s Pendulum to calculate the acceleration due to gravity accurately?

  • The diameter of the pendulum’s rod
  • The distance between the pivots and the periods of oscillation
  • The weight and volume of the pendulum
  • The air resistance and damping force