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Inertia Table

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1. What is the primary purpose of an inertia table in the context of torsional pendulums?

  • To measure gravitational force
  • To determine the moment of inertia of different bodies
  • To calculate torque applied to rotating systems
  • To determine the weight of an object

2. What is the purpose of a plumb line?

  • To determine vertical alignment using gravity
  • To measure horizontal displacement
  • To suspend rotating machinery
  • To mark reference points for electrical wiring

3. Why does a plumb bob point directly toward the Earth's center of gravity?

  • Due to gravitational pull acting vertically downward
  • Because it is aligned with magnetic north
  • Because of wind resistance acting on the weight
  • Because it is magnetized

4. What is torsion?

  • The motion of an object along a circular path
  • The action of twisting one end of an object while the other end is fixed
  • The motion of an object in free fall
  • The vibration of particles in a transverse wave

5. What are torsional oscillations?

  • Oscillations involving linear displacement along an axis
  • Oscillations caused by a force acting vertically
  • Back-and-forth rotations around an axis due to restoring torque after twisting
  • Oscillations of objects suspended by a spring

6. What is the working principle of a torsional pendulum?

  • Gravitational pull and mass displacement
  • Air resistance and pendulum length
  • Restoring torque and rotational inertia causing angular SHM
  • Linear momentum conservation

7. In a torsional pendulum, what provides the restoring force for the oscillation?

  • Magnetic repulsion
  • Gravity
  • Twisting of the wire or string
  • Elastic string tension

8. What is inertia?

  • The resistance of an object to any change in its state of rest or uniform motion unless acted upon by an external force
  • The ability of an object to accelerate rapidly
  • The tendency of objects to rotate indefinitely
  • The property that causes objects to attract each other

9. What is the purpose of the mirror on an inertia table?

  • To measure the weight of the object
  • To reflect light for visual appeal
  • To observe surface deformations
  • To track angular displacement and accurately measure the period of oscillation

10. Which of the following is NOT a use of an inertia table?

  • Measuring linear acceleration of cars
  • Determining the moment of inertia
  • Verifying theoretical values of rotational inertia
  • Analyzing rotational motion and material properties

11. How can the vertical alignment of an inertia table be checked?

  • Using a plumbline to check vertical reference
  • Using a stopwatch
  • By measuring horizontal displacement
  • Using a protractor

12. If the inertia table is not vertical, how can you correct it?

  • Use magnets to hold it in place
  • Ignore the error if it's small
  • Tilt the object being measured
  • Adjust the legs or place shims under them to level the table

13. The motion of an inertia table during use is best described as:

  • Irregular vibration
  • Angular simple harmonic motion
  • Linear harmonic motion
  • Uniform circular motion

14. What is the moment of inertia?

  • The speed of rotation of an object
  • The force required to stop a rotating object
  • The property by which a body resists changes in its rotational motion about an axis
  • The distance from the center of mass to the pivot point

15. Which of the following expressions correctly defines the moment of inertia?

  • I = mr
  • I = mv²
  • I = ∑miri²
  • I = F × r

16. What is the radius of gyration?

  • The radius of a circle with the same area as the object
  • The maximum radius of the object
  • The radius of a disc spinning at maximum velocity
  • The distance from the axis where all mass can be concentrated to produce the same moment of inertia

17. Which of the following best defines the Theorem of Parallel Axes?

  • I = Icm + Ma², where Icm is moment of inertia about center of mass axis
  • I = M × r × v
  • The moment of inertia of any axis is the difference between two perpendicular axes
  • I = Icm − Ma²

18. What does the Theorem of Perpendicular Axes state?

  • Iz = Ix − Iy for a solid sphere
  • Ix = Iy = 0 for symmetric objects
  • Iz = Ix + Iy for a 3D body
  • Iz = Ix + Iy for a planar body