Compound Pendulum (Steel C.P.)

Key Characteristics of a Steel Compound Pendulum:

1. Material: Steel

   • Provides high strength and consistent mechanical properties.

2. Oscillation Mechanism:

   • The pendulum swings about a fixed pivot under gravity.
   • Its motion is governed by rotational inertia (moment of inertia, I) and the center of mass position.

3. Period of Oscillation:

   • Given by: T=2πImgdT = 2\pi \sqrt{\frac{I}{mgd}}T=2πmgdI​​ where:
     • $I$ = Moment of inertia about the pivot
     • $m$ = Mass of the pendulum
     • $g$ = Acceleration due to gravity (9.81 m/s²)
     • $d$ = Distance from the pivot to the center of mass

4. Center of Percussion (C.P.):

   • A special point where impact forces do not cause rotational motion.

5. Adjustable Pivot:

   • Some experimental setups allow the pivot point to be changed to study the effects on oscillation.

6. Practical Applications:

   • Used in physics experiments to determine acceleration due to gravity (g).
   • Helps in analyzing rotational motion and damping effects in rigid bodies.