Pendulum

Moment of inertia of pendulum about the pivot point

Moment of inertia of pendulum about the pivot point
  1. What is the moment of inertia of a pendulum?
  2. What is the pivot point of a pendulum?
  3. What is l1 and l2 in compound pendulum experiment?

What is the moment of inertia of a pendulum?

T = 2 π I m g L . Note that for a simple pendulum, the moment of inertia is I=∫r2dm=mL2 I = ∫ r 2 d m = m L 2 and the period reduces to T=2π√Lg T = 2 π L g .

What is the pivot point of a pendulum?

It may be called a "bob" because its vertical position "bobs" up and down while its horizontal motion moves side to side. The pendulum string is attached to the overhead support by the pivot. The pivot might simply be a knot that ties the string to a hook in the ceiling.

What is l1 and l2 in compound pendulum experiment?

The distance between two such points, asymmetrically situated on either side of the C.G, will be the length (L) of the simple equivalent 𝑘2 pendulum. If the length OG is 𝑙1 and we measure the length 𝐺𝑆 = 𝑙1 𝑘2 along OG produced, then obviously = 𝑙2 . The period of oscillation about 𝑙1 either O or S is the same.

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