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The pendulum is a thin ring with a radius of R 10 cm and a mass of m 500 g, suspended on a weightless thin rod with a length of l 0.4 m. Determine the moment of inertia of the pendulum relative to the axis around which the oscillations occur

The pendulum is a thin ring with a radius of R 10 cm and a mass of m 500 g suspended on a weightless thin rod with a length of l 04 m Determine the moment of in class=

Respuesta :

The moment of inertia of the pendulum is determined as 0.0025 kgm².

What is moment of inertia?

The moment of inertia of an object is defined as a measurement the rotation of the object around a fixed axis.

The pendulum can be modelled as a circular disk and the moment of inertia is calculated as follows;

I = ¹/₂Mr²

where;

  • M is mass of the pendulum
  • r is the radius of the pendulum
  • I is the moment of inertia of the pendulum

Substitute the given parameters and solve for the moment of inertia of the pendulum.

I = 0.5 X 0.5 kg x (0.1)²

I = 0.0025 kgm²

Thus, the moment of inertia of the pendulum is determined as 0.0025 kgm².

Learn more about moment of inertia here: https://brainly.com/question/3406242

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