Question

define moment of inertia of a rigid body

Answer 1

the property of an object by virtue of which it tends to retain its state of rest or of motion is called inertia .

it is of two types inertia of rest and inertia of motion

if a body is at rest it will remain at rest unless an external force is applied to change its state of rest this property is called the inertia of rest

a body in a state of motion continuous to be in the state of motion with the same speed in the same direction in a straight line unless an external force is applied on it to change its state
this property is called inertia of motion

The moment of inertia, otherwise known as the angular mass or rotational inertia, of a rigid body is a tensor that determines the torque needed for a desired angular acceleration about a rotational axis; similar to how mass determines the force needed for a desired acceleration

Answer 2

Answer:-

• The moment of inertia, otherwise known as the mass moment of inertia, angular mass or rotational inertia, of a rigid body is a quantity that determines the torque needed for a desired angular acceleration about a rotational axis; similar to how mass determines the force needed for a desired acceleration.
• Moment of Inertia. The moment of inertia is sometimes called and referred to as "angular mass." It is the "amount of resistance" to rotational motion. ... The moment of inertia is commonly used to calculate torque when multiplied by the angular acceleration.
• Moment of inertia about a given axis of rotation resists a change in its rotational motion; it can be regarded as a measure of rotational inertia of the body.
• The formula for moment of inertia is the “sum of the product of mass” of each particle with the “square of its distance from the axis of the rotation”. The formula of Moment of Inertia is expressed as I = Σ MiRi²

i hope it helps you.