Question
Download Solution PDFThe moment of inertia of a body is a measurement of:
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFMoment of inertia (MOI) in physics, quantitative measure of the rotational inertia of a body i.e., the opposition that the body exhibits to having its speed of rotation about an axis altered by the application of a torque (turning force). The axis may be internal or external and may or may not be fixed.
- For point mass Moment of inertia is simply the mass times the square of the perpendicular distance to the axis of rotation.
⇒ I = m × r2
where I is the Moment of Inertia, m is point mass, r is the perpendicular distance from the axis of rotation.
- For a rigid body system, the moment of inertia is the sum of the moments of inertia of all its particles taken about the same axis.
⇒ I = Σ miri2
where I is the Moment of Inertia, m is point mass, and r is the perpendicular distance from the axis of rotation.
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