The inertia is said to be the tendency of a body to be in its state of rest or of uniform motion.
To be frank, I don’t understand the meaning of the term “tendency” of lifeless bodies.
But by ‘Inertia’, I do mean the following.
When a body is at rest its inertia is measured by its mass and its momentum is zero.
When it is in uniform motion its inertia is measured by its momentum (mass x velocity)
When it is in uniform circular motion its inertia is measured by the product of mass and the perpendicular distance from the point about which there is circular motion. Or we can say it is the moment of mass about that point.
Moment measures the rotating effect of any quantity; it is the product of that quantity and the perpendicular distance of that quantity from that point. Greater is the product greater is the rotating effect of that quantity.
Like linear momentum in uniform motion, angular momentum is in circular motion. Angular momentum is the moment of linear momentum.
In linear motion, to change the momentum of a body a force is necessary; whereas in circular motion to change the angular momentum a torque (moment of force) is necessary.
If m is the mass, v is the velocity and r is the perpendicular distance, then the angular momentum is mvr = mrv. But v = r w, w is the angular velocity.
Therefore, angular momentum = mrrw. But we know mr is the inertia of the body in circular motion. The quantity mrr is therefore the moment of Inertia = I.
Therefore, angular momentum is I w. It is similar to the linear momentum which is mv.
Linear momentum is the product of inertia at rest and velocity.
Angular momentum is the product of moment of inertia ( in circualar motion) and the moment of linear velocity.
The moment of inertia is the moment of moment of mass about any point.
2006-06-09 20:14:48
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answer #1
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answered by Pearlsawme 7
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First of all, inertia is defined as the tendency of an object to remain at a constant velocity. That just happens to be a fundamental property of all matter...Thus, it is one of the fundamantal laws of classical physics which is used to describe the motion of matter and how it is affected by applied forces.
One definition of Moment of inertia is: Moment of inertia, also called mass moment of inertia and, sometimes, the angular mass, quantifies the rotational inertia of an object, i.e. its inertia with respect to rotational motion, in a manner somewhat analogous to how mass quantifies .. OR It is the tendency of a body to resist angular acceleration.
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Just as mass is a measure of how readily an object accelerates due to a given force, the moment of inertia of an object measures how easily an object rotates about a particular point of rotation. Thus, objects with a larger moment of inertia about a given point will be harder to rotate with a set torque. Correspondingly, a larger torque will cause a larger acceleration on a particular body.
2006-06-09 14:15:57
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answer #2
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answered by Anonymous
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Moment of inertia is the rotational inertia of something that can rotate. In other words, it is a measure of how much force is needed to cause a particular change in the object's RPM (Revolutions Per Minute). "Regular" inertia is just the resistance of an object to changing its linear velocity, or a measure of how much force is needed to change it's velocity by so many miles per hour.
2006-06-09 14:21:05
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answer #3
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answered by campbelp2002 7
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Physics. The tendency of a body to resist acceleration; the tendency of a body at rest to remain at rest or of a body in straight line motion to stay in motion in a straight line unless acted on by an outside force.
Resistance or disinclination to motion, action, or change: the inertia of an entrenched bureaucracy
Good Luck
2006-06-09 14:01:38
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answer #4
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answered by WyattEarp 7
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Inertia is the tendency of mass to continue moving at present speed and course, unless something changes it; or, if resting, its tendency to resist being moved.
2006-06-09 15:16:30
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answer #5
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answered by rockEsquirrel 5
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inertia is force in rest without movement...
2006-06-09 14:05:27
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answer #6
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answered by Anonymous
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Norman rules he is right
2006-06-09 15:56:31
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answer #7
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answered by Anonymous
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