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In any rotation the perpendicular distance coverd called moment arm . & also called position vector. for example :. in door the perp; distance b/w door & wall.
The ability of a body to maintain its state, either in motion or in rest position against any external force is called Inertia while the moment of inertia is defined as the measure of an object's resistance to any change in its state of rotation.
A moment is a period of time and a couple means 2 of something. Here are some examples: I will be there in just a moment. Grab a couple movies to bring. So one is time and one is an amount.
Because it is a measure of the "resistence" of an object to be accelerated in its rotation. An object with a big moment of inertia is more difficult to increase/decrease its angular velocity (speed of rotation), than an object with a low moment of inertia.
No, it does not depend on location if it is a pure moment.
A moment, M, is a rotational force measured in inch pounds; a couple is two forces, P, acting in opposite directions and separated by a distance, d. The product Pd is the couple and is measured in inch -pounds, and is an equivalent moment.
Two equal, but oppositely directed forces acting simultaneously on opposite sides of an axis of rotation. Since the translatory forces (forces that produce linear motion) cancel out each other, a force couple produces torque (rotatory forces) only. The magnitude of the force couple is the sum of the products of each force and its moment arm.
Two equal, but oppositely directed forces acting simultaneously on opposite sides of an axis of rotation. Since the translatory forces (forces that produce linear motion) cancel out each other, a force couple produces torque (rotatory forces) only. The magnitude of the force couple is the sum of the products of each force and its moment arm.
Moment of Inertia is defined as the product of mass and square of distance from its axis of rotation and it is denoted by I. I=mR2 Moment of Inertia depends upon mass from the axis of rotation of wheel rim e.g because the mass of big bicycle lie away from the axis of rotation of wheel rim.So M.O.I of big bicycle is Small than small Bicycle.
The centroid is the geometric centre of an object. Moment of inertia is a objects resistance to rotation and has the units kg.m^2
A couple is a mechanical term defined as a system of forces that produces a resultant moment but not a resultant force. The moment caused by a couple is different than the moment caused by a single force. The moment of a force is dependent upon a reference point (i.e. if this reference point changes the moment also changes), therefore it is a fixed (or bound) vector. However, the moment (or torque) of a couple is independent of a reference point. In other words any reference point will give the same torque. This fact is proven in Varignon's Second Moment Thereom. Since the moment (or torque) of a couple is independent of a reference point, it may be represented as a free vector. This means that the vector may be freely moved in space.
mass moment of inertia is the property of the body to resist rotation about the given axis where as the area moment of inertia is the resistance to bending about the given axis