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The moment of inertia for point particles is directly related to their distance from the center of mass. The farther a point particle is from the center of mass, the greater its moment of inertia.

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What is the relationship between the center of buoyancy and the center of gravity in an object's stability in water?

The relationship between the center of buoyancy and the center of gravity in an object's stability in water is that for an object to be stable, the center of gravity must be located below the center of buoyancy. This ensures that the object will remain upright and not tip over in the water.


Why does the solid disk have a greater moment of inertia than the solid sphere, and how can this difference be explained?

The solid disk has a greater moment of inertia than the solid sphere because the mass of the disk is distributed farther from the axis of rotation, resulting in a larger rotational inertia. This difference can be explained by the parallel axis theorem, which states that the moment of inertia of an object can be calculated by adding the moment of inertia of the object's center of mass and the product of the mass and the square of the distance between the center of mass and the axis of rotation.


What is the proof of the parallel axis theorem?

The proof of the parallel axis theorem involves using the moment of inertia formula and the distance between two axes. By applying the formula and considering the distance between the axes, it can be shown that the moment of inertia of an object about a parallel axis is equal to the sum of the moment of inertia about the object's center of mass and the product of the object's mass and the square of the distance between the two axes.


The rotational inertia of an object increase as the mass and the distance of the mass from the center of rotation?

Answer #1:The Rotational Inertia of an object increases as the mass "increases" and thedistance of the mass from the center of rotation "decreases".=================================Answer #2:If Answer #1 were correct, then flywheels would be made as small as possible,and a marble would be harder to spin than a wagon wheel is.An object's rotational inertia (moment of inertia) increases in direct proportionto its mass, and increases in proportion to the square of the distance of themass from the center of rotation.


Why does the moment of inertia increase when mass is distributed farther from the center of a rotating object?

The moment of inertia increases when mass is distributed farther from the center of a rotating object because the mass is located at a greater distance from the axis of rotation. This results in a larger rotational inertia, making it harder to change the object's rotational motion.

Related Questions

Does the moments of Inertia change if center of mass change?

No, the moment of inertia of an object does not change with a change in its center of mass. The moment of inertia depends on the mass distribution and shape of an object, not its center of mass.


What is the relationship between the center of buoyancy and the center of gravity in an object's stability in water?

The relationship between the center of buoyancy and the center of gravity in an object's stability in water is that for an object to be stable, the center of gravity must be located below the center of buoyancy. This ensures that the object will remain upright and not tip over in the water.


Why does the solid disk have a greater moment of inertia than the solid sphere, and how can this difference be explained?

The solid disk has a greater moment of inertia than the solid sphere because the mass of the disk is distributed farther from the axis of rotation, resulting in a larger rotational inertia. This difference can be explained by the parallel axis theorem, which states that the moment of inertia of an object can be calculated by adding the moment of inertia of the object's center of mass and the product of the mass and the square of the distance between the center of mass and the axis of rotation.


What is the proof of the parallel axis theorem?

The proof of the parallel axis theorem involves using the moment of inertia formula and the distance between two axes. By applying the formula and considering the distance between the axes, it can be shown that the moment of inertia of an object about a parallel axis is equal to the sum of the moment of inertia about the object's center of mass and the product of the object's mass and the square of the distance between the two axes.


The rotational inertia of an object increase as the mass and the distance of the mass from the center of rotation?

Answer #1:The Rotational Inertia of an object increases as the mass "increases" and thedistance of the mass from the center of rotation "decreases".=================================Answer #2:If Answer #1 were correct, then flywheels would be made as small as possible,and a marble would be harder to spin than a wagon wheel is.An object's rotational inertia (moment of inertia) increases in direct proportionto its mass, and increases in proportion to the square of the distance of themass from the center of rotation.


In a 3x3 magic square what is the relationship between the center number and the sum?

Sum = 3 x centre


Why does the moment of inertia increase when mass is distributed farther from the center of a rotating object?

The moment of inertia increases when mass is distributed farther from the center of a rotating object because the mass is located at a greater distance from the axis of rotation. This results in a larger rotational inertia, making it harder to change the object's rotational motion.


Relationship between center of pressure with the depth of immersion?

hye... pls answer these question... i want submit my assigment tomorrow..........


What is the difference between centripetal force and inertia?

Centripetal force is the force directed towards the center of a circular path that keeps an object moving in a circle, while inertia is the tendency of an object to resist changes in its state of motion. Inertia is a property of an object, while centripetal force is the external force required to keep an object moving in a curved path.


Mass moment of inertia of a flywheel?

define moment of inertia§ I is the moment of inertia of the mass about the center of rotation. The moment of inertia is the measure of resistance to torque applied on a spinning object (i.e. the higher the moment of inertia, the slower it will spin after being applied a given force).


What is the relationship between the chord and the radius of circle?

The relationship between the chord and the radius of the circle is Length of the chord = 2r sin(c/2) where r = radius of the circle and c = angle subtended at the center by the chord


What is the moment of inertia about the instantaneous center in a rotating rigid body?

The moment of inertia about the instantaneous center in a rotating rigid body is a measure of how difficult it is to change the body's rotational motion around that point. It depends on the mass distribution and shape of the body.