0
What is the significance of the mass moment of inertia of any body about its center of mass always being constant?
The significance of the mass moment of inertia of any body about its center of mass always being constant is that it indicates the body's resistance to changes in its rotational motion. This property allows for predictability and stability in the body's movement, making it easier to analyze and understand its behavior.
What else can I help you with?
What is the relationship between the moment of inertia and center of mass for point particles?
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.
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 the acceleration is constant in free fall?
Acceleration is constant in free fall because gravity is the only force acting on the object, and it is a constant force that always points downward towards the center of the Earth. This constant force results in a constant acceleration of 9.81 m/s^2 near the surface of the Earth.
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.
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.
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 moment of inertia and center of mass for point particles?
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.
What force pull an object away from the center of a curved path?
Inertia is the "force" that causes an object in a curved path to pull away from the center. Inertia is actually the tendency of anything with mass to resist a change in motion. In other words, an object at rest will not move because of inertia, unless it is acted on by an unbalanced force, and an object in motion will continue to travel at a constant speed in a straight line unless acted on by an unbalanced force. An object traveling in a circular path pulls away from the center because inertia tries to keep the object traveling in a straight line.
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 the acceleration is constant in free fall?
Acceleration is constant in free fall because gravity is the only force acting on the object, and it is a constant force that always points downward towards the center of the Earth. This constant force results in a constant acceleration of 9.81 m/s^2 near the surface of the Earth.
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.
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 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.
What is moment of inertia of partially filled tube with liquid and set horizontal rotating about a vertical axis passing through its center?
The moment of inertia of a partially filled tube with liquid rotating horizontally about a vertical axis through its center is affected by the distribution of mass within the tube. The moment of inertia depends on the shape of the tube, the mass of the liquid, the radius of the tube, and the distance of the liquid's center of mass from the rotation axis. The parallel axis theorem can be used to calculate the moment of inertia of the tube and liquid system.
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.
Can something keep a constant velocity in a curve?
An object can maintain a constant velocity in a curve if it experiences a centripetal force directed towards the center of the curve, balancing its inertia. This occurs in circular motion when the object's speed and direction of motion are not changing, even though its velocity vector (including direction) is changing.
Consider a particle moving with constant speed such that its acceleration of constant magnitude is always perpendicular to its velocity?
Centripetal force is a force that makes a body follow a curved path: it is always directed orthogonal to the velocity of the body, toward the instantaneous center of curvature of the path. - See more at: http://www.chacha.com/question/what-is-the-path-of-a-moving-body-whose-acceleration-is-constant-in-magnitude-at-all-times-and-is-perpendicular-to-the-velocity#sthash.pqrkWxfT.dpuf
