It depends upon the velocity with which the object is travelling.... Higher the velocity, higher will be the moment of inertia.....
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.
The moment of inertia (writen I, with an indice indicating the axis in which it is expressed) mesures the opposition any kind of body will have against a certain momentum (along that same axis) trying to rotate that body
Inertia is the inherent property of a body that makes it oppose any force that would cause a change in its motion. A body at rest and a body in motion both oppose forces that might cause acceleration. The inertia of a body can be measured by its mass, which governs its resistance to the action of a force, or by its moment of inertia about a specified axis, which measures its resistance to the action of a torque about the same axis.
Inertia is the inherent property of a body that makes it oppose any force that would cause a change in its motion. A body at rest and a body in motion both oppose forces that might cause acceleration. The inertia of a body can be measured by its mass, which governs its resistance to the action of a force, or by its moment of inertia about a specified axis, which measures its resistance to the action of a torque about the same axis. It was from Newton's first law of motion,that leads to the definition of inertia .
I section has more moment of inertia than any other sections like square or rectangular section. More moment of inertia implies more resistance to bending and hence stiffer.
Inertia is the property of a body that makes it oppose any force that causes a change in motion.
inertia comes from the word iner, meaning lazy or idle. hence inertia is the tendency of a body to remain unchanged. it is also the tendency that opposes any change in the state of rest of a body or the state of uniform velocity in a straight line.dimension of inertia is [ML0T0]
Newton First Law of motion states that "A body continues in its state of rest or of uniform motion in a straight line until/unless an external force is applied upon it" Why is it so? "Inertia is the property of a body to resist any change in its state of rest or of uniform motion in a straight line" Newton's first law of motion is also therefore known as law of inertia because of the inertia the body will remain in its initial state forever. And mass is the measure of the inertia of a body.
This tendency is known as Inertia.
Think of it as the difference in moment of inertias for two solid cubes. Calculate the moment of inertia of a solid cube with dimensions equal to the inner dimensions of your hollow cube. Then calculate the moment of inertia of a solid cube with dimensions equal to the outer dimensions of your hollow cube. Subtract the moment of inertia of the inner dimensions from the moment of inertia of the outer dimensions to get the moment of inertia of what's left. Same concept applies to finding the area of a thin-walled circle. Outer area - inner area = total area. Outer moment of inertia - inner moment of inertia = total moment of inertia. This approach won't work however if you're considering hollow shell - a cube with walls of zero thickness. If the axis of rotation goes through the cube center, perpendicular to one of its walls, first calculate moment of inertia of the wall that the axis passes through (let's call it Ia). For all equations below d equals surface density(mass per unit of area) and a is length of cube's side. Ia= d * a4 / 6 Then you have to calculate moments of inertia of four walls parallel to the axis. This will be Ib=4 * Iwall=4*d*a4/3. Total moment of the shell will be then: I=2*Ia+Ib=1.5*d*a4. If the axis is through the center and ┴ one face, I = (m/6)*[a² - (a-t)²], or I = (m/6)(2at - t²) for any value of t, however small. Source: CRC Std Math Tables
Inertia is the inability of a body to move from rest or stop/change the motion of a moving object without the help of any external forces.
The reluctance of a body to change its state of motion is termed inertia. The mass associated with this property is called its inertial mass, notably different from gravitational mass, which is responsible for objects with mass experiencing an attractive force between them. The inertial rest mass of an object is what gives it momentum.