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YES. Infact, an object can have infinitely different moment of inertias. It all depends on the axis about which it it rotating. You can allow an object to rotate about any axis (this may or may not pass through the object).
Yes, if you apply it to every individual particle, or use integration.However, for practical calculations, it is often convenient to consider rotary motion separately. There is a rotational equivalent of Newton's Second Law (force = mass x acceleration), where you replace the force with a torque, the mass with the moment of inertia, and the acceleration with angular acceleration.The moment of inertia for objects of different forms are calculated through integration.Yes, if you apply it to every individual particle, or use integration.However, for practical calculations, it is often convenient to consider rotary motion separately. There is a rotational equivalent of Newton's Second Law (force = mass x acceleration), where you replace the force with a torque, the mass with the moment of inertia, and the acceleration with angular acceleration.The moment of inertia for objects of different forms are calculated through integration.Yes, if you apply it to every individual particle, or use integration.However, for practical calculations, it is often convenient to consider rotary motion separately. There is a rotational equivalent of Newton's Second Law (force = mass x acceleration), where you replace the force with a torque, the mass with the moment of inertia, and the acceleration with angular acceleration.The moment of inertia for objects of different forms are calculated through integration.Yes, if you apply it to every individual particle, or use integration.However, for practical calculations, it is often convenient to consider rotary motion separately. There is a rotational equivalent of Newton's Second Law (force = mass x acceleration), where you replace the force with a torque, the mass with the moment of inertia, and the acceleration with angular acceleration.The moment of inertia for objects of different forms are calculated through integration.
The mass of the gasses that make up our atmosphere weigh much more than the human population (1 trillionth of the earths mass) and move opportunistically into dense and low density pockets in all positions at all times on the globe and they have absolutely no effect on the rotational inertia. Consider the earth is not a solid mass inside or out, it is basically a hydraulic dampener. Now if you could generate sufficient vibration waves in order to harmonically disrupt the fluid dampening effect it would be possible for the system to fault and the earth to throw a bulge.
Another name for Newton's first law is "the law of inertia."
The unit of Inertia is kg and the Moment of Inertia is kg*m^2
No. For the rotational inertia, the distribution of masses is relevant. Mass further from the axis of rotation contributes more to the rotational inertial than mass that is closer to it.
The physical quantity for rotations corresponding to inertia is the moment of inertia, or rotational inertia. It is represented by the integral of r^2dm.
The object's angular momentum
Mass and radius
rotational inertiaMass moment if inertia.
Stright
That is called moment of inertia.
That's what it's all about: about rotation. The "inertia" part is because it is comparable to the linear inertia: that's what makes it difficult to change an object's rotation.
Rotational inertia is sometimes called spin. It involves the movement of a mass around an axis. This moving mass will have some measure of kinetic energy that is due to the fact that it is spinning. The variables are the shape and the mass of the object, the way the mass is distributed within the object, the speed of its rotation, and the location of the axis of spin through the object. The moment of inertia might also be called angular mass, mass moment of inertia, rotational inertia, or polar moment of inertia of mass. Use the link below for more information.
(1) The general concept of inertia, according to newton's first laws, concerning objects' masses when it comes to resistance. (2) Rotational inertia (3) Gyroscopic inertia
(1) The general concept of inertia, according to newton's first laws, concerning objects' masses when it comes to resistance. (2) Rotational inertia (3) Gyroscopic inertia
Yes, having long legs can enhance rotational inertia because the mass of the legs is distributed further from the axis of rotation, increasing the moment of inertia. This can provide more stability and control in activities that involve rotation, such as gymnastics or diving.