It is clear from the equation that the moment of inertia of a body about an axis of rotation is equal to the sum of the product of the mass of each particle of that body and the square of its perpendicular distance from the axis of rotation. Here I represent the moment of inertia of the whole body about the axis of rotation and the sign Σ represents the sum. Mathematically, the product of the square of the mass of a particle and the distance from the axis of rotation is called the moment of inertia of the particle about the axis of rotation. The moment of inertia is a scalar quantity.
Therefore, a body in rotational motion opposes the external force-moment applied to change its rotational state, this tendency is called its Moment of Inertia. this tendency of the body is called its Moment of Inertia. Similarly, everybody in rotational motion, whether it is moving about the axis of rotation or capable of rotating, but at rest, opposes the change caused by the external force.
This tendency of an object is called its Inertia. According to Newton’s first law of motion, an object that is stationary will remain stationary and an object that is in motion will continue to move in a straight line with the same velocity unless an external force is applied to it, that is, an object can’t automatically change its position, but when an external force is applied on the object to change its position, then that object opposes it. Just as linear motion has inertia, so rotational motion has Moment of Inertia. “ When by applying a force or a couple of forces on a rigid body, that body stars rotating about an axis passing rotating about an axis passing through itself, then its motion is called Rotational Motion“.
this motion of the body is called rotational motion and the axis about which the body rotates is called the rotational axis.
#Moment of inertia of a circle using diameter free
If a body rests at a point in such a way that it is free to move around this point, then when an external force is applied to the body, it does not move in the direction of the force but moves along the axis passing through that point starts moving around. “ The center of the mass of the system is the point which all the mass of the system can be considered to be concentrated“. The Center of mass of a body or a system of particles is the point at which the entire mass of that body or system of particles can be assumed to be centered so that the rotational speed of a single particle equal to the total mass of the body-centered at the center of mass is the exact same.
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