according to parallel axis theorem the moment of inertia of a body about any axis is equal to the sum of the moment of inertia of the body about a parallel axis passing through its Centre of mass and the product of its mass and the square of the distance between the two parallel axes.
Torque = Force x Perpendicular distance of the line of action of the force from the axis of rotation. It is also called moment of force.
torque is defined as the cross product of the vector by which the force's application point is offset relative to the fixed suspension point (distance vector) and the force vector, which tends to produce rotational motion.
Angular momentum is also referred as moment of linear momentum
The angular momentum L of a particle of mass m with respect to a chosen origin is given by
Direction of angular momentum is according to right hand rule.
It is the perpendicular distance from the axis of rotation to a point mass of mass m that gives an equivalent inertia to the original object (of mass, m)
if radius of gyration is k then
According to perpendicular axis theorem "For a planar object, the moment of inertia about an axis perpendicular to the plane is the sum of the moments of inertia of two perpendicular axes through the same point in the plane of the object".
according to parallel axis theorem the moment of inertia of a body about any axis is equal to the sum of the moment of inertia of the body about a parallel axis passing through its Centre of mass and the product of its mass and the square of the distance between the two parallel axes.
Rolling motion without slipping involve both translation motion and rotation motion. Hence kinetic energy of body in rolling motion is the sum of both translation kinetic energy and rotational kinetic energy.