The moment of inertia for a differential element of a rigid body can be calculated by multiplying the mass of the element by the square of the shortest ...

The inertia tensor is used to describe the distribution of mass and rotational inertia of a rigid body. The inertia tensor is represented using a 3×3 ...

The moment of inertia is commonly discussed in relation to principal axes, but it can also be calculated for any arbitrary axis. When considering an ...

Consider a rigid body of mass 'm' and a center of mass at point G, rotating in an inertial reference frame. At an arbitrary point P, the angular ...

The angular momentum for a rigid body can be expressed as the integral of the cross-product of the position vector of the mass element with the ...

Consider a rigid body undergoing a general planar motion, a combination of translational and rotational motion. Newton's second law gives the equation ...

Consider a rigid body undergoing a general planar motion. Its center of mass is located at point G. The kinetic energy of the i-th particle of the rigid ...

The motion of a rigid body can be described using equations for translational motion and rotational motion about the center of mass. Newton's Second ...

Consider a rigid body rotating with an angular velocity of ω in an inertial frame of reference. Another rotating frame is attached to the body that ...

Torque-free motion refers to the movement of a rigid body without any external torques acting upon it. Consider an axisymmetric object, with the z-axis ...