Chapter 16
3-Dimensional Kinetics of a Rigid Body
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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 ...
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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 ...
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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 ...
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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 ...
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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 ...
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Consider a rigid body undergoing a general planar motion, a combination of translational and rotational motion.
Newton's second law gives the equation ...
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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 ...
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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 ...
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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 ...
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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 ...
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