Chapter 16
3-Dimensional Kinetics of a Rigid Body
Momente und Trägheitsprodukt
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 ...
Trägheits-Tensor
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 ...
Trägheitsmoment um eine beliebige Achse
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 ...
Drehimpuls um eine beliebige Achse
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 ...
Drehimpuls und prinzipielle Trägheitsachsen
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 ...
Prinzip von Impuls und Moment
Consider a rigid body undergoing a general planar motion, a combination of translational and rotational motion.
Newton's second law gives the equation ...
Kinetische Energie für einen starren Körper
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 ...
Bewegungsgleichung für einen starren Körper
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 ...
Euler-Gleichungen der Bewegung
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 ...
Drehmoment Freie Bewegung
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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