Chapter 16
3-Dimensional Kinetics of a Rigid Body
רגעים ותוצר של אינרציה
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 ...
טנזור אינרציה
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 ...
רגע של אינרציה על ציר שרירותי
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 ...
תנע זוויתי על ציר שרירותי
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 ...
תנע זוויתי וצירים עקרוניים של אינרציה
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 ...
עקרון הדחף והרגע
Consider a rigid body undergoing a general planar motion, a combination of translational and rotational motion.
Newton's second law gives the equation ...
אנרגיה קינטית לגוף קשיח
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 ...
משוואת התנועה לגוף קשיח
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 ...
משוואות אוילר של תנועה
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 ...
תנועה חופשית מומנט
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 ...
Copyright © 2025 MyJoVE Corporation. All rights reserved