Chapter 16
3-Dimensional Kinetics of a Rigid Body
惯性矩量和乘积
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 ...
惯性张量
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 ...
绕任意轴的惯性矩
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 ...
绕任意轴的角动量
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 ...
角动量和惯性主轴
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 ...
冲量和力矩原理
Consider a rigid body undergoing a general planar motion, a combination of translational and rotational motion.
Newton's second law gives the equation ...
刚体的动能
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 ...
刚体的运动方程
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 运动方程
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 ...
无扭矩运动
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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