第 16 章
剛体の 3 次元運動学
モーメントと慣性積
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 ...
イナーシャテンソル
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 ...
任意の軸の周りの慣性モーメント
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 ...
任意の軸の周りの角運動量
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 ...
角運動量と慣性主軸
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 ...
インパルスとモーメントの原理
Consider a rigid body undergoing a general planar motion, a combination of translational and rotational motion.
Newton's second law gives the equation ...
剛体の運動エネルギー
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 ...
リジッドボディの運動方程式
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 ...
オイラー運動方程式
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 ...
トルクフリーモーション
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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