Chapter 16
3-Dimensional Kinetics of a Rigid Body
관성의 모멘트와 곱
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 ...
관성 텐서
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 ...
임의 축에 대한 관성 모멘트(Moment of Inertia)
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 ...
임의 축에 대한 각운동량(Angular Momentum about an Arbitrary Axis)
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 ...
각운동량(Angular Momentum)과 관성축(Principle Axes of Inertia)
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 ...
임펄스와 모멘트의 원리
Consider a rigid body undergoing a general planar motion, a combination of translational and rotational motion.
Newton's second law gives the equation ...
강체를 위한 운동 에너지
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 ...
Rigid Body에 대한 모션 방정식
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 ...
오일러 운동 방정식
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 ...
토크 프리 모션
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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