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In classical mechanics, the Newton–Euler equations describe the combined translational and rotational dynamics of a rigid body.〔 〕〔 〕 〔 〕〔 〕〔 〕 Traditionally the Newton–Euler equations is the grouping together of Euler's two laws of motion for a rigid body into a single equation with 6 components, using column vectors and matrices. These laws relate the motion of the center of gravity of a rigid body with the sum of forces and torques (or synonymously moments) acting on the rigid body. ==Center of mass frame== With respect to a coordinate frame whose origin coincides with the body's center of mass, they can be expressed in matrix form as: : where :F = total force acting on the center of mass :''m'' = mass of the body :I3 = the 3×3 identity matrix :acm = acceleration of the center of mass :vcm = velocity of the center of mass :τ = total torque acting about the center of mass :Icm = moment of inertia about the center of mass :ω = angular velocity of the body :α = angular acceleration of the body 抄文引用元・出典: フリー百科事典『 ウィキペディア（Wikipedia）』 ■ウィキペディアで「Newton–Euler equations」の詳細全文を読む スポンサード リンク
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