CIVENG 2Q03 Lecture Notes - Lecture 1: Angular Velocity, Angular Acceleration, Momentum

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Useful formulas for the dynamics of systems of particles and rigid bodies. 1, 2,3, i i i i i r&& Position/velocity/acceleration vectors ir is the position of mass particle i ( i=v r& a v. Center of mass r is the position vector of the center of mass, which is denoted as g. Position/velocity/acceleration vectors x is the position of a material point on the body. Between any two points on the body with positions. 1 where and are the angular velocity and angular acceleration respectively. Center of mass x is the position vector of the center of mass, which is denoted as g. n n. 1 n m i r& , = = m i v a. 1 m i v i n m i i. B x x dm x& , = = dm. The angular moment of the system of particles relative to a fixed point p is.

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