equations_collected

# equations_collected - G m is the total mass of the system...

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E-102 Kinetic Equations for System of Particles = i i a m F where i refers to i th particle, i F is the sum of external forces acting on the i th particle, and a refers to acceleration of the center of mass of the system of particles = i i i i o ) v m x r ( H where o is a fixed point, i r is the vector from o to the i th particle, i v is the velocity of the i th particle, and o H is the angular momentum (or moment of momentum) of the system about point o = i o i o H M where i o M is the sum of the moments about point o due to i F ρ = i i i i G ) v m x ( H where i ρ is a vector from center of mass G to the i th particle G H is the angular momentum (or moment of momentum) of the system about point G = i G G H M i where i G M is the sum of the moments about the center of mass G due to i F ρ ρ = i i i i rel G ) m x ( H and rel G H is the relative angular momentum (or relative moment of momentum) of the system about point G = i G G rel i H M v m x H H G p ρ + = where p is any point, ρ is a vector from point p to the center of mass

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Unformatted text preview: G, m is the total mass of the system of particles, v is the velocity of the center of mass of the system, and p H is the angular momentum (or moment of momentum) of the system about point p v m G = and G is linear momentum of the system of particles 1 2 t t i i G G dt F 2 1-= ∫ ∑ and 1 G is the linear momentum of the system at time t 1 , etc. 1 2 1 2 i o t t o i o H H dt M ∫ ∑-= and 1 o H is the angular momentum (or moment of momentum) of the system about point o at time t 1 , etc. 1 2 1 2 i G t t G i G H H dt M ∫ ∑-= and 1 G H is the angular momentum (or moment of momentum) of the system about point G at time t 1 , etc rel 1 2 1 rel 2 i G t t G i G H H dt M ∫ ∑-= and rel 1 G H is the relative angular momentum (or relative moment of momentum) of the system about point G at time t 1 , etc....
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## This note was uploaded on 04/09/2010 for the course ENG 102 taught by Professor Eke during the Winter '08 term at UC Davis.

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equations_collected - G m is the total mass of the system...

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