e-102_mid_term_eqn_sheet

e-102_mid_term_eqn_sheet - Equation Sheet for E-102...

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Equation Sheet for E-102 Mid-Term Exam = 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
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