408L_LinImpulse-Momentum

# 408L_LinImpulse-Momentum - F t=m v=m(v2v1 Impulse(Ns F t...

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Linear Impulse – Momentum Relationship Σ F t = m v = m(v2-v1) Impulse (Ns) Product of a force applied over a period of time   ( Σ F t) Momentum (kg m/s) Quantity of motion. Product of mass * velocity   (m v) Positive (negative) changes  in Linear Momentum are  created by  Net  positive (negative) Linear Impulse. Course Reader:  Kinetics, p 48 - 53; Linear Impulse 53-61

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LINEAR IMPULSE Why?  Mechanism for controlling linear velocity of the total body  center of mass Necessary for successful completion of general  locomotion tasks, and athletic movements  Vv1 Vh1 V Vv2 V Vh2 V F t = m v = m(v2-v1) = mv2 - mv1 t
Net Linear Impulse ( Σ F* t) Generation -800 -600 -400 -200 0 200 400 600 800 0.000 0.040 0.080 0.120 0.160 0.200 0.240 Time (s) Horizontal Vertical Positive Impulse Negative Impulse Linear impulse magnitude =  area under the force-time  curve,  is dependent upon … 1) Ground reaction force magnitude ( Σ F) 2) ground contact duration ( t) Free Body Diagram F v F h h BW BW Net Vertical Force = Fv (+) + BW (-) touchdown take-off

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-800 -600 -400 -200 0 200 400 600 800 0.000 0.040 0.080 0.120 0.160 0.200 0.240 Time (s) Horizontal Vertical Positive Impulse Negative Impulse Net Linear Impulse,  the sum of negative and positive linear  impulse generated during the entire ground contact phase  (touchdown – take-off) time=0 touchdown force=0 take-off time (s) Ground reaction force (N) F t = m v = m(v2-v1) = mv2 - mv1 V1 V2 Free Body Diagram F v F h h BW BW
-500 -250 0 250

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408L_LinImpulse-Momentum - F t=m v=m(v2v1 Impulse(Ns F t...

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