Transcript of Linear Impulse − Momentum Applications Chapter 9 KINE 3301 Biomechanics of Human Movement.
- Slide 1
- Linear Impulse Momentum Applications Chapter 9 KINE 3301
Biomechanics of Human Movement
- Slide 2
- The force shown below is applied to a 3 kg bowling ball with an
initial horizontal velocity of 2 m/s. Compute the final velocity of
the ball.
- Slide 3
- What was the impulse?
- Slide 4
- Integration of the force with respect to time (area under the
force time curve) can be used to obtain the velocity time
curve.
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- The two force curves shown below are applied to a 0.5 kg ball
with an initial horizontal velocity of 0 m/s. Compute the final
velocity of the ball after each force is applied. Draw an estimated
velocity-time curve that each force-time curve would produce.
- Slide 6
- Reaction Force Accelerates the CM The force applied accelerates
the ground in the direction of the force. The reaction force
accelerates the performers center of mass in the direction of the
reaction force.
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- Relationship between Force & Acceleration The shape of an
acceleration curve is the exactly the same as the force curve, only
the units are different.
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- Slide 9
- Vertical Impulse-Momentum Horizontal Impulse-Momentum
Impulse-Momentum
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- Use the average force to compute braking impulse, propulsion
impulse and Vx at midstance (t =.112 s) and toe-off (t =.234
s).
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- Braking and Propulsion Braking < Propulsion Vx = +.46 m/s
Braking Propulsion Vx = +.01 m/s Braking > Propulsion Vx = .24
m/s
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- Free Body Diagram for Vertical Impulse - Momentum
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- Use the average force F Ave = 1007.075 N to compute the
vertical impulse and Vy at toe-off (t =.234 s).
- Slide 14
- Use the average force to compute braking impulse, propulsion
impulse and Vx at t = 0.04, t = 0.4, and t = 0.7 s. Walking
Forces
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- Use the average force F Ave = 621.88 N to compute the vertical
impulse and Vy at toe-off (t = 0.76 s).
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- Vertical Force & Acceleration for a Vertical Jump
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- Use the average force at each time point to compute the
vertical velocity. t = 0.2 s, F Ave = 440 N t = 0.4 s, F Ave = 632
N t = 0.6 s, F Ave = 904 N
- Slide 19
- Use the average force at each time point to compute the
vertical velocity. t = 0.2 s, F Ave = 440 N
- Slide 20
- Use the average force at each time point to compute the
vertical velocity. t = 0.4 s, F Ave = 632 N
- Slide 21
- Use the average force at each time point to compute the
vertical velocity. t = 0.6 s, F Ave = 904 N
- Slide 22
- At t = 0.4 sec the jumper has a vertical velocity (Vy i ) of
0.26 m/s. Use the average force from t =.4 to t =.6 to compute the
impulse and the final vertical velocity at t = 0.6 sec. t = 0.2 s,
F Ave = 1449 N