Machines video lecture
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Slide Content
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Slide 1 - Machines
- Mechanical Advantage &
- Efficiency
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Slide 2 - Simple Machines
- Lever
- Inclined Plane
- Pulley
- Wheel & axle
- Wedge
- Screw
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Slide 3 - Lever
- F in
- F out
- din =distance between applied force and fulcrum
- dout =distance between load and fulcrum
- hin = the heigt force end moves
- hout = the height load end moves
- hin
- hout
- dout
- din
- dout
- din
- See-saw
- Scissors
- pliers
- Hole puncher
- Bottle opener
- wheelbarrow
- Fishing rod
- tweezers
- tongs
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Slide 4
- Inclined Plane:
- Output Force = Fout
- Input Force = Fin
- Work input = Work Output
- W in = W out
- F in d in = F out d out
- Input distance= din
- Output distance = dout
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Slide 5 - What if there is friction?:
- Work input + Work done by friction = Work Output
- W in + W f = W out
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Slide 6 - Mechanical Advantage
- Ideal Mechanical Advantage (IMA) depends only on the geometry of the system.
- However situations are never ideal!
- Actual Mechanical Advantage:
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Slide 7 - Efficiency:
- The ratio of the work output to work input.
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Slide 8 - Ex:
- Clyde, a stubborn 350 kg mule refuses to walk into the barn, so farmer McDonald must drag him up a 5 m ramp, which stands 0.5 m above ground level. He pulls with 450 N of force.
- What is the ideal MA?
- Find work input, work output and friction.
- What is the actual MA?
- Find the Efficiency of the ramp.
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Slide 9 - Ex:
- Clyde, a stubborn 350 kg mule refuses to walk into the barn, so farmer McDonald must drag him up a 5 m ramp, which stands 0.5 m above ground level. He pulls with 450 N of force.
- What is the ideal MA?
- Find work input, work output and friction.
- What is the actual MA?
- Find the Efficiency of the ramp.
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Slide 10 - Ex:
- Winnie holds a 50 N tray of lemonades in one hand. The length of her arm from her hand to elbow is 30 cm and her biceps exert a force 5 cm from her elbow. How much force must her biceps exert to allow her to hold the tray?
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Slide 11 - Ex:
- Winnie holds a 50 N tray of lemonades in one hand. The length of her arm from her hand to elbow is 30 cm and her biceps exert a force 5 cm from her elbow. How much force must her biceps exert to allow her to hold the tray?
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Slide 12 - Pulleys: What is the Ideal Mechanical Advantage?
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Slide 13 - Ex:
- Using a pulley system, Sam lifts the 1000 N engine 0.5 m, but exerts a force of 60 N on 10 m of rope to do so.
- What is the theoretical (ideal) mechanical advantage of the pulley system? How many supporting strands does it have?
- What is the ACTUAL mechanical advantage of the pulley system?
- How much work is done on the engine? How much work does Sam do?
- What is the work done by friction?
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Slide 14 - Ex:
- Using a pulley system, Sam lifts the 1000 N engine 0.5 m, but exerts a force of 60 N on 10 m of rope to do so.
- What is the theoretical (ideal) mechanical advantage of the pulley system? How many supporting strands does it have?
- What is the ACTUAL mechanical advantage of the pulley system?
- How much work is done on the engine? How much work does Sam do?
- What is the work done by friction?