406A Six simple Machines EXAMPLE Problems: (30pts)
 
For each machine problem below:
0.5pt) Diagram and label the machine with appropriate numbers
1pt) Determine the ideal mechanical advantage and the actual mechanical advantage
0.5pt) Determine the efficiency of the machine

 
These are in class examples, this video Video 73 & Video 74 walks through each step

 
    12pts
  1. Lever that is 1.22 meter on one side and 6.77 meters on the other is able to lift a 70.0N weight using only 14.0N.
  2. An incline plane that is 2.55 meters high and 8.25 meters long can raise an 94.0N package using 44.0N of force up the plane.
  3. Design two versions of a 5 wheel pulley system that that can lift 100.0N using only 25.6N of force.
  4. A wedge that is 8.33cm wide and 26.2cm long is used to spilt wood apart by using 185.0N of downward force to produce 450.0N of separation force.
  5. A jack with a screw pitch of 0.0602m and a 0.500m long handle is able to raise a 1123N car using 27.8N of force.
  6. A 1.20m radius wheel fixed to a 0.0852m radius axle is used to raise a 75.2N bucket of water using 12.2N of force.
     
    For each machine:
    • 1pt) Diagram the machine
    • 2pt) Determine the missing value

     
    18pts
  7. Lever that is 0.800 meter on one side and 7.20 meters on the other is able to lift a 120.0N weight with 95.0% efficiency.
  8. An incline plane that is 3.00 meters high and 15.00 meters long can raise an 600.0N package with 60.0% efficiency.
  9. A tire jack with a screw pitch of 0.0751m and a 0.722m long handle works at 35.2% efficiency. What is the maximum weight of the car that can be lifted using 24.0N of force?
  10. A 0.825m radius wheel fixed to a 0.0122m radius axle functions at 75.6% efficiency. How heavy of a weight could you lift if you use 14.2N of force turning the wheel?
  11. A pulley with a ideal mechanical advantage of 4.00 that lifts a 120.N load with 78.0% efficiency.
  12. What is the amount of applied force needed to split a log with 850.0N of separation force (outward total). If the wedge is 20.0cm long and 6.00cm at the base but only works at 56.0% efficiency?