Chapter 12 review


    Conceptual questions
      Section 12.1
      1. In conducting an investigation where you need to use a variety of different masses, compare the advantages of slotted masses and a small pail with sand poured into it.

      2. A slotted lab mass typically has a wedge removed from it (the “slot”). How does the “missing” slot affect the mass printed on the slotted lab mass?

      3. For the largest mechanical advantage, would you place a lever’s fulcrum closer to the input or output force?

      4. Easy How can you determine to which class a lever belongs?

      5. Medium Using the equivalence of torques for a lever in equilibrium, find the mechanical advantage of a lever.

      Section 12.2
        Gear A has more teeth than gear B
      1. Gear A has more teeth than gear B.
        1. If gear A is the input gear, is the mechanical advantage greater than one or less than one?
        2. If gear B is the input gear, is the gear ratio greater than or less than one?

      2. When constructing a block-and-tackle system for an investigation such as 12B on page 339, why is it better to use a spool of string or nylon thread rather than an elastic band to pass over the pulleys?

      3. Irini's machine using a motor, input shaft, then gears, followed by output shaft
      4. Irini has a motor that can provide 10 N m of torque. She plans to use gears to make a machine to produce 100 N m of output torque. Will the output shaft of her machine turn faster or slower than the input shaft connected to the motor? Why?

      5. Rosa slides a block across the table at constant speed against the force of friction. What is the efficiency at which her input work is transformed into mechanical energy of the block?

      1. Describe the relationship between the gear ratio and the mechanical advantage for a set of gears.

      2. Two configurations of gears
      3. Gear A has 52 teeth and gear B has 15 teeth. Gear A is used to drive gear B. Gear C has 30 teeth and is inserted between gears A and B. (In this case, gear A remains the input gear and gear B remains the output gear.)
        1. Does the gear ratio change when gear C is added?
        2. What happens to the direction of rotation of gear B?

      4. A system of gears has a mechanical advantage greater than one. You apply a force to the input gear and your friend applies a force to the output gear so that neither gear spins.
        1. Compare how much force each of you provides.
        2. Compare how much torque each of you provides.

      5. Applied force and load force for a wheel and axle
      6. Suppose you use a wheel and axle to hold steady a load that is attached to the axle. The axle and wheel are held up by supports that are not shown.
        1. Does the torque from your hand on the wheel balance with the torque from the load?
        2. Does the strength of the force from your hand on the wheel equal the strength of the force exerted by the load?
        3. If either does not balance, then explain what ensures that the system remains in static equilibrium.

      Section 12.3
      1. Bruce needs to lift an 80 kg dishwasher from street level to the bed of a moving van, 1 m higher. He plans to put the dishwasher on a wheeled dolly and then to push it up a ramp. He has two ramps to choose from, one 5 m long and the other 8 m long. Assume there is no friction.
        1. Which ramp (if either) requires Bruce to push with greater force?
        2. Which ramp (if either) requires Bruce to do a greater amount of work?


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