UNIT REVIEW: DYNAMICS
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Dynamics Test Date: ___________

 Students! If you have any problems with any of these questions, it is up to you to ask me for help in class. The

Topics covered on test:
  1. Resolving Forces (and free body diagrams); including non-linear problems requiring sine/cosine laws
  2. Newton's Laws of Motion: know all the postulates and how they apply to situations
  3. Uniform Circular Motion: such as acceleration around a corner
  4. Centripetal forces
  5. Tension-acceleration problems with and without friction (ie: Atwood's Machine, Dangler System, Dangler on a slope)
  6. Static equilibrium in forces.



  1. A baby carriage with a mass of 50 kg is being pushed along a rough sidewalk with an applied horizontal force of 200 N, and it has a constant velocity of 3.0 m/s.
    (A)What other force is acting on the carriage?
    (B)What is the magnitude of this force?   Answer: 200 N [back]
    (C)What value of applied horizontal force would be required to accelerate the carriage from rest to 7.0 m/s in 2.0 s?   Answer: 380 N.

  2. An empty railway flatcar of mass 15 000 kg is being pulled along a smooth, horizontal track by a tractor travelling on a road parallel to the track. The rope joining the tractor and the flatcar makes an angle of 25 degrees with the track.   If the acceleration of the flatcar is 0.80 m/s2, what is the force exerted by the rope on the flatcar?   answer: 13000 N at 25 degrees to the track.

  3. A boy on a toboggan is sliding down a snow-covered hillside. The boy and toboggan have a mass of 50 kg, and the slope is 30 degrees. Find the boy's acceleration if the kinetic coefficient of friction is 0.15.   Answer: 4.9 m/s2

  4. A plane is flying in a vertical loop of 1500 m radius. At what speed is the plane flying at the top of the loop, if the vertical force exerted by the plane on the air is zero at this point?   121.2 m/s

  5. A helium balloon is attached in the exact middle of a light fishing line which has both ends attached to the level ground.   The ends of the line make an angle of 5 degrees to the ground, at both ends.   Find the tension in the fishing line of the upward force of the balloon is 0.05 N. (answer: 0.29 N)

  6. Four children are having a tug-of-war, trying to pull a 100 kg mass.   Annie is pulling at 15 N [N], Betty is pulling at 12 N S[30]W, Cassie is pulling at 20 N S[20]E, and Danny is pulling at 10 N N[10] W.

    Find the acceleration of the mass. (answer:   0.044 m/s2 S[11]W)

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