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Formative assessment questions for teaching physics

A2L Item 041

  • Description: Determine the ratio of masses for a pulley system to remain at rest.
  • Goal: Reasoning qualitatively.
  • Source: UMPERG
  • Keywords: Dynamics, Mechanics, Reasoning, Tension

The question for students:

Consider the arrangement of pulleys and masses shown below. The masses of the pulleys are small. Ignore friction.

Item041_fig1.gif

For what relationship of the masses would the masses remain at rest?

  1. m/M > 2
  2. m/M = 2
  3. m/M = 1.5
  4. m/M = 1
  5. m/M = 0.5
  6. m/M = 0.25
  7. m/M < 0.25
  8. none of the above
  9. Cannot be determined

Commentary for teachers:

Answer

(5); This problem can be reasoned although it is easy enough to solve algebraically. The problem is useful for demonstrating the value of free body diagrams for reasoning.