Type of mechanism is mounted on the living room?

  • Context: High School 
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Discussion Overview

The discussion revolves around identifying the type of mechanism mounted in a living room based on observations of a shadow and the student's experimental approach. The scope includes conceptual reasoning about motion, mechanisms, and the implications of experimental observations.

Discussion Character

  • Exploratory
  • Technical explanation
  • Debate/contested

Main Points Raised

  • One participant suggests that the mechanism could be a pendulum in normal oscillation or a rotary wheel with a single radius, based on the observed shadow.
  • Another participant questions the student's ability to determine both velocity and position of the moving sphere simultaneously from the shadow alone.
  • A later reply proposes that if the student has sufficient accuracy, they could determine if the motion is harmonic, which would indicate a rotary wheel; otherwise, it would suggest a pendulum.
  • Some participants discuss the possibility of the reverse being true regarding the identification of the mechanism.
  • There is a hint raised about whether a pendulum truly undergoes simple harmonic motion and whether this has been explicitly covered in the student's course.

Areas of Agreement / Disagreement

Participants express differing views on the identification of the mechanism and the implications of the student's observations. There is no consensus on the conclusions drawn from the experimental setup.

Contextual Notes

Limitations include the potential inaccuracies in the student's measurements and the assumptions regarding the nature of the motion being observed. The discussion also touches on the definitions of harmonic motion and whether they apply to the mechanisms in question.

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A student walks into a room with a groove on the ceiling. Turning off the lights, he sees a shadow moving the floor. With only a ruler and a stopwatch, the student is able to determine what type of mechanism is mounted on the living room?
 
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Is there more to this or should I just make something up?
 


More explanations:

In the first condition, the mechanism is a pendulum at normal oscilation. In the second case, the mechanism is a rotary wheel with single radius.

I suspect about student conclusion:
"In the both tests, by the shadow, it's impossible to determine the velocity and position of moving sphere at same time" :)
 
Last edited:


Well if the student is a gifted experimentalist with accurate enough ruler and watch, he could check whether the motion is harmonic. If it is, it must be the rotary wheel, otherwise the pendulum.:smile:
 


Or the reverse.
 


vanhees71 said:
Well if the student is a gifted experimentalist with accurate enough ruler and watch, he could check whether the motion is harmonic. If it is, it must be the rotary wheel, otherwise the pendulum.:smile:

(emphasis added by me)

Vanadium 50 said:
Or the reverse.

Hint: does a pendulum really undergo simple harmonic motion?

(and has the OP's course discussed that point explicitly?)
 

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