Drawing free body diagrams for pendulum

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Homework Help Overview

The discussion revolves around drawing and labeling the free body diagram of a pendulum at its maximum amplitude of 30 degrees. Participants are exploring the forces acting on the pendulum and the conditions at this specific angle.

Discussion Character

  • Conceptual clarification, Assumption checking

Approaches and Questions Raised

  • The original poster attempts to describe their free body diagram, noting the direction and magnitude of tension and gravitational forces. Some participants question the clarity of the amplitude definition and the implications of the pendulum's motion at 30 degrees.

Discussion Status

Participants are engaged in clarifying the original poster's reasoning regarding the forces involved. There is a recognition of the need to ensure all criteria for the free body diagram are met, and some guidance is offered regarding the pendulum's state at maximum amplitude.

Contextual Notes

There is a mention of confusion regarding the definition of amplitude and the conditions of the pendulum at the specified angle, particularly concerning motion and rest states.

vu10758
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Homework Statement



I have to do this for a lab. Draw and label the free body diaggram of a pendulum when it is at its maximum amplitude of 30 degrees. The magnitudes of the vectors must be correctly scaled and the directions correct.


Homework Equations





The Attempt at a Solution



I drew the free body diagram with T pointing diagonally up and to the left. The arc angle is 30 degrees. I then draw gravity mg straight down with two components, mgcos(30) and mgsin(30). I reasoned that mgcos(30) is smaller than T in magnitude because the pendulum is in motion. The tension and centripetal force are in the same direction, and the pendulum is not at rest. Is my reasoning correct?
 
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Seems okay from your description, but we aren't going to know whether you fulfilled all the criteria for the free body diagram.

That first statement is confusing. An amplitude of 30 degrees?
 
Mindscrape said:
Seems okay from your description, but we aren't going to know whether you fulfilled all the criteria for the free body diagram.

That first statement is confusing. An amplitude of 30 degrees?


It means that at most the pendulum travels 30 degrees in either direction from equilibrium point.
 
vu10758 said:

Homework Statement



I have to do this for a lab. Draw and label the free body diaggram of a pendulum when it is at its maximum amplitude of 30 degrees. The magnitudes of the vectors must be correctly scaled and the directions correct.

Homework Equations



The Attempt at a Solution



I drew the free body diagram with T pointing diagonally up and to the left. The arc angle is 30 degrees. I then draw gravity mg straight down with two components, mgcos(30) and mgsin(30). I reasoned that mgcos(30) is smaller than T in magnitude because the pendulum is in motion. The tension and centripetal force are in the same direction, and the pendulum is not at rest. Is my reasoning correct?

At 30º the pendulum is momentarily at rest. There is no centripetal acceleration at that point.
 

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