Understanding the Dynamics of a Simple Pendulum

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Homework Help Overview

The discussion revolves around the dynamics of a simple pendulum, specifically focusing on the tension in the string at various angles during its motion. Participants are examining statements related to the tension and its relationship with gravitational force and angular position.

Discussion Character

  • Conceptual clarification, Assumption checking

Approaches and Questions Raised

  • Participants are analyzing specific statements regarding the tension in the pendulum string, questioning the correctness of each based on their understanding of forces acting on the mass. There is a focus on the conditions under which tension equals gravitational force.

Discussion Status

Some participants are exploring the reasoning behind why certain statements are deemed incorrect, particularly regarding the conditions at which tension equals the weight of the mass. There is an ongoing examination of the assumptions made about the pendulum's motion and acceleration.

Contextual Notes

Participants are working under the constraints of identifying correct statements about tension without providing complete solutions. The discussion reflects a need for clarification on the dynamics involved at different angles of the pendulum's swing.

vroman
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A simple pendulum consists of a mas M suspended by a thin string. The magnitude of the tension is T. The mass swings back and forth between +,- theta0.
I need help identifying which of the following statements are correct. These are my answers, but I'm getting something wrong.

A)T=Mg at some angle between zero and theta0 not correct
B)T is largest at the bottom (theta=0) Correct
C)The vertical component of tension is constant Correct
D)T is smallest when theta=+,- theta0 Correct
E)T depends on theta Correct
F)T equals Mg when theta=theta0 Not correct
G)T is greater than Mg for theta =theta0 Not correct

I would really appreciate some help with this problem, Thanks!
 
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Discuss "A".Why do you think it is incorrect...?

Daniel.
 
Because I thought T=mg at 0.
 
vroman said:
Because I thought T=mg at 0.

Only if the mass is not accelerating at 0, and the only time that happens is if the mass is at rest at zero. Your mass is always moving at 0. What is the direction of acceleration at that point?
 

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