Pendulum Problem with unknown angle

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Homework Help Overview

The discussion revolves around a pendulum problem involving a mass "m" and a string length "L," where the pendulum is released from a horizontal position. The objective is to determine the speed of the ball at a specific angle θ as a function of the given variables.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • Participants explore the use of energy conservation principles, questioning how to calculate potential energy at angle θ and its relation to kinetic energy. There is uncertainty regarding the application of motion formulas and the calculation of height to determine potential energy.

Discussion Status

The discussion is ongoing, with some participants suggesting an energy approach to the problem. There is recognition of difficulties in calculating potential energy, and participants are actively engaging with the concepts involved.

Contextual Notes

Participants express challenges with specific formulas and concepts, particularly in relation to potential energy and its calculation. There is an indication of a need for clarification on the relationship between kinetic and potential energy in this context.

jg727
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A pendulum (with string length "L") and aball of mass "m" is pulled back to a horizontal position and then released. Assuming that θ is the angle between the string and the vertical, find the speed of the ball (v) at an angle of θ as a function of m,g,L, and/or θ.


I just can't get my mind around this problem...
 
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Welcome to PF, jg!
I could be horrendous using motion formulas.
Have you considered an energy approach? The initial Ek is easy. Can you find the height when at angle θ and thus the potential energy? From that you can get the Ek at θ and then the speed.
 
Thank You!
Ok, so I guess I am actually having problems with finding the potential energy. I'm completely blanking.
 
PE = mgh
 

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