Solve Pendulum Swing Angle Problem - Physics Adorers

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Homework Help Overview

The problem involves a pendulum with a specified length and velocity, seeking to determine the maximum angle it reaches relative to the horizontal during its swing. The context centers around energy conservation principles in physics.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • The original poster attempts to apply energy conservation to find the height and subsequently the angle. Some participants question the calculation of the angle based on the height derived from the energy equation.

Discussion Status

Participants are actively engaging with the calculations, with one confirming the height value while another offers a correction regarding the cosine relationship used to find the angle. There is an ongoing exploration of the correct interpretation of the geometry involved.

Contextual Notes

There is a reliance on a diagram for clarification, indicating that visual aids are being used to support the discussion. The original poster expresses uncertainty about the feedback received, suggesting a need for further clarification.

phunphysics2
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Greetings Physics adorers!

I was wondering if somebody could please check my work for the problem below.

A pendulum with a length 2m has a velocity of 3 m/s at its lowest point. What is the largest angle it creates relative to the horizontal as it swings. Hint: use energy conservation.


Here is my work
mgh=mv^2/2,,,,,,,,,,h=0.459 m,,,,,,,,,cos(angle) = h/r=0.459/2,,,,,,,,,,,angle=76.7 degree


Please let me know if it is correct. If it is wrong, please give suggestions on how I should correct.

Thanks!
 

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The value of h is ok.

But note that cos(angle) = (r - h)/r
 
Thank you for your response!

But I am not sure that I understand what you mean
 
Refer to the diagram attached.
 

Attachments

Thank you for the diagram! so cos (angle)= (2-.459)/(2)

= about 39.60 degrees?
 

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