Calculating & Plotting Period of Vibration for Slender Rod AB

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    Period Vibration
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Homework Help Overview

The problem involves calculating and plotting the period of vibration for a slender rod attached to two collars in a horizontal plane. The original poster seeks assistance in setting up the problem, particularly for varying angles and weight ratios.

Discussion Character

  • Exploratory, Assumption checking

Approaches and Questions Raised

  • The original poster asks for guidance on how to set up the problem. Participants inquire about the meaning of variables in the diagram, specifically the spring constant denoted as k.

Discussion Status

The discussion is ongoing, with participants clarifying terminology and confirming the interpretation of the spring constant. There is no explicit consensus yet on the setup of the problem.

Contextual Notes

The problem involves specific weight ratios and angles, which may require further exploration of their implications on the system's behavior.

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Homework Statement



The slender rod AB of weight W_{AB} is attached to two identical collars, each of weight W. The system lies in a horizontal plane and is in equilibrium in the position shown when the collar A is given a small displacement and released. Calculate and plot the period of vibration for values of the angle β from 10 to 80 degrees for weight ratios \frac{W}{W_{AB}} of 0, 2, and 4.

http://image.cramster.com/answer-board/image/20095101932446337758076418525009540.jpg

I'm looking for help as to how to set the problem up that's all! Any help is appreciated!

Homework Equations





The Attempt at a Solution

 
Last edited by a moderator:
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What does the k in the diagram represent?
 
spring constant, i would guess.
 
Yes it's the spring constant
 

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