Solve the Pendulum Beam Problem with Simple Equations | Homework Help

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Homework Help Overview

The problem involves a uniform steel beam suspended from one end, swinging back and forth with a specified period. Participants are tasked with determining the length of the beam based on its oscillation period.

Discussion Character

  • Exploratory, Assumption checking, Conceptual clarification

Approaches and Questions Raised

  • Some participants attempt to apply the formula for a simple pendulum, questioning its applicability to a beam with a uniform mass distribution. Others suggest deriving a new formula suitable for a physical pendulum.

Discussion Status

The discussion is ongoing, with participants exploring the differences between a simple pendulum and a physical pendulum. There is recognition that the moment of inertia of the beam must be considered, indicating a productive direction in the conversation.

Contextual Notes

Participants note that the original formula used may not be appropriate due to the uniform mass distribution of the beam, highlighting the need for a different approach or formula specific to this scenario.

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Homework Statement



On the construction site for a new skyscraper, a uniform beam of steel is suspended from one end. If the beam swings back and forth with a period of 1.10 s, what is its length?

Homework Equations



T=2*pi*sqroor (L/g)

The Attempt at a Solution



(1.1/(2*3.14))^2*9.81=L

L=.3007m

This is wrong however and I don't understand why.
 
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PhyzicsOfHockey said:

Homework Statement



On the construction site for a new skyscraper, a uniform beam of steel is suspended from one end. If the beam swings back and forth with a period of 1.10 s, what is its length?

Homework Equations



T=2*pi*sqroor (L/g)

The Attempt at a Solution



(1.1/(2*3.14))^2*9.81=L

L=.3007m

This is wrong however and I don't understand why.
The period equation you have written is for a simple pendulum with a point mass at the end. You cannot use it for this case, since the mass is uniformly distributed along the beam. You must find or derive the correct formula for this case.
 
This is the case of physical pendulum. The gravitational force acts at centre of mass and u can assume a point mass hanging there and then calculate.
 
no, you will need the moment of inertia of the steel rod as well
 

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