Torque problem -- Squirrel standing on the end of a branch

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Homework Help Overview

The problem involves calculating the torque acting on a branch due to a squirrel standing at its end. The branch is positioned at an angle with respect to the vertical trunk of a tree, and the discussion centers around understanding the geometry and forces involved in torque calculation.

Discussion Character

  • Exploratory, Assumption checking, Problem interpretation

Approaches and Questions Raised

  • Participants discuss the conversion of mass to force and the determination of the distance (D) for torque calculation. Questions arise regarding the method used to find D, particularly the use of trigonometric functions and the interpretation of angles in the context of the problem.

Discussion Status

The discussion is ongoing, with participants questioning the assumptions made about the geometry of the problem and the calculations performed. There is a focus on clarifying the relationship between the branch's angle and the horizontal distance to the trunk, indicating a productive exploration of the problem's setup.

Contextual Notes

Participants are working with the constraints of the problem as presented, including the specific measurements and angles given. There is an emphasis on visualizing the scenario to aid in understanding the torque calculation.

Merrick
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Homework Statement


A 600-g squirrel stands on the end of a 2.5-m-long branch that makes an angle of 60 degrees with the vertical trunk of the tree. What torque acts on the branch due to the squirrel?

Homework Equations



Torque= FxD torque=torque

The Attempt at a Solution


I'm pretty stumped on this one. I converted 600g to kg getting .6 kg. Then multiplied that by 9.8 to get a force of 5.88. Then I found the length of what I think is D by using sin(30) = x/2.5 to get 1.25. Then I did torque= 5.88(1.25) to get 7.35 Newton meters. I have a feeling I'm completely wrong though. Any help would be appreciated.
 
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Merrick said:
... what I think is D by using sin(30) = x/2.5 to get 1.25.

What makes you "think" this is D?
 
Bystander said:
What makes you "think" this is D?
Well I thought getting a straight line would be the correct way of getting torque.
 
A straight line pointed what direction?
 
Bystander said:
A straight line pointed what direction?
Horizontal to the ground
 
Good. And how do you get that from a 2.5 m branch which is 60 degrees to a vertical tree trunk that is perpendicular to the ground?
 
Bystander said:
Good. And how do you get that from a 2.5 m branch which is 60 degrees to a vertical tree trunk that is perpendicular to the ground?
Cmon mate, throw me a bone here buddy. I just figured it made sense through a picture I drew.
 
How far is the horizontal distance from the end of the branch to the trunk of the tree? The branch is the hypotenuse of a rt. triangle, and you've been given two of the angles.
 
We can't see your picture but are you sure it's 2.5*sin(30)?

Sin = opposite/hypotenuse
so
Hypotenuse*sin = opposite
 

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