Calculating Tension in Vines: A 5.0kg Monkey at Rest on Vines A and B

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Homework Help Overview

The problem involves a 5.0-kilogram monkey hanging at rest from two vines, A and B, which are positioned at specific angles. The context is centered around calculating the tension in the vines while considering the forces acting on the monkey.

Discussion Character

  • Exploratory, Mathematical reasoning, Assumption checking

Approaches and Questions Raised

  • Participants discuss using the angles to find horizontal and vertical force components, leading to the establishment of equations based on the sum of forces being zero. There is mention of isolating tensions and substituting values, indicating attempts to manipulate the equations.

Discussion Status

The discussion is active with participants exploring different interpretations of the equations needed to solve for the tensions. Some guidance has been offered regarding the setup of equations, but there is no explicit consensus on the next steps or methods to proceed.

Contextual Notes

Participants are navigating the constraints of the problem, including the angles of the vines and the requirement for the monkey to be at rest, which implies a balance of forces. There is also a sense of confusion regarding the correct interpretation of the equations related to the forces.

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Okay, I got an assignment from my teacher that I'm having trouble starting.

A 5.0-kilogram monkey hangs initially at rest from two vines, A and B. Each of the vines has a length of 10 meters and negligible mass. Vine A is 30 degrees above the horizon in quadrant II, and Vine B is 60 degrees above the horizon in quadrant 1.

I know that the two tensions keep the monkey at rest, so the sum of the forces = 0. But how do I calculate the tension in the vines?
 
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Since you have the angles, you can find the horizontal and vertical force components. Each must add to zero, giving you two equations and two unknowns (the two tensions).
 
This is essentially the same type of question i asked. You have to isolate tension one from T2 and substitute. I am lost from then on lol
 
when you say each, do you mean the two horizontal equal zero, and the two vertical equal zero? or each by themselves?
 
I meant that you'll get two equations:
(1) The sum of the horizontal force components = 0
(2) The sum of the vertical force components = 0
 

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