Solving the Tension in Two Hanging Paint Buckets

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Homework Help Overview

The problem involves two paint buckets, each with a mass of 3.90 kg, hanging from one another by massless cords. The original poster seeks to determine the tension in both the lower and upper cords while the buckets are at rest.

Discussion Character

  • Exploratory, Assumption checking

Approaches and Questions Raised

  • The original poster attempts to calculate the tension in the lower cord using the weight of the bucket but expresses uncertainty about the result. Other participants discuss the relationship between weight and tension, and one suggests a formula for the upper cord's tension based on the lower cord's tension.

Discussion Status

Participants are exploring different aspects of the problem, with some providing insights into the definitions of weight and tension. There is an ongoing examination of how to correctly apply the equations related to the forces acting on the buckets.

Contextual Notes

There appears to be confusion regarding the calculations for the tensions, particularly in distinguishing between the forces acting on the lower and upper cords. The original poster has not yet provided a complete solution for the upper tension.

lim
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Homework Statement



One 3.90 kg paint bucket is hanging by a massless cord from another 3.90 kg paint bucket, also hanging by a massless cord, as shown in figure below. If the buckets are at rest, what is the tension in the lower cord? What is the tension in the upper cord?


Homework Equations


Tlower = ma + W
F=ma

The Attempt at a Solution



T = (3.9)(0) + 9.8

T= 9.8 N

?
I wasn't getting the lower tension right, so I figured I should find out how to do that first, hence no work for the upper tension.
Any help appreciated
 
Last edited:
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The weight of an object is given by the product of its mass and the acceleration due to gravity.
 
Ohh. So, the tension of the upper cord is Tu = ma + W + Tl, so Tu = 0 + 38.2 + 38.2N, Tu = 76.44 N.
Thanks!
 
Just remember that weight is the force on an object due to gravity. It can sometimes get confusing because it has its own name but its just given by F=ma where a is the acceleration due to gravity.
 

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