with this tension problem -- Mass on an accelerating cable

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Homework Help Overview

The discussion revolves around a tension problem involving a mass being raised by a cable with decreasing speed. The mass is specified as 35 kg, with an upward velocity of 1.6 m/s and a downward acceleration of 1.2 m/s². Participants are exploring how to calculate the tension in the cable using the provided values.

Discussion Character

  • Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • The original poster expresses confusion about how to incorporate velocity into the tension equation. Some participants clarify that velocity does not directly affect the tension calculation. Others attempt to apply the tension formula, breaking down the components of gravitational force and acceleration.

Discussion Status

Participants are actively discussing the tension calculation, with some providing guidance on the formula to use. There is an ongoing exploration of the values involved, and while one participant expresses uncertainty, another confirms the calculations appear correct.

Contextual Notes

The original poster mentions a lack of instruction from their professor and difficulty finding resources, indicating a potential gap in understanding the topic. The discussion reflects varying levels of confidence among participants regarding the application of the tension equation.

Jett Johnson
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Homework Statement


A 35 kg mass is being raised by a cable with decreasing speed. At the instant the upward velocity has a magnitude of 1.6 m/s and the downward acceleration has magnitude of 1.2 m/s2, what is the tension of the cable?

m=35 kg
v=1.6 m/s
a= -1.2 m/s2
g= 9.81 m/s2

Homework Equations


T=mg+ma

The Attempt at a Solution


My professor may be the worst on the planet and hasn't taught us this, I also cannot find any help in the book or online. I do not know how to input velocity into the tension equation. Please Help Thanks...
 
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Jett Johnson said:
I do not know how to input velocity into the tension equation.
You don't have to. Velocity doesn't affect the tension -- that's why it doesn't appear in the tension equation.
 
So mg= 35 x 9.81 ; ma= 35 x 1.2
T=mg+ma
T= 343.35-42=
301.35 N ?
 
Jett Johnson said:
So mg= 35 x 9.81 ; ma= 35 x 1.2
T=mg+ma
T= 343.35-42=
301.35 N ?
Looks good to me! (You can round off your answer to fewer digits.)
 

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