Bucket being lowered vertically by a rope

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Homework Help Overview

The discussion revolves around a physics problem involving a 12.0 kg bucket being lowered vertically by a rope with a tension of 163 N. Participants are exploring the acceleration of the bucket and its direction.

Discussion Character

  • Conceptual clarification, Assumption checking, Problem interpretation

Approaches and Questions Raised

  • Participants are attempting to determine the acceleration of the bucket and its direction based on the tension and weight. Questions arise about the implications of tension being upward or downward, and whether the bucket's motion affects its acceleration.

Discussion Status

The discussion is active, with participants questioning the assumptions regarding the bucket's motion and the relationship between tension and acceleration. Some have offered insights into the implications of constant speed versus acceleration, while others are clarifying the definitions of upward and downward forces.

Contextual Notes

There is a lack of clarity regarding whether the bucket is being lowered at a constant speed or accelerating, which affects the interpretation of the forces involved. The original poster's confusion about the direction of acceleration and the implications of the problem statement is noted.

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Homework Statement



A 12.0kg bucket is lowered vertically by a rope in which there is 163N of tension at a given instant. What is the acceleration of the bucket? Is it up or down?

Homework Equations



Ft - mg = ma

The Attempt at a Solution



I solved for 'a' and got a = 3.78 m/s^2, but how do I figure out which direction?
 
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With respect to the bucket, can the force of tension be upward? Downward?
 
upward
 
What is upward in terms of signs? Positive or negative?
 
If the bucket is being lowered carefully would you say that it is accelerating upwards?
 
I would say that if its lowering at a constant speed then there is no acceleration.

Also, I would say that, if anything, since its moving downwards it would be decelerating. Which I guess is the same as accelerating upwards??
 
e-zero said:
I would say that if its lowering at a constant speed then there is no acceleration.

Also, I would say that, if anything, since its moving downwards it would be decelerating. Which I guess is the same as accelerating upwards??

Well you are right but there was no mentioning the fact that the bucket was being lowered at a constant speed. If that were the case then that means that mg = Ft which is not true in this case because it is not being lowered at a constant speed.

As for direction the answer to the question implies that the bucket is being pulled up and yet the question states that it is being lowered, so either I got confused or the question is misleading.
 
How could mg = Ft if it were lowered at a constant speed?? That would indicate that the bucket is at rest.
 
e-zero said:
How could mg = Ft if it were lowered at a constant speed?? That would indicate that the bucket is at rest.
No, it would just mean that the net force is zero and thus the acceleration, not the speed, is zero. The speed could be anything, as long as it remained constant.
 
  • #10
Damn, I missed again :/
 

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