A bucket of mass 1.60 kg is whirled in a vertical circle of radius 1.00 m.

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Homework Help Overview

The problem involves a bucket of mass 1.60 kg being whirled in a vertical circle with a radius of 1.00 m. The tension in the rope at the lowest point is given as 25.0 N, and the discussion revolves around finding the speed of the bucket at both the lowest point and the top of the circle to prevent the rope from going slack.

Discussion Character

  • Exploratory, Assumption checking, Problem interpretation

Approaches and Questions Raised

  • Participants discuss the relationship between tension and speed at different points in the circular motion. Questions arise about the conditions under which the rope goes slack and the implications for tension at that point.

Discussion Status

Some participants have provided insights into applying Newton's second law to analyze the forces acting on the bucket. There is an ongoing exploration of how to set up the equations for both the lowest and highest points of the circular motion, with some participants expressing confusion about deriving speed from the given information.

Contextual Notes

Participants are navigating the problem with varying degrees of understanding, particularly regarding the implications of tension changes and the application of relevant physics principles. There is a mention of needing to consider different forces at the top versus the bottom of the circle.

fineztpaki
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Homework Statement


A bucket of mass 1.60 kg is whirled in a vertical circle of radius 1.00 m. At the lowest point of its motion the tension in the rope supporting the bucket is 25.0 N.
(a) Find the speed of the bucket.
(b) How fast must the bucket move at the top of the circle so that the rope does not go slack?

The Attempt at a Solution


I figured out A, the speed of the bucket to be 2.42 m/s but i don't understand how to find B.. can someone help please?
 
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When the rope just goes slack what happens to its tension?
 
the tension decreases?
 
fineztpaki said:
the tension decreases?
To what value?
 
less than 25?
 
Is there any formula i would be able to use to solve this?
 
If there's any tension in the rope, it's not slack. The only formula you need is Newton's 2nd law.
 
How do I get speed, or velocity (m/s) from that?
The answer is supposed to be in m/s ... I'm still confused
 
You solve part (b) the same basic way you solved part (a). What forces act on the bucket? Apply Newton's 2nd law. The differences: The bucket is at the top instead of the bottom. (What does that change?) And the tension is different. (What must it be just as the rope goes slack?)

Once you set up your equation you solve for v just like you did in part (a).
 
  • #10
3.13
 
  • #11
alright got it! thanks!
 
  • #12
fineztpaki said:
3.13
Yep. In m/s.
 

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