Force in a dynamics of rotation problem?

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Homework Help Overview

The problem involves a dynamics of rotation scenario where a bucket of water is suspended by a rope around a windlass, which is a solid cylinder. The question specifically asks for the force exerted on the cylinder by the axle while the bucket is falling.

Discussion Character

  • Conceptual clarification, Assumption checking

Approaches and Questions Raised

  • The original poster attempts to understand the forces acting on the cylinder and questions whether the force being asked is the normal force. Some participants discuss the forces involved, including the weight of the cylinder and the tension from the bucket.

Discussion Status

Some participants have expressed confusion regarding the wording of the question but are beginning to clarify their understanding of the forces acting on the cylinder. There is an acknowledgment of multiple forces at play, and guidance has been offered regarding how to approach the total force calculation.

Contextual Notes

Participants are navigating the complexities of the problem's wording and the relationships between the forces involved. There is a reference to a tension value provided in an earlier part of the question, which may influence the discussion.

erik-the-red
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Question

A bucket of water of mass 15.0 kg is suspended by a rope wrapped around a windlass, that is a solid cylinder with diameter 0.290 m with mass 12.4 kg. The cylinder pivots on a frictionless axle through its center. The bucket is released from rest at the top of a well and falls a distance 11.0 m to the water. You can ignore the weight of the rope.

The fourth and final part of the question is "While the bucket is falling, what is the force exerted on the cylinder by the axle?"

Quite frankly, I don't really understand this question. When I drew the free body diagram, I'm inclined to say the answer is (12.4)(9.80).

Is this asking for the normal force?
 
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Never mind, I got it.

I forgot that it's just (12.4)(9.80) + T, where T is 43.0 and was asked for in the first part of the question.
 
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Last edited:
I had trouble with the question intially also, because of the wording, but it makes sense: there are two forces that act on the cylinder while the bucket is falling, its own weight, and the Tension of the bucket.

By adding these, you get the total force that's acting on the cylinder.

-L.
 

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