Solving a Rotation Mechanics Problem: Option D vs Attempted Solution

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Homework Help Overview

The discussion revolves around a rotation mechanics problem involving forces acting on a rod, specifically focusing on the tension at a point along the rod and the effects of mass distribution relative to the axis of rotation.

Discussion Character

  • Exploratory, Assumption checking, Conceptual clarification

Approaches and Questions Raised

  • Participants explore the forces at a specific point on the rod and question how different parts of the rod contribute to the tension. There are inquiries about the effects of mass distribution and the implications of considering the rod as massless.

Discussion Status

Participants are actively engaging with the problem, raising questions about the contributions of various parts of the rod to the tension at point x. Some guidance has been offered regarding the conceptual understanding of forces, but there is no explicit consensus on the solution yet.

Contextual Notes

There are indications of confusion regarding the problem setup and the assumptions being made, particularly about the mass of the rod and the distribution of forces. The original poster references a book answer that may not align with their understanding, suggesting a potential gap in information or interpretation.

thunderhadron
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Hi friends,
Feeling pleasure to share some more aspects with you.
I am getting a doubts in some of the problems.
Thank you all in advance.

The problem is:


Attempt,



But the book says the answer is option (D).
Please friend help to get rid off.
Awaiting for reply.
 
Last edited by a moderator:
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What is the total force felt by the rod at x? Why?
 
voko said:
What is the total force felt by the rod at x? Why?

Sorry voko I don't get it. Please help me in solving.

I am getting the equation for the right side of 'x'.
 
At point x in the rod, there is some force of tension. You computed the force of inertia due to dx just next to x. But what about other parts of the rod? Which parts of the rod contribute to the tension at x: the parts further away from the axis of rotation, or closer to it?
 
voko said:
At point x in the rod, there is some force of tension. You computed the force of inertia due to dx just next to x. But what about other parts of the rod? Which parts of the rod contribute to the tension at x: the parts further away from the axis of rotation, or closer to it?

 
Last edited by a moderator:
Imagine that the rod itself is massless. Now let there be some point mass attached to the rod that is closer to the axis of rotation than x. Will there be any tension at x? Then let there be a point mass further from the point of rotation than x. Will there be any tension at x?
 
voko said:
Imagine that the rod itself is massless. Now let there be some point mass attached to the rod that is closer to the axis of rotation than x. Will there be any tension at x? Then let there be a point mass further from the point of rotation than x. Will there be any tension at x?

Yes outer mass of the rod i.e. the right side part will apply tension on it.

OK let me try it first.
 
Thank you very much friends. I got the answer. Problem has been cleared.
 

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