Does a man jumping off a rolling cylinder affect its velocity?

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Homework Help Overview

The discussion revolves around a scenario involving a rolling cylinder and a man attached to its circumference who jumps vertically. Participants are exploring how this action affects the cylinder's velocity, considering concepts such as moment of inertia and energy conservation without delving into technical jargon.

Discussion Character

  • Exploratory, Conceptual clarification, Assumption checking

Approaches and Questions Raised

  • Some participants attempt to relate the moment of inertia and energy conservation to the question, while others question the relevance of these concepts to the specific moment of detachment. There is also a focus on visualizing the scenario, with participants discussing the physical setup of the cylinder and the man's position.

Discussion Status

The discussion is ongoing, with participants providing insights and questioning assumptions. Some guidance has been offered regarding considering forces and drawing diagrams, but there is no explicit consensus on the explanation or the correct interpretation of the problem.

Contextual Notes

Participants are grappling with visualizing the scenario, particularly the man's ability to jump from the bottom of the cylinder and the implications of this action on the cylinder's motion. There is an acknowledgment of the need to explain concepts in simpler terms, which may indicate constraints in the participants' understanding of the underlying physics.

Brilli
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Homework Statement

Given a cylinder is rolling purely and a man with mass m is attatched to a point in the circumference of the cylinder. As the man approaches the lowest point he jumps vertically up. Will the velocity of the cylinder increase, decrease or remain same after the man is detached and is in motion as stated above?

Homework Equations

The Attempt at a Solution


As the moment of inertia decreases over time wrt centre of mass of cylinder until man reaches highest position the cylinders velocity changes to conserve energy.

My problem is to explain it in normal terms and not any conservation of anything point of view. Also i am ot sure if my explanation is correct.
 
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Brilli said:
As the moment of inertia decreases over time wrt centre of mass of cylinder until man reaches highest position the cylinders velocity changes to conserve energy.
I don't understand how this relates to the question. Are you referring to the man's rising to highest position while still attached to the cylinder or after jumping up? Either way, it does not seem relevant. The question is only concerned with a brief period around the detachment (jumping up).
 
Brilli said:

Homework Statement

Given a cylinder is rolling purely and a man with mass m is attatched to a point in the circumference of the cylinder. As the man approaches the lowest point he jumps vertically up. Will the velocity of the cylinder increase, decrease or remain same after the man is detached and is in motion as stated above?

I can't visualise this at all. How do you jump upwards from the bottom of a cylinder? The cylinder is in the way, surely?
 
PeroK said:
I can't visualise this at all. How do you jump upwards from the bottom of a cylinder? The cylinder is in the way, surely?
I guess it's a hollow cylinder with the man on the inside surface.
upload_2018-3-24_19-6-56.png
 

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Brilli said:
My problem is to explain it in normal terms and not any conservation of anything point of view.
Consider all the forces acting on the cylinder during the jump. Draw a free body diagram of the cylinder at this time.

Also i am ot sure if my explanation is correct.
I don't believe it's correct.
 
TSny said:
I guess it's a hollow cylinder with the man on the inside surface.
View attachment 222687
Thank you for your reply. Yes this is the exact figure of the process
 
Last edited:

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