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

AI Thread Summary
When a man jumps vertically from the circumference of a rolling cylinder, the cylinder's velocity is affected due to the conservation of momentum. As the man detaches, the moment of inertia of the system changes, which can lead to a change in the cylinder's velocity. The discussion emphasizes the need to visualize the scenario correctly, considering the forces acting on the cylinder during the jump. A free body diagram is suggested to clarify the dynamics involved. Ultimately, understanding the physics principles at play is crucial for explaining the outcome of the man's jump on the cylinder's motion.
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?

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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
 
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