Solve the Maximum Height of Body 1 Puzzle!

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Homework Help Overview

The problem involves a system with two bodies connected by a rope over a pulley, where one body is released and the other is expected to reach a maximum height. The context suggests dynamics and kinematics as relevant subject areas.

Discussion Character

  • Exploratory, Conceptual clarification, Assumption checking

Approaches and Questions Raised

  • Participants discuss the implications of the rope's behavior, questioning whether it can shrink or grow, and how this affects the dynamics of the system. There is mention of using time to determine speed and considering inertia after the rope goes slack.

Discussion Status

The discussion is ongoing, with participants exploring different interpretations of the problem and questioning the relevance of dynamics. Some guidance has been offered regarding the use of speed and energy conservation, but no consensus has been reached.

Contextual Notes

Participants note uncertainties regarding the behavior of the rope and the assumptions about the system's dynamics, which may affect the analysis of the problem.

badbit
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http://img9.imagepile.net/img9/30498problem.gif

After hours of thinking I can't solve this problem:
The system of the figure is motionless.Then body 2 is released, arriving to the ground in 2 seconds.
The pulley and the rope have no weight, and there is no friction.
Find the maximum height that is going to be reached by the base of the body 1.
 
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Hi, welcome to PF badbit.

Can the rope shrink or grow? Otherwise, why wouldn't it be 4 meters?
(I'm probably missing something here, what does this have to do with dynamics?)
 
Question is fine, "CompuChip". You need to take a coffee-break. [No pun intended.]
I don't know if the rope can grow, but obviously it can shrink.. or better use, get loose/slack!

But yes, I too have doubts, if this question has got really something to do with dynamics!

Use, 2 sec to find the speed of the bodies when body 2 arrives to the ground. (Note both bodies will have same speed till this moment.) After this the rope goes slack, as body 1 continues to move upwards due to inertia. Now, either apply conservation of energy or same kinematics equations, to obtain the furthr height attained by body1.
 
Ah, now I see it. I just needed some sleep I guess :smile:
 

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