Solving the Guillotine Problem: Theory & Examples

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Homework Help Overview

The discussion revolves around a physics problem known as the Guillotine Problem, which involves concepts of rotational dynamics and forces acting on masses. Participants are exploring the application of Newton's laws, torque, and energy conservation in this context.

Discussion Character

  • Mixed

Approaches and Questions Raised

  • Participants are attempting to apply equations of motion and energy conservation to analyze the system. There are questions about the correctness of initial assumptions and calculations regarding acceleration and forces. Some participants seek clarification on the application of torque and tension in the system.

Discussion Status

The discussion is active, with participants providing various approaches to the problem. Some have offered calculations and equations, while others express uncertainty and seek further explanation. There is no explicit consensus yet, but guidance on using tension and torque equations has been introduced.

Contextual Notes

Participants are working under the constraints of a homework assignment, which may limit the information they can share or the methods they can use. There are indications of differing interpretations of the problem setup and the relationships between the variables involved.

Sheldinoh
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1. The problem statement
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Homework Equations



I=.5MR^2

The Attempt at a Solution



mgh + .5mv^2 + Iw^2 = mgh + .5mv^2 + Iw^2

v=rw

I don't know if this is right or not.
 
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First of all using Newton's law and torque find the acceleration of the masses.
 
can you explain that a little more. I'm sorry
 
It would be 6m/s2 right?
 
Sheldinoh said:
It would be 6m/s2 right?
Show your calculations.
 
(M1+M2)a = M1(9.8) + M2(-9.8)

(20+5)a = 20(9.8) - 5(9.8)

a = 6
 
No. It is not correct.
Let T1 be the tension in the right segment of the string and T2 that of the left segment.
Then T1 - m1*g = m1a----(1)
R*(T2 - T1) = I*α-----(2)
m2*g - T2 = m2*a.----(3)
Substitute the values of I and α, and solve the equations to find a.
 
Thank you so much. You are a life saver.
 

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