Two Inverted Pendulums connected by a rope

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Homework Help Overview

The discussion revolves around a problem involving two inverted pendulums connected by a rope, with participants exploring the dynamics of the system under various assumptions. The subject area includes mechanics and dynamics, particularly focusing on forces and accelerations in a non-standard configuration.

Discussion Character

  • Exploratory, Assumption checking, Problem interpretation

Approaches and Questions Raised

  • Participants discuss the implications of the connection type (rope vs. rod) on the problem's complexity. There are considerations regarding the system's acceleration and the need to analyze forces at different positions. Questions about the clarity of the setup and the conditions under which the problem is being analyzed are also raised.

Discussion Status

The discussion is ongoing, with participants offering various interpretations of the problem setup and questioning assumptions. Some guidance has been provided regarding the steps to analyze the system, but there is no explicit consensus on the approach or the nature of the problem.

Contextual Notes

There are indications that the original problem statement may not be fully clear, and participants are seeking clarification on the conditions of the system, such as whether it is in steady state or if external forces are acting on it.

Deegee
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Homework Statement
Given: two inverted pendulums with stiffnesses K1 and K2 and masses M1 and M2 are connected
by a rope (as shown in the PDF)

Find: maximum tension force, T
Relevant Equations
T=(F/(K1+K2)*(K1-K2)
Hi everyone.

Please see the problem with my solution attached and let me know if you have other solutions

Thank you very much in advance.
 

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oh sorry my solution is wrong. It is correct if they're connected by a rod not a rope
 
I assume the whole system is accelerating, so the masses are significant.
 
if it's a rope then we need to find the accelerations at different positions. Then multiply maximum accelerations by masses and find the summation of forces
 
I think it's an advanced problem far from introductory physics level
 
Deegee said:
I think it's an advanced problem far from introductory physics level
It depends.. please post the original statement of the problem, word for word. (Or is it not in English?)
 
I created the problem. What does English have to do with this?
 
are you implying that my English is bad?
 
it was dictated to me in my dream by an old Japanese guy
 
  • #10
very smart scientist who can only speak Japanese
 
  • #11
Deegee said:
I created the problem. What does English have to do with this?
As I implied in post #3, the set up is not entirely clear.
Are we to take
  • the base as sliding on a smooth surface,
  • F as a constant unopposed force,
  • the system to be in steady state?
If so, the first step I would take is to find the acceleration of the system, the second to create a variable for the displacement of the masses relative to the base, and the third to write the force balance equations on the masses.
 
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