Two Inverted Pendulums connected by a rope

[Deegee]

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.

 

[Deegee]

oh sorry my solution is wrong. It is correct if they're connected by a rod not a rope

 

[haruspex]

I assume the whole system is accelerating, so the masses are significant.

 

[Deegee]

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

 

[Deegee]

I think it's an advanced problem far from introductory physics level

 

[haruspex]

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?)

 

[Deegee]

I created the problem. What does English have to do with this?

 

[Deegee]

are you implying that my English is bad?

 

[Deegee]

it was dictated to me in my dream by an old Japanese guy

 

[Deegee]

very smart scientist who can only speak Japanese

 

[haruspex]

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.