How to calculate the ratio of weight?

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Homework Help Overview

The discussion revolves around calculating the ratio of weights for two bodies that are moving apart under the influence of a force, with frictional forces considered. The original poster indicates that the mass of the first body is less than that of the second (m1 < m2) and presents equations related to their motion.

Discussion Character

  • Exploratory, Assumption checking, Problem interpretation

Approaches and Questions Raised

  • Participants are exploring the relationship between the two bodies, questioning how their connection through linear actuators affects their motion and the calculation of mass ratios. There is a focus on understanding the implications of the forces acting on each body and how these relate to their respective masses.

Discussion Status

The discussion is ongoing, with participants seeking clarification on the setup and the relationships between the forces and masses involved. Some participants have suggested starting from fundamental principles, such as Newton's second law, to derive further insights.

Contextual Notes

There is a lack of clarity regarding the specific connection between the two bodies and how the trajectory and time factor into the mass ratio calculation. The original poster expresses uncertainty about the procedure for calculating the mass ratio given the constraints of the problem.

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Homework Statement


Two body move apart by force. Frictional forces are considering. How to calculate the ratio of weight?
m1<m2
Ft1=k*g*m1
Ft2=k*g*m2

Homework Equations


v1(t1)=[itex]\frac{F_{t1}-F}{m_{1}}[/itex]*t[itex]_{1}[/itex]
x1(t1)=[itex]\frac{F_{t1}-F}{m_{1}}[/itex]*[itex]\frac{t^{2}_{1}}{2}[/itex]

v2(t1)=[itex]\frac{F-F_{t2}}{m_{2}}[/itex]*t[itex]_{1}[/itex]
x2(t1)=[itex]\frac{F-F_{t2}}{m_{2}}[/itex]*[itex]\frac{t^{2}_{1}}{2}[/itex]

What is the procedure of calculation.
Thank you for your help.
 

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welcome to pf!

hi asteorit! welcome to pf! :smile:

sorry, but i don't understand the set-up :redface:

what is the connection between these two bodies?
 


tiny-tim said:
hi asteorit! welcome to pf! :smile:

sorry, but i don't understand the set-up :redface:

what is the connection between these two bodies?

Hi tiny-tim,

These two bodies are connected by linear actuators. Force F of the linear actuator, will act on both the bodies. We know that the bodies should move along the path L, L=x1(t1)+x2(t1). We know that m1<m2.
If I assume correctly, and the trajectory of bodies depends on the mass ratio. Or is also dependent on the time t1?
What is the ratio of the mass of bodies[itex]\frac{m_{2}}{m_{1}}[/itex]=?, if the sum of their orbits must be equal to L?
 
hi asteorit! :wink:

i see … so it's equal-and-opposite-reaction-forces, but without contact

ok, then start by writing out Ftotal = ma for each body …

what do you get? :smile:
 
tiny-tim said:
hi asteorit! :wink:

i see … so it's equal-and-opposite-reaction-forces, but without contact

ok, then start by writing out Ftotal = ma for each body …

what do you get? :smile:

I do not understand it, to me you ask? Some will not understand it?
Because I need to know what is the ratio of the masses.
 

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