Analyzing Motion of Mechanical System with Initial Conditions

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Homework Help Overview

The discussion revolves around analyzing the motion of a mechanical system defined by specific initial conditions for two variables, y1 and y2, which represent the positions of springs in a system. The problem is situated within the context of mechanics, particularly focusing on the dynamics of ideal springs and point masses.

Discussion Character

  • Exploratory, Assumption checking

Approaches and Questions Raised

  • The original poster seeks assistance in deriving equations for y1(t) and y2(t) based on given initial conditions. Some participants question the lack of shared prior work or equations, suggesting that this might hinder the discussion.

Discussion Status

The discussion appears to be in an early stage, with participants expressing a need for more information or context regarding the original poster's approach. There is an indication that further clarification or elaboration on the problem setup may be necessary for productive engagement.

Contextual Notes

Participants note that the problem involves ideal springs and point masses, with specific constraints such as the non-collision of masses and the exclusion of gravitational effects in calculations. The original poster has provided initial conditions that are critical to the problem but has not yet shared any calculations or equations attempted.

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Determine the motion of this mechanical system-
*Pic attached*

satisfying the initial conditions :-
y1(0) = 1
y2(0) = 2
y1'(0) = -2*sqrt(6)
y2'(0) = sqrt(6)

I need to find equations for y1(t) and y2(t). Please help :D

PS ideal springs, point masses cannot collide, y1 and y2 are the distances of the bottom end of the springs from the top, so that the length of the second spring is y2-y1. As for gravitational effects, gravity pulls on the weights to start the springs moving, but you don't need to deal with gravity in your calculations.
 

Attachments

  • Spring.png
    Spring.png
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Last edited:
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Can anyone help?
 
Can anyone help?
 
No one helps maybe because you did not show us your work so far, equations you know etc.
 

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