Accelerations of Two Blocks Connected by a String

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Homework Help Overview

The discussion revolves around the dynamics of two blocks of equal mass connected by an ideal string, influenced by two springs with different spring constants. The original poster describes a scenario where one block is pulled down and released, prompting a question about the resulting accelerations of both blocks.

Discussion Character

  • Exploratory, Conceptual clarification, Problem interpretation

Approaches and Questions Raised

  • The original poster attempts to apply Newton's second law and spring force equations to determine the accelerations. Some participants question the clarity of the problem statement and the specifics of the setup, while others suggest identifying all forces acting on the masses and writing separate equations for each.

Discussion Status

The discussion is ongoing, with participants exploring different interpretations of the problem. Some guidance has been offered regarding the identification of forces and the application of Newton's laws, but no consensus has been reached on the approach or solution.

Contextual Notes

There is a noted lack of clarity in the original problem statement, particularly regarding the roles of the springs and the connection between the blocks. The original poster also mentions being in a hurry, which may have affected the completeness of the information provided.

lektor
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two blocks of equal mass are connected by an ideal string.
the values of m, k1 and k2 are given (k1 > k2 ). Initially, both springs are relaxed. Then the left block is slowly pulled down a distance x and released.
Find the acceleration of each block.


sorry about no latex in a hurry :)

F = ma
F = -Kx

ma = -kx

a = -kx/m

Since extension is occurring on the left hand side x is positive.
Since compression takes place on the right hand side x is negitive.

a = -k(+or-x)/m


I was in a bit of a hurry but I've tested with some values and it seems ok, but i'd love some help if this is wrong.
 
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Springs or strings or both or none?

I'm sorry, you haven't been able to pose your problem clearly here.
Try again..
 
let me get the diagram it is rather tricky
 

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I suggest you start by indentifying all the forces acting on each mass, then write Newton's 2nd law for each separately. Combine those two equations and solve for the acceleration. (Don't forget that they are attached by a string.)
 

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