Accelerations of Two Blocks Connected by a String

AI Thread Summary
Two blocks of equal mass are connected by an ideal string and subjected to forces from two springs with different spring constants, k1 and k2. When the left block is pulled down a distance x and released, the acceleration of each block can be determined using Newton's second law, F = ma, and the spring force equation, F = -Kx. The discussion emphasizes the importance of identifying all forces acting on each mass and combining the equations to solve for acceleration. The user expresses uncertainty about their approach and seeks clarification on the correct method. A suggestion is made to include a diagram for better understanding of the forces involved.
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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