Acceleration of block/pulley system

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The discussion focuses on determining the acceleration of a 2.0 kg block in a pulley system involving a 1.0 kg block. The key point is that the tension in the string is equal for both blocks, but their accelerations differ due to the pulley configuration. Specifically, the block on the table (B) will move half the distance, speed, and acceleration of the hanging block (A). Understanding this acceleration constraint is crucial for solving the problem. The clarification provided helps solidify the relationship between the blocks' movements in the system.
genevieveb
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Homework Statement


What is the acceleration of the 2.0 block in the figure across the frictionless table?
Hint: Think carefully about the acceleration constraint.
I've attached the diagram.

Homework Equations


F=ma


The Attempt at a Solution


A=1.0kg block
B=2.0kg block
For block A: mAa1=2T
0=-Fg+n
For block B: mBa2=T-Fg
and no forces in x direction

So I assume the tension is equal because it is the same string. I also assume that the accelerations are different for the blocks though I'm not completely sure what to assume/why. All I really need is an explanation as to what I should know about the acceleration and why that is.
 

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genevieveb said:

Homework Statement


What is the acceleration of the 2.0 block in the figure across the frictionless table?
Hint: Think carefully about the acceleration constraint.
I've attached the diagram.

Homework Equations


F=ma


The Attempt at a Solution


A=1.0kg block
B=2.0kg block
For block A: mAa1=2T
0=-Fg+n
For block B: mBa2=T-Fg
and no forces in x direction

So I assume the tension is equal because it is the same string. I also assume that the accelerations are different for the blocks though I'm not completely sure what to assume/why. All I really need is an explanation as to what I should know about the acceleration and why that is.

That pulley system means that B will move half as much as A. half the distance, half the speed, half the acceleration.
 
Oh okay, that makes sense. Thanks a lot!
 

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