What Is the Acceleration of a Block on a Frictionless Table?

AI Thread Summary
The problem involves a 10.4 kg block on a frictionless table connected to another identical block hanging freely via a string over a pulley. The weight of each block is calculated to be 101.92 N. To determine the acceleration of the block on the table, free body diagrams for both blocks should be drawn to identify the forces acting on them. Applying Newton's laws leads to two equations that can be solved for tension and acceleration. The acceleration of the block on the table is ultimately derived from these equations.
joelgrind
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Homework Statement


A 10.4 kg block sits on a frictionless horizontal table. The block is attached to a horizontal ideal string that goes over an ideal pulley and is connected to another identical 10.4 kg block that hangs freely. What is the acceleration of the block on the table? State the acceleration as a positive quantity.


Homework Equations


\sumF = ma



The Attempt at a Solution


The weight of each block is 101.92 N. I'm not sure if assuming the horizontal table is 90 degrees to the ground is of any significance.
 
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The horizontal table is parallel to the ground. One block moves along the table, and the other hangs freely and falls vertically. Draw free body diagrams of each block, identify the forces acting in each block, then apply Newton's laws to each. Solve the 2 resulting equations for T and a.
 

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