(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

A 20-kg block with a pulley attached slides along a frictionless ledge. It is connected by a massless string through another pulley to a 5.0-kg block which hangs off the ledge. Find (a) the acceleration of each block, and (b) the tension in the connecting string.

2. Relevant equations

F_{NET}=ma

3. The attempt at a solution

I set up both free body diagrams with the x axes aligned with the direction of acceleration for each block. I then solved F_{NET X}=ma_{x}for each block, and acquired the tension (39.2 N) and acceleration (1.96 m/s^{2}). My answer worked algebraically, but according to the answer in my book I made the misassumption that the two blocks had equal magnitudes of acceleration.

I attempted to solve the problem without assuming equal accelerations, and I ended up with two equations and three variables (T, a_{x1}, and a_{x2}) which I couldn't solve. According to my book, the answer for part (a) is 5.0 cm (?), and part (b) is a_{20}=2.5m/s^{2}, while a_{5}=T=25N. I have had no luck at replicating or making any sense of these answers whatsoever. Thanks in advance for the help!

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# Homework Help: Block Attached to Pulley Question

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