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## Homework Statement

Figure 5-12 shows a block S (the sliding block) with mass

M 3.3 kg. The block is free to move along a horizontal

frictionless surface and connected, by a cord that wraps over

a frictionless pulley, to a second block H (the hanging

block), with mass m 2.1 kg. The cord and pulley have neg-

ligible masses compared to the blocks (they are “massless”).

The hanging block H falls as the sliding block S accelerates

to the right. Find (a) the acceleration of block S, (b) the ac-

celeration of block H, and (c) the tension in the cord.

## Homework Equations

Block S:

Tx=ma (on the X axis)

Block H:

T-mg=-ma (y axis)

## The Attempt at a Solution

I understand the theory and question, my problem lies with my math skills. Because of the two unknown variables you can solve them simultaneously, however the sample problem assumes I remember how to do it!

I want to understand how you can mathematically go from the two equations on top to a=(m/M+m)g on the y axis.

Thank you for the help!