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21.2: Inclined Block and Vertical Block
https://phys.libretexts.org/Courses/Prince_Georges_Community_College/General_Physics_I%3A_Classical_Mechanics/21%3A__Blocks_and_Pulleys/21.02%3A_Inclined_Block_and_Vertical_Block
The forces on mass $m_{1}$ are the upward tension $T$ as before, plus a downward acceleration $m_{1} g \sin \theta$ down the inclined plane. In this case, mass $m_{1}$ will experience an upslo...The forces on mass $m_{1}$ are the upward tension $T$ as before, plus a downward acceleration $m_{1} g \sin \theta$ down the inclined plane. In this case, mass $m_{1}$ will experience an upslope force equal to the tension $T$ and a downslope force $m_{1} g \sin \theta$ . $\Sigma_{i} F_{i}=m_{1} a \quad \Rightarrow \quad T-m_{1} g \sin \theta-\mu m_{1} g \cos \theta=m_{1} a$ $a=\frac{m_{2}-m_{1}(\mu \cos \theta+\sin \theta)}{m_{1}+m_{2}} g$

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