(Solved): Two blocks are connected as shown below. The incline surface has a kinetic coefficient of friction ...

Two blocks are connected as shown below. The incline surface has a kinetic coefficient of friction of $$0.30$$ and it makes an angle of 35 degrees with the horizontal. The block in the incline, $${\mathrm{m}}_1$$ is moving down the ramp. The mass of the hanging block, $${\mathrm{m}}_2$$ is $$2\mathrm{kg}$$ and is moving upwards. Find the value $$m_1$$ that will give the system an acceleration of $$1.5$$ $$\mathrm{m}/{\sec }^2$$ down the plane. You must show your coordinate system, free body diagram for all blocks and the entire equations along the axis. Plug the values in the equations. Incomplete work will not receive credit even if the answer is correct. Do not take short cuts (10 points).