Two masses tied together on frictionless ramp

AI Thread Summary
The discussion revolves around calculating the tension in the ropes connecting two masses on a frictionless ramp inclined at 29°. The user attempts to analyze the forces acting on the masses using a force diagram and applies the equation F=ma to determine the acceleration. They express difficulty in identifying the forces acting on the lower mass (M2) and their components along the x and y axes. The conversation highlights the need for clarity in resolving forces to find the required tensions. Properly analyzing the forces is essential for solving the problem effectively.
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Homework Statement



Two boxes with different masses M1 = 1.3 kg and M2 = 2.2 kg are tied together on a frictionless ramp surface which makes an angle = 29° with the horizontal (see the figure below). (the figure is essentially two boxes tied together by a rope and then another rope tying the right box to the ramp. the left box(the bottom one) is M2 and the top box is M1.

What is the tension in the rope connecting the two boxes?
______ N
What is the tension in the rope connecting the first box to the ramp?
______ N




Homework Equations



F=ma

The Attempt at a Solution



I have tried to do the force diagram where the left is -y and the right is +x. Once I have drawn the force diagram then I put in gravity as the acceleration downward. Then I do 9.8/cos61 to find the acceleration downward at the specific angle. Then I put it into the f=ma equation to find the force downward at the angle for each box. Then I get stuck...
 
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Choose the x-axis as parallel to the plane... and y-axis as perpendicular to the plane.

What are the forces acting on M2? what are the components of these forces along the x-axis and y-axis?
 

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