Finding FE, Tension & Acceleration in a 3-Block Frictionless Ramp Setup

AI Thread Summary
The discussion focuses on a setup involving three blocks on a frictionless 45° ramp, with specific masses assigned to each block. The first scenario examines the force 'FE' needed to keep the blocks stationary, requiring calculations for tension in the ropes. When 'FE' is removed, the blocks slide down the ramp, prompting a need to determine their acceleration and the resulting tensions. An increase to '2FE' on the top block leads to further calculations for acceleration and tensions in the ropes. The key takeaway is that the tension in the ropes is directly related to the gravitational force acting on the masses they support.
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three blocks on a frictionless 45° ramp held together by massless ropes
top block's mass, m1=1.00 kg.
middle block's mass, m2=2.00 kg
bottom block's mass, m3=3.00 kg.
1. the force 'FE' is exerted on block one and is just enough to hold all the blocks in place
find FE and the tensions of the ropes
2. FE is no longer acting on the blocks so they slide down the ramp, find the acceleration of the blocks and the tensions in the ropes
3. 2FE is now acting on block one, find acceleration of blocks and tensions in the ropes


All I really need help with is the tension
 
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Basically it's the force coming from the rope

So for example, the top block is sitting still for part 1 and has what amounts to 5kg of mass hanging on that segment of rope. Figure out the force of gravity going down the incline caused by the 5kg, that force will be the tension in the rope, it's how much force the rope has to apply to hold them there

The tension in the other segment(connecting blocks 2 and 3), well that segment of rope is only supporting the 3 kg mass
 
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