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Originally Posted by Rachel Lim
Assumptions / notes for part 1:
- The only thing that matters is the gravity component parallel to the ramp, and the tension force parallel to the ramp.
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This is the first necessary insight.
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- The cart moves as a single body along the ramp (it doesn't matter which part of the ramp the rope is attached to)
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I think you meant the rail, the cable, and the bucket?
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- The 0.5 m/s is irrelevant, what does matter is that it's moving at a constant velocity (i.e. acceleration = net force = 0)
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Correct. This is the second necessary insight.
The 0.5 m/s was indeed a red herring. Part of solving physics problems is eliminating irrelevant information.
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Part 1:
F_gravity = F_tension
m*g*sin(20deg) = T cos(12deg)
T = 5448 N
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Correct!