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kaienx
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Homework Statement
I have 3 masses with 2 pulleys which is in static equilibrium.
M1 & M3= 50.8kg
M2 = 90kg
Gravity that I used = 10m/s²
Part 1
Prove that the system is in static equillibrium
Part 2
If I were to add another 10kg of mass to M3 is the force exerted from M3 the same force as the tension from the rope. Assuming the pulley and rope is massless?
And how do I find the displacement of all the masses (M1, M2, M3)?
Will the system be in an equilibrium or not?
If it's not, show how do you find the acceleration, velocity and displacement for all three masses.
Homework Equations
F = ma
The Attempt at a Solution
For part 1, from the equation I have drawn a FBD for M2 and have calculated the net forces of F(x) and F(y) for M2 which is:
Fx = 508 * cos (62.5) - 508 * cos (62.5) = 0;
Fy = (508 * sin (62.5) + 508 * sin (62.5)) - 900 = 0 (I round it off due to calculation approximation);
Am I doing the part 1 correctly? As I am assuming that the forces from M1 & M3) is acting on M2 so I took the forces from there and apply it on the FBD for M2.
For part 2, I can't really continue if I'm not sure whether part 1 is right (correct me if I'm wrong whether can I still continue on part 2). Even then, I'm trying to find the relationship between F = ma and the a, v, and s(displacement) cause I have been searching for the equation but I seem to be more lost than ever.
Thanks once again and I hope I don't sound too dumb as I am new to statics.
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