What Acceleration Will the System Move With?

AI Thread Summary
The discussion focuses on calculating the acceleration of a system of connected masses (m1, m2, m3, m4, m5, m6) influenced by different inclines and friction coefficients. The setup includes various masses positioned on inclines, with specific angles and friction values provided. Participants suggest starting with free-body diagrams to analyze the forces acting on each mass, which is crucial for determining the net force and resulting acceleration. The initial attempts at solving the problem involve summing the friction forces but indicate confusion about the correct approach. A clear understanding of the forces and proper application of physics equations is essential for finding the acceleration of the system.
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Homework Statement



.........__m5____
...|\....../....|
...|..\....../...|
..m1.|...m2....m4...|.m6
...|...\..../.....|
...|...45.\___m3___/30...|- All the boxes (m1, m2, m3, m4, m5) are connected by strings.
- m2 and m4 are leaning on the wall.
- m3 and m5 are standing
- m1 and m6 are hanging
- the first incline (the one at the left) has an angle of 135 degrees (conventional) >> thus 45 degrees north of west (in a manner of speaking)
- the second incline has an angle of 30 degrees

m1=35 kgm2=15kg
us2=0.40
uk2=0.20

m3=7.0kg
us3=0.70
uk3=0.60

m4=5.0kg
us4=1.0
uk4=0.80

m5=15kg
us5=uk5=0

m6=10kg

AT WHAT ACCELERATION WILL IT MOVE?

Homework Equations


g = 9.8 m/s2
sin 30 = 0.500
cos 30 = 0.866
sin 45 = cos 45 = 0
Ff = u*FN
vf = vi + at
d = vit + 1/2at2
vf2 = vi2 + 2ad
v = (vf + vi) / 2

The Attempt at a Solution


I tried to get all m*us and added them all together but it doesn't seem right. And I didn't know where to go next and I'm not sure if I even started right.
 
Last edited:
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draw free-body diagrams first; then you will find the answer by yourself.
 

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Thread 'A cylinder connected to a hanging mass'

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