Inclined Atwood Machine with Friction

Ok, you have an Atwood Machine on an incline with friction, and you need to determine its acceleration. It's not really a problem. This video will show you have to handle Inclined Atwood Machine problems. Three examples are done. One finding the coefficient of static friction. One determining the acceleration of the system with kinetic friction. And, the last example solving the same problem symbolically using algebra.
0:20 An 8 kg block on a 35-degree incline is part of a modified Atwood machine. Hanging over the edge is an 11 kg block. Friction is holding the system in place. Find the coefficient of static friction.
7:54 The system above is bumped and starts to accelerate. If the coefficient of kinetic friction is 0.3, what is the acceleration of the system?
13:42 A block of mass m1 is attached to another block of mass m2 over a pulley. Block m1 is on an incline set to an angle of theta to the horizontal. If the coefficient of kinetic friction is mu, find the acceleration of the system.

[ausar]

I've searched all of youtube, and only your video was helpful! THANK YOU!! :)

[LucasGuadron]

for the second problem, the acceleration should be 2.29 m/s squared, for some reason you replaced 64.22 N with 69.22 N while doing the Fmovement=Fsystem equation.

[spidey]

a = (m2 - m1) * g * sin(θ) / (m1 + m2) why does not this work? I tried for the first problem and got 5.735 m/s^2