2) In the variant of Atwood’s machine shown below, a mass slides on an inclined surface 40θ above the horizontal with a coefficient of kinetic friction μk = 0.15. The masses M1 and M2 are 1 kg and 2 kg, respectively. Which way does the pulley rotate? If the lowest point of each mass is initially 2m above the ground (vertically), and the system has a very small but non‐zero initial speed, how long does it take the first mass to hit the ground?
The Attempt at a Solution
So heres how I went about the problem. I first got a force diagram going and found all the forces
F-parallel = 15.01N
This is for Mass 2 on the incline
For mass 1 I got
So I have been trying to use the Ʃ all forces=ma for both equations, this gives me
Then I put the above M1 equation into M2 and solve for acceleration then plugging in a into either equation to get Ftens. I already know the answer a=-.183 I just want to beat on my craft so when the test rolls around I can set up quick variable templates then plug and chug. Areas of doubt are,
-what to do about friction in the sum I already know its going anticlockwise so Friction is negative correct?
-Plugged it in many times and cannot get the known answer.
Thanks for any help and I will keep this post updated if I come across the answer before I receive help