- #1
kj99
- 10
- 1
Homework Statement
Find the Acceleration of the system and the tensions in the three ropes.
*If you can't see the picture there's a triangle (ABC), a train of four objects and three pulleys (one exactly at each corner). Side AC (hypotenuse) at the bottom, side AB to the left and side AC to the right.
Angle A=37
Angle B=53
Angle C=90
There is only kinetic friction between A and B of 0.125.
mass A= 10kg (hangs straight off the pulley at Angle A)
mass B= 5kg (on AB)
mass C= 10kg (on BC)
mass D= 20kg (hanging off the pulley at Angle C)
Up is positive
Homework Equations
The Attempt at a Solution
I got an acceleration of 28.96m/s/s but I'm fairly sure it's wrong lol. I used these equations using scalar values:
m1: Fnet= T1 - Fg
10a= T1 - (10)(10)
T1= 10a+ 100
m2: Fnet= T2 -T1 - Fres - Fg//
5a= T2 - T1 - (0.125)(50cos37) - 50sin37
T2= T1 + 5a + 35.08
m3: Fnet= T3 + Fg// - T2
10a= T3 + 100sin53 - T2
T3= T2 + 10a -79.86
m4: Fnet= Fg - T3
20a= 200 - T3
T3= 200-20a
After finding these four equations I just started at the last equation and kept substituting from there.