Calculate T1, T2 and T3. JPeg image of problem is attached.
Sum of all forces = Mass of system x Acceleration of System
The Attempt at a Solution
I think I have T1 and T3 figured out but I am having problems with T2.
if the (E = sum of)
EF = ma
T2 + Ff = ma (Ff = 0 b/c u = 0)
however 0.5 kg is hanging so Fg is acting on T2
So i treated Fg of 0.5 kg mass like I would friction. The thing that is troubling me is that I thought you could only add up forces in the same plane. i.e. x-plane or y-plane.
a = 0.61 m/s^2 to the left, from previous work
How do I relate Fg from the 0.5 mass with T2 (going left?)
My first attempt:
EF = ma = T2 +Fg
(4.5 kg)(0.61m/s^2) = T2 + (0.5kg)(-9.8m/s^2)
T2 = 7.6 N
I had two issue. B/C everything is accelerating to the left, I thought a should equal -0.61m/s^2 but then the T2 value seems too small.
The second issue relates to Fg in the y-plane and T2 in the x-plane. Can you sum these forces up?
Should t1 > t2 > t3??? or not?