# Three masses on a frictionless surface. Find Acceleration and tension.

1. Sep 30, 2007

### mnicolazzo

1. The three masses m1, m2, and m3 are connected by an unstretchable string so they can move on a compound track as shown. The track consists of three segments: a frictionless inclined track with the angle 30.00 degrees with the horizon for m1, a frictionless segment for the mass m2, and a vertical segment along which m3 moves. The pullys are also frictionless. Assume that both the pullys and the string are massless. Obtain the tension forces T1 and T2 and the Acceleration a for the values of m1, m2, and m3 and (-) given below.

m1= 4.52 kg
m2= 1.60 kg
m3= 3.80 kg
(-)=30.0 degrees

2. The equation to find the acceleration on two mass system is:

a=m1(g)-m2(g)(sin(-))
-------------------
m1+m2

I do not know how to solve these with three objects.

Thanks
1. The problem statement, all variables and given/known data

2. Relevant equations

3. The attempt at a solution

2. Sep 30, 2007

### Sourabh N

Apply Newton's laws, acceleration for all blocks is same in magnitude(why?). You have 3 bodies, so you have 3 eqn. You have 3 unknowns(T1 T2 a) so you can find them.