How to Find the Balancing Mass and Supporting Tension in a Beam?

[Kingrick]

Homework Statement

for the 1m long, 5N beam below, find the balancing mass m and the supporting tension T

T
----- ^
| | | ------
| m | |(25cm) | 2kg |
---------------------------------(1m)

Homework Equations

f=ma

torque= Fxr
cross product, F x rsinx

The Attempt at a Solution

first i summed the forces

Fx=0, no forces acting in x.

Fy=0

forces acting

1. m1g= 9.8m1
2> m2g= 19.6N
3. CG= 5n
4. T =?

9.8m1 + 19.6N + 5N - T= 0

so T = 9.8m1 + 24.6N


next I summed the torques

19.6N * 0.75m + 5 * 0.25 -(9.8)(.25m)m1 = 0

m1 = 6.5kg

Fm1= 63.7N

the actual answer of the force is -88.7N, and the T=8.45

seeing how i have the wrong force values i know that my T will be wrong using it. if anyone can show me where I went wrong in this one that would be very helpful thanks.

 

[Kingrick]

sorry about picture, i just uploaded a paint file so hopefuly that works.