How do I solve this. Help!!!
Well, the first thing you wanna do is simplify the system a bit into something like what my diagram shows:
Now this just makes everything clear such that we know the net force is zero. Hence, the force in the vertical direction is zero and the horizontal direction is also zero. Write this as an equation:
37*g = m1*g*sin(30) + m2*g*sin(21)
0 = m2*g*cos(21) - m1*g*cos(30)
Now you can solve this as a simultaneous equation by substitution where:
m1 = m2*cos(21)/cos(30) and sub this in to 1
37 = m2*cos(21)*sin(30)/cos(30) + m2*sin(21)
Therefore, m2 = 37/ (cos(21)*sin(30)/cos(30) + sin(21))
m1 = ( 37/ (cos(21)*sin(30)/cos(30) + sin(21)) ) * cos(21)/cos(30)
Since you know m1 and m2, you should be able to find T1 and T2 by just multiplying each mass by g (9.8).
So yeah, any mistakes please feel free to correct them but otherwise I hope this helps.