What is the solution for finding F1 and F2 when angles are not equal?

[Kalenz]

Homework Statement

Hello, we were given homework, which is perfectly described by this picture. We should figure out F1 and F2 (it's number). I know that if the both angles are equal, it is easy to solve. However, now i should solve a situation when first angle (alpha) = 50 grades, the second (beta) = 25 grades - they are not the same
Furthemore, i know that weight of the man is 70 kg. We should find out F1 and F2.
https://fbcdn-sphotos-e-a.akamaihd.net/hphotos-ak-xpa1/v/t35.0-12/12544289_1209388075743534_1652378483_o.jpg?oh=701cd9f68eb6fc9e1d36dc4b134975b5&oe=56959F62&__gda__=1452709555_a73e61a8aedf3422f85bac6f7e38dc11

Homework Equations

of course Fg = m.g so Fg = 700N (approximately)

The Attempt at a Solution

Now i know that if the 2 parts of rope are equals, it can be solve in this way : Fg/2 = F1 . sin alpha and both forces (F1 and F2) would be equal. However, i do not know what will happen if the angles are not equal

Thank you really much for your help!

 

[WrongMan]

Fg/2 that's so .. let's say shady.. the drawing is really helping.. the dotted lines are a fantastic help, trust me... Have you tried the net force approach?

 

[Simon Bridge]

Hello, we were given homework, which is perfectly described by this picture. We should figure out F1 and F2 (it's number). I know that if the both angles are equal, it is easy to solve. However, now i should solve a situation when first angle (alpha) = 50 grades, the second (beta) = 25 grades - they are not the same...

There is no angle labelled beta in your diagram.

To handle this sort of problem, you realize that the sum of the forces is zero.
Start by resolving components for the forces along the rope sections.