Finding tension in strings with angled forces

[tibu]

Hello, I'm new here. Basically I have this practice exercise for my exam.:

A steel ball of mass 4.30 kg is suspended from two strings as shown in the picture. The upper string is at an angle of theta = 27.0° from the vertical, while the lower string is horizontal. Calculate the magnitude of T2, the tension in the lower string.

http://capa.hep.uprm.edu/msuphysicslib/Graphics/Gtype06/prob09_xph183f6pic2.gif

My general problem is that I'm bad with separating forces into components, and I assume this exercise deals with that. Can someone please point me in the right direction to solving this problem? Any help will be greatly appreciated.

 

[Sirus]

Always begin these types of problems with a free-body diagram (draw each force vector acting on the object). Remember that since the object is in equilibrium, all the force vectors, when added vectorally, should give zero. Use that and the angle and mass given, and you should be able to solve this.

 

[tibu]

Ok i believe that in order to get the tension in the horizontal string, I I need to get the horizontal component of the upper string since the lower string doesn't have a vertical component.

But the angle they give me is kinda weird.

I tried setting the tension in the lower string ewual to m*g*cos(27) but that does not give me the correct answer...

 

[Sirus]

In this case, doing trigonometric vector analysis is easier. Use vector addition to create a force-vector triangle, then use trigonometry (should be easy once you have the right triangle).

 

[tibu]

... You lost me on the last one.

 

[Sirus]

Sorry. Have you learned how to do vector addition and analysis? Draw all the vectors for the forces present, then place them tip to tail, and fill in angle and magnitude values, which gives you a right-angle triangle (in this case) with two side lengths and an angle, meaning you can find all the other info.

 

[tibu]

Ok I did this but what are the side lengths? The angle is the 90deg one right?