A mass (10 kg) hangs from two strings which are attached to the ceiling shown in this picture:
http://i26.tinypic.com/28h0a6v.jpg
What is the tension in each string?
A mass (10 kg) hangs from two strings which are attached to the ceiling shown in this picture:
http://i26.tinypic.com/28h0a6v.jpg
What is the tension in each string?
Try using Lami's Theorem: Lami's theorem - Wikipedia, the free encyclopedia
The 2 strings must pull together with the same force as the weight of the mass.
Draw the parallelogram of forces. You already know all angles in the marked triangle and the length of the third side. Thus use Sine rule here:
$\displaystyle \frac{|\overrightarrow{F_1}|}{10}=\frac{\sin(40^\c irc)}{\sin(80^\circ)} ~\implies~ |\overrightarrow{F_1}|=10 \cdot \frac{\sin(40^\circ)}{\sin(80^\circ)} \approx 6.527036... kg$ By the way: You are dealing here with forces and therefore the unit kg is very, very inappropriate.
$\displaystyle \frac{|\overrightarrow{F_2}|}{10}=\frac{\sin(60^\c irc)}{\sin(80^\circ)} ~\implies~ |\overrightarrow{F_2}|=10 \cdot \frac{\sin(60^\circ)}{\sin(80^\circ)} \approx 8.79385... kg$