This document describes the tensions in two strings (T and T') that are supporting a weight (W). It provides the force equilibrium equations relating the horizontal and vertical forces of T, T', and W. Solving these simultaneous equations yields that T = 15 N and T' = 29 N.

1. 46. We denote the tension in the upper left string (bc) as T and the tension in the lower right string (ab)
as T . The supported weight is M g = 19.6 N. The force equilibrium conditions lead to
T cos 60◦ = T cos 20◦ horizontal forces
◦ ◦
T sin 60 = W + T sin 20 vertical forces .
(a) We solve the above simultaneous equations and find
W
T = = 15 N .
tan 60◦ cos 20◦ − sin 20◦
(b) Also, we obtain T = T cos 20◦ / cos 60◦ = 29 N.