The system in the figure below is in equilibrium with the st

The system in the figure below is in equilibrium, with the string in the center exactly horizontal. Block A weighs 45.0 N, block B weighs 56.0 N, and angle ? is 35.0?. What are Find (a) tension T1, (b) tension T2, (c) tension T3, and (d) angle ?.

Solution

a)

T1cos35 = 45

T1 = 54.94 N

b)

T1sin 35 = T2

T2 = 54.94/sin 35 = 31.480 N

c)

T3 sin theta = T2

T3 cos theta = 56

tan(thetha) = 31.480/56

theta = 29.3359 degree

=> T3 = 56/(0.871 = 64.29 degree