Answer:
a) L = 17.1 m
b) α = 68.0°
c) T = 88.4 N
Step-by-step explanation:
a) Sum of torques about point B:
∑τ = Iα
(42 sin 38°) L − (11 × 9.8) (L − 13) = 0
25.9 L − (107.8 L − 1401.4) = 0
-81.9 L + 1401.4 = 0
L = 17.1 m
b) Sum of forces in the y direction:
∑F = ma
(42 sin 38°) + T sin α − (11 × 9.8) = 0
25.9 + T sin α − 107.8 = 0
T sin α = 81.9
Sum of forces in the x direction:
∑F = ma
-(42 cos 38°) + T cos α = 0
-33.1 + T cos α = 0
T cos α = 33.1
Divide the first equation by the second equation:
tan α = 81.9 / 33.1
α = 68.0°
c) Use answer from (b) and any of the force equations to find T.
T = 88.4 N
