Title August 15 - Statics and Theory Lecture Notes.pdf ✅

SITUATION 1. If the resultant of the forces is 80 kN and is acting along the positive x-axis, find the angle α The hook is subjected to three forces A, B, and C as shown. A = 35 kN, B = 45 kN, β = 60 deg. PROBLEM 1. SOLUTION: A logo with a white letter Description automatically generated R = Rx 2 + Ry 2 = 80 kN Rx = ΣFx = 80 kN Ry = ΣFy = 0 Rx 35 45 ΣFx = 80: → (+) −35 + 45cos60 + Ccosα = 80 Ccosα = 80 + 35 − 45cos60 C = 92.5 cosα ⟹ eqn. 1 ΣFy = 0: ↑ (+) Csinα − 45sin60= 0 Csinα = 45sin60 C = 45sin60 sinα ⟹ eqn. 2 60 deg.