physics
Answers
In order to find the tension in the support cable, we need to sum the forces in the x- and y-directions and subtract the force of the wrecking ball. We start by summing the forces in the x-direction: F_x = T_c * cos(32°) - 4140*cos(48°) = 0 Where T_c = Tension in cable. Then, summing forces in the y-direction, we get: F_y = T_c * sin(32°) - 2550 - 4140*sin(48°) = 0 Solving these two equations gives us the tension in the cable T_c = 5520 N For the second part, we need to find the magnitude of the force exerted on the lower end of the boom by the hinge, we can do this by summing moments about the base of the boom: M_b = 0 = T_c * l * sin(32°) - 2550*l*sin(48°) - 4140 *l*cos(48°) Where l = distance from base of boom to hinge. Solving this equation we get the magnitude of the force: F = 5490 N
