Question

12 in. A coaveyor pyastem in Gted with vertical panels, and a 300-mm AB of ma 2.s ig is lodged between two panels as shown. Knowing that e acneleration of the system s 1.5m/ to the eft, detensine (a) the force ated on the rod at C. G) the reaction at B

Answer 1

The given data and around has 300 mm dint and AB mass 2.5 kg and acceleration of the system is 1 - 5 m/s^2, so that x = 200/sin 70 from the given figure implies 212.83 mm y = 200/tan 70 = 72.79 mm y_1 = 150 times cos 70 = 51.3 mm x_1 = 150 times sin 70 = 140.95 mm and we have consider the moment at point B therefore sigma M_n = 0 implies - C V 12.83 + w times y_1 = max x_1 - C times 212.83 + mg times y_1 = max x_1 and - C times 212.83 + 2.5 times 9.81 times 51.3 = 2.5 times 1.5 times 140.95 and C = 3.427 N and sigma F_y = 0 hear C sin 20 - w + B_y = 0 implies 3.427 times sin 0.25 times 9.81 + B_y = 0 then B_y = 23.2 TN and sigma F_x = 0 implies B_x - C cos 20 = ma