Suppose a 900-kg car is on the bridge in Figure 9.34 with its center of mass halfway between the hinges and the cable attachments. (The bridge is supported by the cables and hinges only.) (a) Find the force in the cables. (b) Find the direction and magnitude of the force exerted by the hinges on the bridge.

Solution 13PE Step-by-step solution Step 1 of 8 (a) The free body diagram for the bridge when a car is at center of the bridge, Step 2 of 8 The expression to find the weight of bridge is: Here is mass of the bridge and is the acceleration due to gravity. Substitute for and in the expression of the weight. Step 3 of 8 The expression to find the weight of car is: Here is mass of the car and is the acceleration due to gravity. Substitute for and in the expression of the weight. Step 4 of 8 Force in y -direction is, Here is the vertical force, T is the tension force, is the weight of bridge and the weight of car at center of bridge. Force in x -direction is, Here, T is the tension force and is the horizontal force.