Problem

(II) Two snowcats in Antarctica are towing a housing unit north, as shown in Fig. 4-50. The sum of the forces exerted on the unit by the horizontal cables is north, parallel to the line L, and FA =4500 N. Determine FB and the magnitude of

Solution 27P: Force is a vector quantity since it provides the magnitude as well as the direction in which it acts. We have to find the individual magnitude of force applied and their vector sum as per the given condition. Step 1 of 4 Concept: Newton’s second law: The net force F acting on an object of mass m produces an acceleration a in the object. Mathematically, F = ma. Free body diagram of a body gives the diagrammatical representation of all the forces acting on the body in terms of magnitude and diagram, under the given situation. Step 2 of 4 Figure below show the free body diagram of the housing unit. Both the forces F and F are resolved into its x and y components to simplify the calculation A B along horizontal and vertical direction respectively as shown in figure above. Taking forward direction of the motion of the snow cats along positive y axis and right side of the diagram is along positive x direction.