End A of the bar AB in ?Fig. P11.50 rests on a friction-less horizontal surface, and end B is hinged. A horizontal force of magnitude 220 N is exerted on end A. Ignore the weight of the bar. What are the horizontal and vertical components of the force exerted by the bar on the hinge at B?
Solution 53P Step 1: In this problem, we have to find out the vertical and horizontal components of force acting on the bar of the hinge at B. So, we can draw a diagram which describes the forces acting on point B. So, we can tell that, the horizontal component is zero since, the horizontal component F(H) and -F(H) will cancel each other on the wall. Step 2: The vertical component will be acting upward as F(V). but, the hinge will experience a force -F(V) to balance the force here. So, we can write, the force acting on the downward direction -F(V) will cancel out with the applied force F. Since the system is having a shape of the right angled triangle, we can calculate the length of its base, Base = Hypotenuse - Altitude 2 Base = 5 - 4 = 25 - 16 = 9 Length of the base = 3 m
