Statics Assignment 4

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University of Ontario Institute of Technology
ENGR 2230U: Statics Assignment 4 (Due: October 11, 2012 at 4:00 pm) Please, clearly write your name and student number on your solution sheet(s)

1. Determine the magnitude of the reactions on the beam at A and B in Fig. 1. Neglect the thickness of the beam. (5-11). 2. Determine the tension in the cable and the horizontal and vertical components of reaction of the pin A in Fig. 2. The pulley at D is frictionless and the cylinder weighs 80 lb. (5-18)

Fig. 1

Fig. 2

3. The floor crane and the driver (Fig. 3) have a total weight of 2500 lb with a center of gravity at G. Determine the largest weight of the drum that can be lifted without causing the crane to overturn when its boom is in the position shown. (5-30) 4. The 100-lb door has its center of gravity at G (Fig. 4). Determine the components of reaction at hinges A and B if hinge B resists only forces in the x and y directions and A resists forces in the x, y, z directions. (5-70) 5. A vertical force of 80 lb acts on the crankshaft in Fig. 5. Determine the horizontal equilibrium force P that must be applied to the handle and the x, y, z components of force at the smooth journal bearing A and the thrust bearing B. The bearings are properly aligned and exert only force reactions on the shaft. (5-77)

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Fig. 3

Fig. 4

Fig. 5

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