1. Consider the forces acting on these three changes and list in order of the magnitude of the force starting with the smallest. A в ----- +q Find FA Find Fa Find Fe
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- Jamal and Dayo are lifting a large chest, weighing 207 lb, by using the two rope handles attached to either side. As they lift and hold it up so that it is motionless, each handle makes a different angle with respect to the vertical side of the chest (Fig. P5.76). If the angle between Jamals handle and the vertical side is 25.0 and the angle between Dayos handle and the vertical side of the chest is 30.0, what are the tensions in each handle? FIGURE P5.76SAQ 1 1.2 m D 80 kN m An 80-kn. m couple shown in the plate is caused by a pair of parallel forces of magnitude F (not shown). 1.6 m Determine: a) the smallest possible value of F, and b) the value of F if the forces act at points A and C and are parallel to the dashed line shown at A. А В 60°SAQ 1 1.2 m D C 80 kN m An 80-kn.m couple shown in the plate is caused by a pair of parallel forces of magnitude F (not shown). 1.6 m Determine: a) the smallest possible value of F, and b) the value of F if the forces act at points A and C and are parallel to the dashed line shown at A. A В 60°
- 4. The force F has a magnitude of 500 lb and acts along the line AM, where M is the midpoint of the vertical side OB of the parallelepiped. Express F as its magnitude times the appropriate unit vector and determine its x-, y-, and z-scalar components. B M 0 10" F-500 lb 16" 16" A7) Let P= 20 kN. What is the tension in the cable? (Hint: If you want to know the internal force you need to make a cut.) Make a FBD. There is a pin at E. P Answer 5 3 4 A 2 m2 m- 6m B E -2 m-16. ao The drawing shows a rectangular piece of wood. The forces applied to corners B and D have the same magnitude of 12 N and are directed parallel to the long and short sides of the rectangle. The long side of the rectangle is twice as long as the short side. An axis of ro- tation is shown perpendicular to the plane of the rectangle at its center. A third force (not shown in the drawing) is applied to cor- ner A, directed along the short side of the rectangle (either toward B or away from B), such that the piece of wood is at equilib- rium. Find the magnitude and direction of the force applied to corner A. A D Axis Problem 16
- Q1) At point A, the four forces FB, Fc, FD and FE act, the lines of action for these forces are given by the straight lines AB, AC, AD and AE, as shown in Figure 1. Coordinate the points are: E y 1 3 3 6. 1 2 8. 4 7 12 cm ст cm Figure 1 The magnitudes of the forces are: F 7 KN, F 3 KN, FD=9 KN and FE= 13 KN. Represent this force F acting on the point A as a Cartesian vector and determine its direction. ABCDEQ1) At point A, the four forces FB, Fc, Fp and FE act, the lines of action for these forces are given by the straight lines AB, AC, AD and AE, as shown in Figure 1. Coordinate the points are: y 1 6. C 1 7 8. E 4 7 12 C cm cm ст Figure 1 The magnitudes of the forces are: F 7 KN, F= 3 KN, Fp= 9 KN and F= 13 KN. Represent this force F acting on the point A as a Cartesian vector and determine its direction.9- Two forces act at the originForce F_{1} is of magnitude 400 N and its direction angles are alpha = 65.8 degrees , beta = 65.8 degrees , and y = 35.3 degrees . The second force F_{2} is of magnitude 300 N, and its line of action passes through the origin and point A as shown. The following is required; a- The angle between the two forces. b- The projection of F_{1} along the line of action of . F_{2}
- Q1) At point A, the four forces FB, Fe, Fp and Fg act, the lines of action for these forces are given by the straight lines AB, AC, AD and AE, as shown in Figure 1. Coordinate the points are: 2. A. 3 3. 9. 8. E 12 cm ст cm Figure 1 The magnitudes of the forces are: F=7 KN, F=3 KN, F 9 KN and FF 13 KN. Represent this force F acting on the point A as a Cartesian vector and determine its direction. Q2) Figure 2 shows a rope that is stretched between points A and C, there is mass m at point B. Given values: m= 20 kg, h= 2 m, d= 3 m, a= 30°, y-60°. Determine the followings: a) What are the values of lengths LAB and LBc must be selected according to the given angles a and y? b) What are the values of forces FAB and FBc in the rope sections AB and BC? A a h Figure 2 B gQUESTION 1 A force system is shown below: Which of the following most nearly gives the magnitude of the resultant of the given forces? 55 KN 3 O a. 76.85 kN O b. 121.32 kN O c. 102.67 kN O d. 81.56 kN 200 KN 30⁰ 30 kN 40⁰ 20⁰ 100 kN u QUESTION 2 Which of the following most nearly gives the component of the resultant along the u-axis? O a. 47.63 kN O b.74.48 kN O c. 79.04 kN O d.99.50 kN8. With reference to Figure, which force has a Y component of-6.93 N? F=20 N F= 10 N 150 (a) FA 30 (b) FB +X axis 60° (c) Fc Fo=5N (d) Fo Fo= 8N
