The two structural members, one of which is in tension and the other in compression, exert the indicated forces on joint O. Determine the magnitude of the resultant R of the two forces and the angle which R makes with the positive x-axis. The angle is measured counterclockwise from the positive x-axis. 3.6 kN 2.2 KN Answers: R= 9- i 39⁰ *al**** J' www. www.10 www wwww IMSM 57' KN

ma tug-of-war game on one campus, 15 students pull on a rope at both ends in an effort to displace the central knot to one side or the other. Two students pull with force 196 N each to the right, four students pull with force 87 N each to the left, five students pull with force 62 N each to the left, three students pull with force 150 N each to the right, and one student pulls with force 250 N to the left. Assuming the positive direction to the right, express the net pull on the knot in terms of the unit vector. How big is the net pull on the knot? In what direction? net pull N to the Select an answer v %3D TA 8088 ni pnibne inu

3

You wish to help the child carry the backpack. Find the magnitude of force you should apply to the backpack with weight 34 lb and the angle to minimize the amount of force the child needs to provide if a is fixed at 20.1°. B = Child B W y α O You X

What is the horizontal component of the force F that the wall exerts on the plank? Q 1900 N O −1100 N O1400 N O −3600 N

Problem#3 1. Compute the magnitude of the resultant R of the forces exerted on the screw eye. 2. Compute the inclination 0 of the resultant R with respect to the X axis. 3. Resultant R 1. 483.1 2. 348.1 3. 298.4 4. 367.8 Angle 0 1. 29.5 2.33.6 3. 27.8 4.36.7 200 lb Horizontal 200 lb Y Screw eye X

*2-12. Determine the angle for connecting member A to the plate so that the resultant force of FA and FÅ is directed horizontally to the right. Also, what is the magnitude of the resultant force? PROBS. 2-11/12 m IM TOP NO 00- -40° B FA = 8 KN A FB = 6 kN