TBHI Translational equi HOMEWORK Draw a free body diagram-and a force diagram as a part of the solution D = 100. N 8 150 A=100. N @370 for each problem. 1. Three vectors (A, B, & C) are shown in the diagram below. Find one vector (magnitude and direction) that will have the same effect as the three vectors shown below. (Remember to show your work.) (Ans: 72 N, 40 N of W or 1409) C-80. N @ 2330 2. Calculate the force in cable AB and the angle 0 for the support system shown: (Ans:3.93 x 10' N, 87.19) F= 200. N 400.kg GA 6.5 x 102 N box is supported by 3 cables. What is the tension in the horizontal cable? (Ans: 4.63 x 10' N) 1540 9 ... 4. An object of mass m is suspended by two cords connected to a wall and to a 10. kg block resting on a table. The co-efficient of friction of 0.60 exists between the 10. kg object and the table. What maximum mass, m, that can be hung from the cords before the 10. kg block begins to move? (Ans: 8.6 kg) 10. Kgl m M = 0. 60 5. Calculate the horizontal force F that should be applied to the Coblo. 30 1 200. kg weight shown in order that the cable AB be inclined at an angle of 30 with the vertical. (Ans: 1.13 x 10 N) 200. kg6. Two forces of 100. kg each act on a body at an angle of 120 with each other. What is the weight of the body the two forces are supporting? 120 (Ans: 9.80 x 102 N) body 7. A 75. kg mass hanging by a cord is held stationary midway between two supports, as shown. What is the tensional forces in the strings? (Ans: 2.1 x 10' N) 100 kg 100 kg soa 75 Kg 8. A block is supported between two vertical poles with two wires attached to the two poles as shown. The block hangs from a vertical wire. If the block has a mass of 1 1,kg, what is the tension in the wire AC? (Ans: 54 N) B A likg. 9. Determine the tensions (T1, T2, T3) in each cable. (Ans: 4.90 x 10'N, 1.60 x 105 N, 5.76 x 109 N respectively) 500. hg T2 10. A 0.60 kg sheet hangs from a massless clothesline as shown in the diagram. The line on either side of the sheet makes an angle of 3.5 with the horizontal. Calculate the tension in the clothesline on either side of the sheet. Why is the tension so much greater than the weight of the sheet? Could you ever pull the clothesline tight enough that there would be no sag due to the weight of the sheet? (Ans: 48 N) 3.50 13.50