II. Vector Basics 1. What is the magnitude and direction of """""#?! B What is the magnitude and direction of $% """""#? R
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1 II. Vector Basics 1. What is the magnitde and direction of """""#?! B 8.5 A 3. What is the magnitde and direction of &' """"#? J 12 lb K 2. What is the magnitde and direction of $% """""#? R T 4.5 lb 4. Sketch the resltant ector (+) Sketch the resltant ector (+). 6. Sketch the resltant ector (+) What is the magnitde and direction of the resltant in the sketch below? 8. What is the magnitde and direction of the resltant in the sketch below? What is the magnitde and direction of the resltant in the sketch below?
2 III. Addition of Vectors 10. Vector has a magnitde of 20 and a direction of 0. Vector has a magnitde of 40 and a direction of 60. Find the magnitde and direction of the resltant to the nearest whole 11. Vector has a magnitde of 15 and a direction of 0. Vector has a magnitde of 18 and a direction of 70. Find the magnitde and direction of the resltant to the nearest whole Vector has a magnitde of 24 and a direction of 0. Vector has a magnitde of 40 and a direction of 115. Find the magnitde and direction of the resltant to the nearest whole (contined on next page)
3 IV. Find the magnitde of the resltant ector when two forces are applied to an object. 13. Two forces with magnitdes of 20 ponds and 14 ponds and an angle of 55 between them are applied to an resltant ector to the nearest whole 14. Two forces with magnitdes of 48 ponds and 65 ponds and an angle of 80 between them are applied to an resltant ector to the nearest whole 20 lb lb 65 lb lb 15. Two forces with magnitdes of 70 ponds and 40 ponds and an angle of 130 between them are applied to an resltant ector to the nearest whole 16. Two forces with magnitdes of 77 ponds and 45 ponds and an angle of 43 between them are applied to an resltant ector to the nearest whole 17. Two forces with magnitdes of 62 ponds and 62 ponds and an angle of 145 between them are applied to an resltant ector to the nearest whole
4 V. Find the angle measrements between the resltant ector and force ector when two forces are applied to an object. 18. Two forces with magnitdes of 15 ponds and 10 ponds are applied to an object. The magnitde of the resltant is 24 ponds. Find the measrement of the angle between the resltant ector and the ector of the 10 pond force to the nearest whole degree. 19. Two forces with magnitdes of 6 ponds and 18 ponds are applied to an object. The magnitde of the resltant is 13 ponds. Find the measrement of the angle between the resltant ector and the ector of the 18 pond force to the nearest whole degree. 20 lb 14 lb 18 lb 14 lb 20 lb 24 lb 18 lb 6 lb 6 lb 13 lb 20. Two forces with magnitdes of 45 ponds and 62 ponds are applied to an object. The magnitde of the resltant is 100 ponds. Find the measrement of the angle between the resltant ector and the ector of the 45 pond force to the nearest whole degree. 21. Two forces with magnitdes of 200 ponds and 340 ponds are applied to an object. The magnitde of the resltant is 150 ponds. Find the measrement of the angle between the resltant ector and the ector of the 200 pond force to the nearest whole degree. 22. Two forces with magnitdes of 40 ponds and 42 ponds are applied to an object. The magnitde of the resltant is 31ponds. Find the measrement of the angle between the resltant ector and the ector of the 42 pond force to the nearest whole degree.
5 V. Challenge Problems 23. Vector has a magnitde of 53 and a direction of 0. Vector has a magnitde of 10 and a direction of 295. Find the magnitde and direction of the resltant to the nearest whole 24. Vector has a magnitde of 27 and a direction of 40. Vector has a magnitde of 34 and a direction of 58. Find the magnitde and direction of the resltant to the nearest whole 18 lb Use ectors to answer the following qestions. a) If two forces from different directions are applied to an object, can the magnitde of the resltant be larger than the sm of the magnitdes of the forces? Jstify yor answer. b) What if the forces were from the same direction? Jstify yor answer.
6 VI. Answers , lb, lb, , , , , , , lb lb lb lb lb , , a) No, the sm of two sides is greater than the third therefore the magnitde of the resltant is less than the sm of the two forces. b) The magnitde of the resltant is eqal the sm of the two forces.
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