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As noted in Exercise 1.26, a spelunker is surveying a
Chapter 1, Problem 69P(choose chapter or problem)
As noted in Exercise 1.26, a spelunker is surveying a cave. She follows a passage 180 m straight west, then 210 m in a direction 45o east of south, and then 280 m at 30o east of north. After a fourth displacement, she finds herself back where she started. Use the method of components to determine the magnitude and direction of the fourth displacement. Draw the vector-addition diagram and show that it is in qualitative agreement with your numerical solution.
Questions & Answers
QUESTION:
As noted in Exercise 1.26, a spelunker is surveying a cave. She follows a passage 180 m straight west, then 210 m in a direction 45o east of south, and then 280 m at 30o east of north. After a fourth displacement, she finds herself back where she started. Use the method of components to determine the magnitude and direction of the fourth displacement. Draw the vector-addition diagram and show that it is in qualitative agreement with your numerical solution.
ANSWER:Solution 69P Step 1 of 6: Solving for numerical solution, Let North and East be positive. First displacement: 180 m west. 0 0 A=<180cos 180 ,180 sin 180 >= o Second displacement: 230 m, 45 east of south. 0 0 B =<230cos -45 , 230 sin -45 >= <115 2, -115 2>