Suppose you first walk 12 m in a direction 20° west of north (A) and then 20 m in a direction 40° south of west (B) Let the +x-axis coincide with the easterly direction and the +y-axis with the northerly direction. (a) Draw a diagram of the walk showing the resultant R.

Classical Dynamics of Particles and Systems
5th Edition
ISBN:9780534408961
Author:Stephen T. Thornton, Jerry B. Marion
Publisher:Stephen T. Thornton, Jerry B. Marion
Chapter1: Matrices, Vectors, And Vector Calculus
Section: Chapter Questions
Problem 1.32P: Show that (2arr+2brr)dt=ar2+br2+const. where r is the vector from the origin to the point (x1, x2,...
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Suppose you first walk 12 m in a direction 20° west of north (A) and then 20 m in a direction 40° south of west (B).
Let the +x-axis coincide with the easterly direction and the +y-axis with the northerly direction.
(a) Draw a diagram of the walk showing the resultant R.
Transcribed Image Text:Suppose you first walk 12 m in a direction 20° west of north (A) and then 20 m in a direction 40° south of west (B). Let the +x-axis coincide with the easterly direction and the +y-axis with the northerly direction. (a) Draw a diagram of the walk showing the resultant R.
West
-25m
B: 16.77 m, 221.35°
rom
-Tum
R 19.75 m, 183.94°
25m
-5m
20m
15m
A: 12.120m, 124.85°
5m
Om
-5m
-10m
-15m
-20m
North
-25m
5m
South
No. Not the right answer. Go to the next part for solution.
10m
1. Drag and drop the heads and tails of
vectors Leg 1 and Leg 2 to compose
the vector sum
2. Show the vector sum R
3. Your magnitudes must be within 2 m
of the correct values, and the angles
must be within ±5°.
15m
20m
East
25m
Transcribed Image Text:West -25m B: 16.77 m, 221.35° rom -Tum R 19.75 m, 183.94° 25m -5m 20m 15m A: 12.120m, 124.85° 5m Om -5m -10m -15m -20m North -25m 5m South No. Not the right answer. Go to the next part for solution. 10m 1. Drag and drop the heads and tails of vectors Leg 1 and Leg 2 to compose the vector sum 2. Show the vector sum R 3. Your magnitudes must be within 2 m of the correct values, and the angles must be within ±5°. 15m 20m East 25m
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