orientation. Then sketch the resultant vector. Calculate the vector's magnitude, its reference angle (a), and its vector angle (0). The following example problem shows what is expected in your written solutions.

College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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22. In Parts a-d below, vectors have been written in terms of their
scalar components. For each problem, sketch the reference
coordinate system and the vector components in their correct
orientation. Then sketch the resultant vector. Calculate the
vector's magnitude, its reference angle (a), and its vector
angle (0). The following example problem shows what is
expected in your written solutions.
EXAMPLE: Ax = 1.0 N; A, = 2.0 N
y
A
A,
A = VA + A = V(1.0 N)² + (2.0 N)²
A = 2.23 N = 2.2 N
a = 0, |
Ax
(2.0 N
= tan
QA = tan
= 63.43° = 63.4°
(1.0 N/
A lies in Cartesian Quadrant I, so 0 = a = 63.4°
A = 2.2 N at 63.4°
a. Ax = 3.0 m; Ay
b. Bx = -2.00 N; By
с. СЕW
d. Dx = 0.0 m/s²; Dy = 6.0 m/s²
= -3.0 m
= 8.00 N
-12.0 m/s; CN-s = -5.0 m/s
%3D
Transcribed Image Text:22. In Parts a-d below, vectors have been written in terms of their scalar components. For each problem, sketch the reference coordinate system and the vector components in their correct orientation. Then sketch the resultant vector. Calculate the vector's magnitude, its reference angle (a), and its vector angle (0). The following example problem shows what is expected in your written solutions. EXAMPLE: Ax = 1.0 N; A, = 2.0 N y A A, A = VA + A = V(1.0 N)² + (2.0 N)² A = 2.23 N = 2.2 N a = 0, | Ax (2.0 N = tan QA = tan = 63.43° = 63.4° (1.0 N/ A lies in Cartesian Quadrant I, so 0 = a = 63.4° A = 2.2 N at 63.4° a. Ax = 3.0 m; Ay b. Bx = -2.00 N; By с. СЕW d. Dx = 0.0 m/s²; Dy = 6.0 m/s² = -3.0 m = 8.00 N -12.0 m/s; CN-s = -5.0 m/s %3D
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