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2-50. Determine the magnitude and coordinate direction angles of the resultant force, and sketch this vector on the coordinate system. F1 = 400 N 60° 135° 20% 60° 60° F2 = 500 N

2-50. Determine the magnitude and coordinate direction angles of the resultant force, and sketch this vector on the coordinate system. F1 = 400 N 60° 135° 20% 60° 60° F2 = 500 N

College Physics
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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2-50. Determine the magnitude and coordinate direction angles of the resultant force, and sketch this vector on the coordinate system. F1 = 400 N 60° 135° 20% 60° 60° F2 = 500 N
Transcribed Image Text:2-50. Determine the magnitude and coordinate direction angles of the resultant force, and sketch this vector on the coordinate system. F1 = 400 N 60° 135° 20% 60° 60° F2 = 500 N
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Step 1

Given

Determine the magnitude and coordinate direction angles of the resultant force, and sketch this vector on the coordinate system, as following below.

Physics homework question answer, step 1, image 1

 

Step 2

Here, the forces in Cartesian vector notation:

F1 = 400 sin 60 cos20 i - sin 60 sin 20 j + cos 60 k F1 =325.52 i - 118.48 j+ 200 k NF2 = 500 sin 60 i+ cos 60 j + cos 135 k F2 =250 i + 250 j-353.55 k N

Now, the resultant force is written as shown below,

FR = F1 + F2FR = 325.52 i - 118.48 j + 200 k+250 i + 250 j -353.55 kFR = 575.52 i + 131.52 j -153.55 k N

 

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