A cleat on a boat is used to support forces from three ropes as shown. Determine the resultant force vector R, using Cartesiar representation, and determine the magnitude R. Also express R in polar vector representation. Given: F=600 N.

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
Question
A cleat on a boat is used to support forces from three ropes as shown. Determine the resultant force vector R, using Cartesian
representation, and determine the magnitude R. Also express R in polar vector representation. Given: F = 600 N.
y
F2
= 200 N
F1
F3 = 100 N
12
%3D
40°
30°
The Cartesian representation of the resultant force is as follows:
The magnitude of the resultant force is
|N.
The polar representation of the resultant force is as follows:
R =
N@
(Express the angle in the positive counterclockwise direction from the positive x axis.).
Transcribed Image Text:A cleat on a boat is used to support forces from three ropes as shown. Determine the resultant force vector R, using Cartesian representation, and determine the magnitude R. Also express R in polar vector representation. Given: F = 600 N. y F2 = 200 N F1 F3 = 100 N 12 %3D 40° 30° The Cartesian representation of the resultant force is as follows: The magnitude of the resultant force is |N. The polar representation of the resultant force is as follows: R = N@ (Express the angle in the positive counterclockwise direction from the positive x axis.).
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