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need help with this problem and how do i determine which trigonometric sign to use like cos or sin in F_2

need help with this problem and how do i determine which trigonometric sign to use like cos or sin in F_2

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need help with this problem and how do i determine which trigonometric sign to use like cos or sin in F_2

2-70. The beam is subjected to the two forces shown. Express each force in Cartesian vector form and determine the magnitude and coordinate direction angles of the resultant force. F₂ = 250 lb X 17 60° 60° L Z 24 135° L amazon music 25 F₁ = 630 lb Prob. 2-70 O ^ 4x 2:15 PM 9/13/2023 24
Transcribed Image Text:2-70. The beam is subjected to the two forces shown. Express each force in Cartesian vector form and determine the magnitude and coordinate direction angles of the resultant force. F₂ = 250 lb X 17 60° 60° L Z 24 135° L amazon music 25 F₁ = 630 lb Prob. 2-70 O ^ 4x 2:15 PM 9/13/2023 24
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Step 1: Given Information

From the figure,we have 

F subscript 1 equals 630 space l b F subscript 2 equals 250 space l b A n g l e space m a d e space b y space F subscript 1 w i t h space y space a x i s tan theta equals 24 over 7 theta equals tan to the power of negative 1 end exponent open parentheses 24 over 7 close parentheses equals 73.74 degree A n g l e space m a d e space b y space F subscript 1 space w i t h space z space a x i s comma 90 degree minus space 73.74 degree equals 16.26 degree A n g l e space m a d e space b y space F subscript 2 space w i t h space x space a x i s comma space alpha space equals space 60 degree A n g l e space m a d e space b y space F subscript 2 space w i t h space y space a x i s comma space space beta equals space 135 degree A n g l e space m a d e space b y space F subscript 2 space w i t h space z space a x i s comma space gamma equals space 60 degree

Determine the magnitude and coordinate direction angles of the resultant force.

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