1.) The pin shown below is subjected to 3 forces (F1, F2 and F3). F1 = 1000 N and is a force in the direction of the x-axis. The 30 angle shown is on the horizontal plane (x- y plane). F3 = 450 N makes a 60 angle with the x-y plane (as shown in diagram). a) What is the unit vector for F1? b) What is the unit vector for F3? c) What are the coordinate direction angles for F1? d) What are the coordinate direction angles for F3? e) Express F1 and F3 as cartesian vectors. f) F2 = 800 N and has coordinate directions angles of a=120°, B=60°, v=45°. Determine the magnitude and coordinate direction angles of the resultant of F1, F2 and F3. F2 60° 30° y

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1.) The pin shown below is subjected to 3 forces (F1, F2 and F3). F1 = 1000 N and is a
force in the direction of the x-axis. The 30 angle shown is on the horizontal plane (x-
y plane). F3 = 450 N makes a 60 angle with the x-y plane (as shown in diagram).
a) What is the unit vector for F1?
b) What is the unit vector for F3?
c) What are the coordinate direction angles for F1?
d) What are the coordinate direction angles for F3?
e) Express F1 and F3 as cartesian vectors.
f) F2 = 800 N and has coordinate directions angles of a=120°, B=60°,
v=45°. Determine the magnitude and coordinate direction angles
of the resultant of F1, F2 and F3.
F2
60°
30°
y
Transcribed Image Text:1.) The pin shown below is subjected to 3 forces (F1, F2 and F3). F1 = 1000 N and is a force in the direction of the x-axis. The 30 angle shown is on the horizontal plane (x- y plane). F3 = 450 N makes a 60 angle with the x-y plane (as shown in diagram). a) What is the unit vector for F1? b) What is the unit vector for F3? c) What are the coordinate direction angles for F1? d) What are the coordinate direction angles for F3? e) Express F1 and F3 as cartesian vectors. f) F2 = 800 N and has coordinate directions angles of a=120°, B=60°, v=45°. Determine the magnitude and coordinate direction angles of the resultant of F1, F2 and F3. F2 60° 30° y
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F1=1000 NF3=450 NF2=800 N

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