The bracket is subjected to the two forces shown. Express each force in Cartesia
ID: 251643 • Letter: T
Question
The bracket is subjected to the two forces shown. Express each force in Cartesian vector form and then determine the resultant force FR. Given that F2 = 440 N.
a) Find the magnitude of the resultant force.
Express your answer to three significant figures and include the appropriate units.
FR = ?
b) Find coordinate direction angle ? of the resultant force.
Express your answer to three significant figures and include the appropriate units.
? = ?
c) Find coordinate direction angle ? of the resultant force.
Express your answer to three significant figures and include the appropriate units.
? =?
d) Find coordinate direction angle ? of the resultant force.
Express your answer to three significant figures and include the appropriate units.
? = ?
F2 60° 0 45° 120% 25° 35° F1-250 NExplanation / Answer
F1 =250*cos 35* sin 25 (x) + 250*cos 35*cos 25 (y) + 250*sin 35 (-z)
= 86.55 x + 185.6 y - 143.4 z
F2 = 440*cos 120 (x) + 440*cos 45 (y) + 440*cos 60 (z)
= -220 x + 311.1 y + 220 z
FR = F1 + F2
= (86.55 x + 185.6 y - 143.4 z) + (-220 x + 311.1 y + 220 z)
= -133.45 x + 496.7 y + 76.6 z
a)
resulatant = sqrt ( (-133.45)^2 + (496.7)^2 + (76.6)^2)
= 520 N
Answer: 5.20*10^2 N
b)
cos = x component / magnitude
cos = -133.45 / 520
= 105 degree
c)
cos = x component / magnitude
cos = 496.7 / 520
= 17.2 degree
d)
cos = x component / magnitude
cos = 76.6 / 520
= 81.5 degree
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