Vectors
posted by Victor .
Given the vectors below, determine the resultant and the equilibrant using trigonometry. Show all your steps.
330.0 newtons @ 125 degrees
250.0 newtons @ 60.0 degrees

Fr = 330[125o] + 250[60o] = Resultant force.
X = 330*Cos125 + 250*Cos60 = 64.3 N.
Y = 330*sin125 + 250*sin60 = 487 N.
Q2.
Tan A = Y/X = 487/64.3 = 7.57387.
A = 82.5o = 82.5o N. of W. = 97.5o CCW.
Fr=Y/sin A = 487/sin97.5 = 491 N.[97.5o}
Fr + Fe = 0, Fe = Fr.
Fe = (64.3 + 487i) = 64.3  487i =
491[82.5o] S. of E. = 491 N.[277.5o]CCW.
= Equilibrant force.
Or Fe=Fr=Fr[97.5o+180o] = 491N.[277.5]
Respond to this Question
Similar Questions

Math: Calculus  Vectors
A plane flies on a bearing of 120 degrees at a constant speed of 550 km/h. If the velocity of the wind is 50 km/h on a bearing 220 degrees, what is the velocity of the plane with respect to the ground? 
Math _ Vectors
A plane flies on a bearing of 120 degrees at a constant speed of 550 km/h. If the velocity of the wind is 50 km/h on a bearing 220 degrees, what is the velocity of the plane with respect to the ground? 
physics
Can you help me with this one also? I know how to do it with 3 vectors but I can't seem to draw it with 4 vectors. The magnitudes of the four displacement vectors shown in the drawing are A=16.0 m, B=11.0 m, C=12.0 m, and D=26.0 m. 
Mechanics AS (Vectors)
When Studying Vectors, How Would I Go About Answering This Question? 
math/physics
Forces with magnitudes of 2000 newtons and 900 newtons act on the machine part at angles of 30 degrees and 45 degrees respectively, with the xaxis. Find the direction and magnitude of the resultant of these forces. 
physics
A block of mass m is pushed along a horizontal table by a force F= 70 N a an angle 55 degrees with the horizontal. The coefficient of kinetic friction is 0.3 Write Newtons second law using vectors. Write newtons second law using x … 
Quick physics check
Add together these vectors: V1= 60 Newtons at 45 degrees N of W; V2= 5Newtons at 30 degrees S of E Is it 62.25N@40.50 S of E? 
Physics PLEASE HELP!!
Add together these vectors: V1= 60 Newtons at 45 degrees N of W; V2= 5Newtons at 30 degrees S of E Is it 62.25N@40.50 S of E? 
Quick Physics check
Add together these vectors: V1= 60 Newtons at 45 degrees N of W; V2= 5Newtons at 30 degrees S of E Is it 61.49N@40.50 n of w? 
Math
Let a, b, and c be unit vectors, such that a+b+c=0. Show that the angle between any two of these vectors is 120 degrees. I proved this geometrically, but now my teacher wants a proof using vectors, and I don't know what to do.