A force acts at the origin of a coordinate system in a direction defined by the angles θx = 69.3° and θz = 57.9°. Knowing that the y component of the force is –174 lb, determine (a) the angle θy, (b) the other components and the magnitude of the force.

A force F, of magnitude 5.70 units acts at the origin in a direction 40.0° above the positive x axis. A second force F, of magnitude 5.00 units acts at the origin in the direction of the positive y axis. Find graphically the magnitude and direction of the resultant force F, + F magnitude units direction counterclockwise from the +x axis Need Help? Read

Problem 4: Vector Addition. Vector A = 200 NZ45° counterclockwise from the z axis, and vector B = 300 N 270° counterclockwise from the y axis. Find the resultant R= A + B by addition of scalar components. Problem 5: Consider the picture below. Find the tension T, tension Ta tension T₂

A car is being pulled out of the mud by two forces that are applied by the two ropes shown in the drawing. The dashed line in the drawing bisects the 30.0° angle. The magnitude of the force applied by each rope is 2900 newtons (N). (a) How much force would a single rope need to apply to accomplish the same effect as the two forces added together? (b) What angle would the single rope make relative to the dashed line? 2900 newtons 30.0 2900 newtons (a) Number i Units (b) Number i Units

If a force, F, has a magnitude of 45 N and is at an angle of 65 degrees (relative to the x-axis) then what is the magnitude of the x and y components (Fx and Fy) of this force? Double check your result by calculating the total force and angle using Fx and Fy.

a force F1=315N acts in the first quadrant at an angle of 70 degress above the x axis, while a second force F2=210N acts in the third quadrant at an angle of 40 degrees below the x axis. What is the magnitude of the resultant of these two forces. What is the direction (theta) of the resultant ?

The two vectors a and b in the figure have equal magnitudes of 13.3 m and the angles are 0₁ = 25º and 0₂ = 104°. Find (a) the x component and (b) the y component of their vector sum, (c) the magnitude of 7, and (d) the angle makes with the positive direction of the x axis. (a) Number (b) Number (c) Number (d) Number IN 8.8 18.5 20.5 65.7 Units Units Units 0₂ 3 3 m Units °(degrees) x

Vector a = <-1,4,0> and vector b =<4,-4,1>. Find the cross product of a X b

Three force vectors act on a free body at the origin as shown. F1= 4 N F2=2.0 i + 3.1 J N F3= 6.3 N at 35° relative to positive x axis. a) Report the unit vector in the direction of F3 (in unit vector or i,j,k notation to 4 sig figs) b)Calculate the resultant force R, which is the sum of the three forces F1,F2, and F3 (in unit vector or i,j,k notation to 4 sig figs)