Problem 17. For the tree in Problems 13 and 14, knowing the tension in cable AB is 950 lbs 1bs and the tension in cable AC is 810 lbs, determine the magnitude and direction of the resultant force at A. Write the force vector of the resultant A in terms of its unit vectors.

A stubborn dog is being walked on a leash by its owner. At one point, the dog encounters an interesting scent at some spot on the ground and wants to explore it in detail, but the owner gets impatient and pulls along the leash with force F = (86.4 N)i + (139.6 N)j + (34.8 N)k. (Here the unit vector k is directed vertically upward.) What is the magnitude of the pulling force in N? What angle does the leash make with the vertical?

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.

Two ropes are attached to a tire on the ground. The first rope exerts a force of 205. N in a direction 14.9 degrees west of north. The second rope exerts a force of 362. N in a direction 27.6 degrees east of south. Find the magnitude (in N) of the net force on the tire

Three main forces that act on the patella, and are shown on the diagram below. These forces are the quadriceps muscle force (FQ), the patella ligament force (FPL), and the patellofemoral joint reaction force (FPF). The angles a and ẞ are with respect to a line that is perpendicular to FPF. Assuming a = 10°, ẞ = 30°, and FQ = 4000 N, use the equations for static equilibrium to calculate the FPL in Newtons. Round to an integer, such there is no need for a decimal. FQ FPF FP B

If the magnitude of the resultant force is 3100 N, directed along the negative y axis, determine the magnitude of F and it's direction measured counterclockwise from the positive x axis. 55° 13/ 12 850 N 2000 N F = ?