4. A 4000-lb weight is held stationary in place by 2 cables. The tension in one cable is 1080 lbs and it makes a 40 angle as shown. Determine the tension F and the angle of the other cable. 5. Find the angle (in degree) between the two planes: (2x-3y+z-1=0 6. Find the distance between 2 parallel planes: 2x-3y+4z-2=0 x+2y-z+1=0 3x+6y-3z-4=0 40 1080 lbs F 4000 lbs 7. Find the equation for the line that goes through point A(2,4,-3) and is perpendicular to the plane 3x-9y+2z=7. You can put the equatoin in either parametric or symmetric form. Z 2 8. Convert the following equation from to rectangular system: r =. If your answer contains the radical sign, go through the Algebra to remove it. 1. A cable, strung from A to B, is used to support a flag pole as shown in the diagram. The tension in the cable is measured to be FR = 560N. a. Determine the components of FB b. Find the direction cosines for F 2. Three forces, F, F2, F3 act at point O of a rod as shown. Note that F3 follows the 3-4-5 right triangle. Determine resultant force vector and its magnitude. 3. A hammer is used to remove a nail. The head of the nail is located at point A. A force of 25 lbs is applied to the hammer at point B at angle 25 as shown. Using the given geometry and the axis origin at the nail head, determine the torque at the nail head. Be sure to clearly provide the position and force components to receive credit. A 6 m FB FC 2 m B 3 m 3 m 2 m C y 55 F2 = 250 N F3 = 200 N 3 4 F1=400 N 25 B 25 lbs 18 in. 2 in. - x