A cleat on a boat is used to support forces from three ropes as shown. Determine the resultant force vector R, using Cartesiar representation, and determine the magnitude R. Also express R in polar vector representation. Given: F=600 N.

The rope in the figure exerts a force of magnitude F=200 lb lb. on the top of the pole at B. Determine the magnitude of the moment of F about A.

The bucket of the excavator at a construction site is subjected to F = 1530 lb and F, = 790 lb digging forces at its tip. Determine the magnitude and direction of their resultant. Use the vector algebra and vector polygon methods. Compare the answers with the two methods to verify the accuracy of your work. (Express your answers using four and three significant figures, respectively. Report the direction as an angle between 0 and 180°, clockwise or counterclockwise.) R = lb v from i Select

The pipe assembly is subjected to the action of a wrench at B and a couple at A. (Figure 1) Simplify this system to a resultant wrench. Set F = 40 N.  a) Determine the components of the resultant force of the wrench. Enter the x, y, and z components of the force separated by commas. Express your answers in newtons to three significant figures.  b) Determine the components of the resultant moment of the wrench. Enter the x, y, and z components of the moment separated by commas. Express your answer in newton-meters to three significant figures.  c) Specify the location of the wrench along the axis of pipe CD��, measured from point C�. Express your answer to three significant figures and include the appropriate units.