1511 653 a. The force vector shown has a cartesian for F = (1 lbf relative to the x and y axis. Resolve the vector into the x' and y' axes which is rotated at an angle a = 21 a F 42° b. A lawnmower is being pushed uphill at an angle of a W= 25 bs, Resolve the weight into the x' and y' axis (relative to the ground slope). Resolve the weight of the lawnmower, y' α W

Determine the resultant of the given vector forces by providing your answer in terms of the magnitude and direction. Then, sketch the "vector polygon" showing the given vectors and resultant, to approximate scale. Show all work, including appropriate units, on a separate sheet and upload. F = 84 lbs, F2 = 245 lbs, F3 = 249 lbs, m = 3.6, n = 8.7, and a = 143°. Note: Figure not necessarily drawn to scale. F1 F, Determine the magnitude of the resultant of the vectors in 1bs: Determine the angle of the resultant vector, measured in degrees, CCCW from the positive x- axis. Your answer should be positive. For example, -30° should be expressed as 330°. On your own paper, sketch the "vector polygon" showing the initial vectors adding to the resultant. Type in 1 if you attempted it, 0 if you did not.

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

Determine the magnitude of rectangular components of a force P = 500 N when it makes 60° with +x-axis. Use analytical approach.