Mechanics Homework 2-1 014 - Solving for force with given resultant Name_______________

Problem 2-1 From Fig. P-014, P is directed at an angle α from x-axis and the 200 N force is acting at a slope of 5 vertical to 12 horizontal.

  1. Find P and α if the resultant is 500 N to the right along the x-axis.
  2. Find P and α if the resultant is 500 N upward to the right with a slope of 3 horizontal to 4 vertical.
  3. Find P and α if the resultant is zero.

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a. \(P = 324.63 \, \text{ N}\), \(\alpha = 13.71^\circ\)

b. \(\alpha = 76.4^\circ\), \(P = 490.68 \, \text{ N}\)

c. \(P = 200 \, \text{ N at} \, \alpha = 157.38°\)