Question

5. Three forces of 2P, 3P and 4P act along the three sides of an equilateral triangle of side 100 mm taken in order. Find the magnitude ___________ and position ____________ of the resultant force. a. 1.732 P, 150 mm b. 0.732 P, 150 mm c. 1.732 P, 150 m d. 150 P, 1.732 mm

Answer 1

Answer:

Assuming the base of the triangle lieing along the positive x axis and the height of the triangle along the positive y axis, Let 2p be the force along the base, 3p making an angle of 120degree with the posititve x axis and 4p making 60 degree with the positive x axis. Then the cummulative forces along the positive x axis give by, 2p + 3p cos120 +4p cos60 = 2.5P