Two identical 15.0-kg balls, each 25.0 cm in diameter, are suspended by two 35.0-cm wires (?Fig. P5.85?). The entire apparatus is supported by a single 18.0-cm wire, and the surfaces of the balls are perfectly smooth. (a) Find the tension in each of the three wires. (b) How hard does each ball push on the other one?

Solution 87P Step 1 : Let consider the data given We have Mass of balls as m = 15 kg Length of the line l = 35 cm Diameter of ball 2r = 25 cm This implies radius r = 12.5 cm Length of support x = 18 cm Step 2 : Let us draw a free body diagram Step 3 : We need to find the angle It is given using sin = r r+l Substituting the values we get sin = 12.5 cm 12.5 cm +35ccm sin = 0.2631 cm 1 = sin (0.2631) 0 = 15.25 Hence the angle is found to be 15.25 0