24 Chapter 2 • Statics


• Draw a diagonal through the parallelogram, starting at the point of application. • Insert an arrow head on the diagonal line to indicate the direction of the resultant. • Measure the length of the resultant vector and calculate itsmagnitude according to the scale.


• Measure the angle of the resultant. Solution:


Scale: 100mm= 730 N (refer to 1.3.2 and example 1.1 on pages 4 and 5) 100mm 100 = 730N


100


\1mm= 7,3 N 7,3 N = 1mm


7,3N 7,3 = 1mm


7,3 \1 N = 0,137mm For 650 N force 1 N = 0,137mm


650 N = 650 × 0,137mm \650 N = 89,05mm


OC = 180mm(bymeasurement)


According to the scale: 1mm= 7,3 N; 180mm= 180 × 7,3 N = 1 314 N


angle AOC = 18,5° (bymeasurement)


(a) Resultant = 1 314 N pulling 18,5° below the right horizontal. (b) Equilibrant is also 1 314 N, but opposite in direction to the resultant.


0 650 N (89,05 mm) 18,5° 35° Planning diaglanning diagram ram A


Parallelogram of Example 2.2 Example 2.3


Find the magnitude and direction of the resultant and equilibrant of the two forces shown in fig. 2.2 (a).


Parallelogram of Example 2.2


B


C


730 N (100 mm)


Resultant 180 mm Equilibrant


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