Three vectors are shown in Fig. 3-35 (A = 68.0 ; B = 60.0). Their magnitudes are
ID: 2154542 • Letter: T
Question
Three vectors are shown in Fig. 3-35 (A = 68.0 ; B = 60.0). Their magnitudes are given in arbitrary units. Determine the sum of the three vectors.
Figure 3-35.
(a) Give the resultant in terms of components.
Rx =
Ry =
(b) What is the magnitude of the resultant? What is the resultant's angle above the +x-axis?
_____
Three vectors are shown in Fig. 3-35 (A = 68.0 ; B = 60.0½). Their magnitudes are given in arbitrary units. Determine the sum of the three vectors. Figure 3-35. (a) Give the resultant in terms of components. Rx = Ry = (b) What is the magnitude of the resultant? What is the resultant's angle above the +x-axis? _____½Explanation / Answer
a) Rx = components are there only for a and b = Rxa + Rxb = 68cos(28) - 40cos(60) Rx =40.04 Ry = 68sin28 + 40sin60 - 46.8 = 19.765 b) magnitude of resultant = sqrt( (Rx)^2 + (Ry)^2 ) = sqrt (1603.2+390.65) = 44.652 and angle = tan^-1(Ry/Rx) = tan^-1(0.493) = 26.27 degrees above x axis
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