Forces p,2p,3p act along the sides of a triangle formed by the lines x=0,y=0 and 3x+4y=5.Find the magnitude of the resultant and equation of the line of action .
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Answer:
The resultant of 4 vectors in X, Y direction are:
resultant in X direction is
3
P
−
P
=2
P
(in -ve x direction)
In y direction is
4
P
−2
P
=2
P
(in +ve y direction)
So, the net resultant force vector is
R
→
=2
P
→
+2
P
→
angle between both vectors is 90
So magnitude of resultant is 2
2
P in direction of 45
0
from positive y axis in IV quadrant.
solution
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