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Reduce system to a single force:
Q: A system of parallel forces is acting on rigid bar as shown in the figure given below. Reduce this system to a single force
single force: A single force means to find out resultant of system.
As there is parallel force that is resultant is sum of vertical forces,
R = 32.5 -150 + 67.5 -10 = -60
R = (V2)1/2
R = 60N (downward) .......ANS
Let d = Distance of resultant from A towards the right.
To find out the location of resultant apply varignon's theorem:
R.d = 150 × 1 - 67.5 × 2 + 10 × 3.5
60.d = 150 × 1 - 67.5 × 2 + 10 × 3.5
d = 0.833m
That is, resultant is at distance of 0.83 m from A.
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