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.