Question

Calculate the resultant force applied on the rope during the game of tug of war where team A is pulling the rope with 100N and team B is pulling the rope with 125N .​

Answer 1

Answer:

If the object is at rest or it moves with a same velocity, the resultant force should be zero. All forces are acting on same direction, resultant force should be the sum of all the forces. In this case, the forces applied by team A are 100 N, 120 N and 170 N. The total force is 100 N+120 N+170 N = 390 N.

Answer 2

in the game of tug of war ∅ is 180° because the rope is pulled from the opposite ends.

cos180° is -1

So, resultant = √100²+125²+2×100×125×(-1) = 25

∴ resultant is 25 N

Short Cut trick:-

when the ∅ is 180°, the resultant is simply the difference of the two vectors.

i.e 125-100 = 25 N

hope it's understandable :''D