A bouy is attached to three tugboats by three ropes. The tugboats are engaged in a
Channel: Doubtnut
Date: 2020-07-26

A bouy is attached to three tugboats by three ropes. The tugboats are engaged in a tug-0f-war. One tugboat pulls west on the buoy with a force `vec(F)_(1)` of magnitude `1000N`. The second tugboat pulls south on the buoy with a force `vec(F)_(2)` of magnitude `2000N`. The third tugboat pulls northeast (that is, half way between north and east), with a force `vec(F)_(3)` of magnitude `2000N` a. Express each force in unit vector from `(hat(i),hat(j))`.  b. Calculate the magnitude of the resultant force.