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Three ants 1, 2 and 3 are pulling a grai...

Three ants 1, 2 and 3 are pulling a grain with forces of magnitudes `2Nsqrt(3)N` and `sqrt(2)N` and as shown in the figure. Find the resultant force acting on the grain.

A

zero N

B

`(l hati)` N

C

`(-1 hat i)` N

D

`(l hat j)` N

Text Solution

Verified by Experts

The correct Answer is:
b
The forces exerted by the ants are given as `F_(1)=2(cos 30^(@)+sin 30^(@)hatj)=sqrt(3hat i+j`
the net force is `overset(rarr)F=overset(rarr)F_(1)+overset(rarr)F_(2)+overset(rarr)F_(3)`
we have `overset(rarr)F=sqrt(3hati+hatj)+-sqrt(3hati)+(hati-hatj)=1hatN`
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