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The resultant of these forces vecOP, vec...

The resultant of these forces `vecOP`, `vecOQ`, `vecOR`, `vecOS` and `vecOT` is approximately ___________ N.
[Take `sqrt(3)=1.7,sqrt(2)=1.4`, Given `hati` and `hatj` unit vectors along x, y axis]

A

`-1.5 hat(i) - 15.5 hat(j)`

B

`9.25 hat(i) + 5hat(j)`

C

`3hat(i)+15hat(j)`

D

`2.5 hat(j)- 14.5 hat(j)`

Text Solution

Verified by Experts

The correct Answer is:
B

`vec(F)_(x)= (10 xx (sqrt3)/(2)+ 20 ((1)/(2)) + 20 ((1)/(sqrt2))-15 ((1)/(sqrt2))- 15 ((sqrt3)/(2))) hat(i)= 9.25 hat(i)`
`vec(F)_(y)= (15 ((1)/(2)) + 20 ((sqrt3)/(2))+ 10 ((1)/(2))- 15 ((1)/(sqrt2))- 20 ((1)/(sqrt2))) hat(j)`
`F_(y)= 5 hat(j)`
`therefore F_("Net") = F_(x)+ F_(y)= 9.25 hat(i) + 5hat(j)`
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