Three froces acting on a body are shown in the figure. To have the resultant force only along the y-direction, the magnitude of the minimum additional force needed is

Options

A. `(sqrt3)/(4)N`
B. `sqrt3N`
C. `0.5N`
D. `1.5N`

Answer

C

Explanation

Since, resultant force acts only along y- direction `Sigma F_(x)= 1 cos 60 hat(i) - 4 sin 30 hat(i) + 2 sin 30^(@) hat(i)`
`= (1)/(2) hat(i)- 2hat(i) + 1 hat(i)= - 0.5 hat(i)= 0.5N`
To cancel this force minimum additional force needed is 0.5N along ve direction of x-axis