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Q.

Three forces are acting on a particle as shown in the figure. To have the resultant force only along the Y-direction, the magnitude of the minimum additional force needed is

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a

0.866 N

b

1.732 N

c

0.5 N

d

4 N

answer is C.

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Detailed Solution

Resultant is along Y-axis. So, the component of resultant force along X-axis should be zero.∴ ∑ Fx = 0or 1 sin 300+2sin300-4cos600+F0 = 0∴  Fo = -12-1+2 = 12  = 0.5 N
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