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Question

Three forces 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


A
34 N
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B
3 N
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C
0.5 N
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D
1.5 N
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Solution

The correct option is B 0.5 N
Here the resultant force should be along y direction only so the Fnet along x direction should be zero

Taking x components, the total force  should be zero.
Let f be the magnitude of minimum force which must be along x direction, by resolving the vectors we get,

1×cos60+2sin30+f4sin30=0
f=0.5 N
Hence, the correct answer is option (c).

Physics

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