Question 243: Laws of Motion

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

Accepted Answer

The components of 1N and 2N forces
along + x axis = 1 cos 60ÃÂ° + 2 sin 30ÃÂ°
$$ = 1 	imes {1 \over 2} + 2 	imes {1 \over 2} = {1 \over 2} + 1 = {3 \over 2} = 1.5N$$
The component of 4 N force along Ã¢ÂÂ x-axis
$$ = 4\sin {30^o} = 4 	imes {1 \over 2} = 2N$$
Therefore, if a force of 0.5N is applied along + x-axis,
the resultant force along x-axis will become
zero and the resultant force will be obtained only
along y-axis.

Answer

$${{\sqrt 3 } \over 4}N$$

Answer

$${\sqrt 3 }$$ N

Answer

0.5 N

Answer

1.5 N

Laws of Motion

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

Choose the correct answer: