Question 98: Laws of Motion

Question

For a free body diagram shown in the figure, the four forces are applied in the 'x' and 'y' directions. What additional force must be applied and at what angle with positive x-axis so that the net acceleration of body is zero?

Accepted Answer

Resultant of already applied forces $$ =  - \widehat i - \widehat j$$
$$\Rightarrow$$ Force required to balance $$ = \widehat i + \widehat j$$
$$\Rightarrow$$ Force required $$ = \sqrt 2 $$ N in magnitude at angle 45$$^\circ$$ with +ve x-axis

Answer

$$\sqrt{2} N, 45^{\circ}$$

Answer

$$\sqrt{2} N, 135^{\circ}$$

Answer

$$\frac{2}{\sqrt{3}} N, 30^{\circ}$$

Answer

$$2 N, 45^{\circ}$$

Laws of Motion

For a free body diagram shown in the figure, the four forces are applied in the 'x' and 'y' directions. What additional force must be applied and at what angle with positive x-axis so that the net acceleration of body is zero?

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