A block of weight $$W$$ rests on a horizontal floor with coefficient of static friction $$\mu$$. It is desired to make the block move by applying minimum amount of force. The angle $$\theta$$ from the horizontal at which the force should be applied and magnitude of the force $$F$$ are respectively.

A

$$\theta = \tan^{-1}(\mu),\ F = \frac{\mu W}{\sqrt{1+\mu^2}}$$

B

$$\theta = \tan^{-1}\left(\frac{1}{\mu}\right),\ F = \frac{\mu W}{\sqrt{1+\mu^2}}$$

C

$$\theta = 0,\ F = \mu W$$

D

$$\theta = \tan^{-1}\left(\frac{\mu}{1+\mu}\right),\ F = \frac{\mu W}{1+\mu}$$