A $2.00-\mathrm{kg}$ block is held in equilibrium on an incline of angle $\theta=60.0^{\circ}$ by a horizontal force $\overrightarrow{\mathbf{F}}$ applied in the direction shown in Figure P4.52. If the coefficient of static friction between block and incline is $\mu_{1}=0.300$. determine (a) the minimum value of $\vec{F}$ and (b) the normal force exerted by the incline on the block.