A block of mass 200 g is kept stationary on a smooth inclined plane by applying a minimum horizontal force F = x N as shown in figure. The value of x = _ _ _ _ _ .

Step-by-step solution

Balancing the forces in horizontal direction N sin θ = F And balancing the forces in vertical direction N cos θ = m g ⇒ tan θ = F m g ⇒ F = m g tan θ F = 0 . 2 × 10 × 3 = 12   N . Therefore, x = 12