A block kept on a rough inclined plane, as shown in the figure, remains at rest upto a maximum force 2 N down the inclined plane. The maximum external force up the inclined plane that does not move the block is 10 N . The coefficient of static friction between the block and the plane is: [Take g = 10 m / s 2 ]

Step-by-step solution

2 + m g sin ⁡ θ = μ   m g cos ⁡ θ m g sin ⁡ θ - μ   m g cos ⁡ θ = 2   . . . . . . . . 1 m g sin ⁡ θ +   μ   m g cos ⁡ θ = 10   . . . . . . . 2 equation (1) devided by (2) m g   sin ⁡ θ - μ cos ⁡ θ m g   sin ⁡ θ +   μ cos ⁡ θ = - 2 10 = - 1 5   1 - μ 3 5 = - 1 + μ 3 6 = 4 3   μ μ = 3 2