A maximum of 3 N force can be applied on a block, down the incline, that would still not move the block which is placed on a rough inclined plane as shown in the figure. The maximum external force up the inclined plane that does not move the block is 12 N . The coefficient of static friction between the block and the plane is Take g = 10 m s - 2

Step-by-step solution

Block does not move upto a maximum applied force of 3   N   down the inclined plane. Equation of motion is 3 + m g   sin 30 ° = F 3 + m g   sin 30 ° = μ   m g   cos 30 ° ....(i) Similarly, block also does not move upto a maximum applied force of 12   N up the plane. Now, equation of motion is m g   sin 30 ° + F = 12 or, m g   sin 30 ° + μ   m g   cos 30 ° = 12 ...(ii) Solving Eqs. (i) and (ii), we have m g   sin 30 &