Static Friction — Prelims Questions

A block of mass $M = 5,\text{kg}$ is placed on a rough horizontal surface. The coefficient of static friction between the block and the surface is $mu_s = 0.6$. A horizontal force $F$ is applied to the block. What is the maximum value of $F$ for which the block will remain at rest? (Take $g = 10,\text{m/s}^2$)

An object is placed on an inclined plane. The angle of inclination is gradually increased. It is observed that the object just begins to slide down when the angle of inclination is $37^circ$. What is the coefficient of static friction between the object and the plane? (Given $sin 37^circ = 0.6$, $cos 37^circ = 0.8$)

A horizontal force $F = 20,\text{N}$ is applied to a block of mass $4,\text{kg}$ resting on a rough horizontal surface. If the coefficient of static friction is $mu_s = 0.7$ and the coefficient of kinetic friction is $mu_k = 0.5$, what is the magnitude of the friction force acting on the block? (Take $g = 10,\text{m/s}^2$)

A block of mass $m$ is at rest on a rough horizontal surface. The coefficient of static friction is $mu_s$. A force $F$ is applied to the block at an angle $heta$ above the horizontal. What is the condition for the block to remain at rest?

A block of mass $10,\text{kg}$ is held against a vertical wall by applying a horizontal force $F$. If the coefficient of static friction between the block and the wall is $0.5$, what is the minimum force $F$ required to prevent the block from falling? (Take $g = 10,\text{m/s}^2$)

Which of the following statements about static friction is INCORRECT?