consider two blocks a rest on a flat plane. Block one lays on a plane, while block two lays atop block one. Given a static coefficient of friction, with what force much you push block one such that block two just begins to slide off a block one?

A box, initially at rest, is pushed up a ramp that makes an angle of 15◦ with the horizontal as shown in the diagram. The magnitude of the pushing force is 8m newtons, where m is the mass of the box in kilograms. The force is in a direction parallel to and up the ramp. The coefficient of sliding friction between the box and the ramp is 0.25. Model the box as a particle and take the magnitude of the acceleration due to gravity to be g = 9.8 m s−2 . Express the four forces in component form in terms of unknown magnitudes where appropriate and find an expression for the resultant force acting on the box. Hence find the magnitude of the acceleration of the box, in m s−2

In the figure, block M2 is sitting on a table and is connected by mass-less chords to block M1 and to a vertical wall. The coefficient of static friction between M2 and the table is Us=0.60. Block M1 has a mass of 8 kg. The angle made by the chord and the wall is 55 degrees.  What minimum mass must block M2 have in order to remain stationary and not slide?

A girl exerts a horizontal force of 133 N on a box with a mass of 33.2 kg.   (a) If the box doesn't move, what's the magnitude of the static friction force (in N)? N (b) What is the minimum possible value of the coefficient of static friction between the box and the floor? (Assume the box remains stationary.)

Three blocks are connected over two frictionless, massless pulleys by two inextensible, massless cords as shown in the figure. There is friction between block m2 and the horizontal surface of the table. If the block m₁ moves downward after being released from rest, then what is the magnitude of the acceleration of the blocks and the magnitude of the tension in the cords in terms of the masses of the blocks m₁, m2, and m3, the coefficient of kinetic friction between block m₂ and the table, uk, and the acceleration due to gravity, g. Include a force diagram or free-body diagram of the situation. m1 mq m3