In the diagram both the prisms and the block have equal mass

In the diagram, both the prisms and the block have equal masses m. Angle Theta is given. Both surfaces of the larger prism are frictionless; however, there is friction between the horizontal surface of the smaller prism and the block. A horizontal and constant force of unknown magnitude F is exerted on the larger prism. As a result, the three objects remain at least relative to each other. Write your answer in terms of the given variables.

a. Find the magnitude of the acceleration of the larger prism a.

b. Find the value of the pushing force F.

Solution

(a) Find the magnitude of the acceleration of the larger prism a:

a = g*tan Using some free diagram for forces you can get

(b) Find the value of the pushing force F.

F = 3*m*g*tan by solving force equatins.