Two wedges, each of mass m, are placed next to each other on a flat horizontal floor. A cube of mass M is balanced on the wedges as shown in figure. Assume no frictionbetween the cube and the wedges, but a coefficent of static friction mult1 between the wedges and the floor. What is the largest M that can be balanced as shown without motion of the wedges ?

Two wedges, each of mass m, are placed next to each other on a flat ho

1.	Two wedges, each of mass m, are placed next to each other on a flat horizontal floor. A cube of mass M is balanced on the wedges as shown in figure. Assume no frictionbetween the cube and the wedges, but a coefficent of static friction mult1 between the wedges and the floor. What is the largest M that can be balanced as shown without motion of the wedges ?
Answer» `(m)/(sqrt(2))` `(mu m)/(sqrt(2))` `(mu m)/(1-mu)` `(2 mu m)/(1-mu)` Solution :The free body DIAGRAMS of all bodies are as shown. From `FBD` of blcok `2N cos 45^(@)=Mg……(1)` For wedge to REMAIN at rest `N sin 45^(@) lt mu N'……(2)` and `N' =mg+N cos 45^(@) ….(3)` From `1,2, ` and 3 we get `Mle(2mum)/(1-mu)`