A block 1 of mass `m_(1)` , constrained to move along a plane inclined at angle `theta` to the horizontal, is connected via a massless inextensible string that passes over a massless pulley, to a second block 2 of mass `m_(2)` . Assume the coefficient of static friction between the block and the inclined plane is `mu_(k)` and the coefficient of kinetic friction is `mu_(k)`

What is the relation between the masses of block 1 and block 2 such that the system just starts to slip?

Explanation

By the principle of homogeneity, `a//V^(2)` is of the dimensions of pressure  and b is of the dimensions of volume.
[a] = [pressure] `[V^(2)]= [ML^(-1) T^(-2)] [L^(6)]= [ML^(5)T^(-2)]`
[b] `=[V]= L^(3)`