Two blocks of masses `m_(1) and m_(2)` are kept touching each other on a rough fixed inclined plane of inclination `alpha`. Coefficients of kinetic friction between the inclined plane and the block `m_(1)` is `k_(1)` and between the inclined plane and block `m_(2)` is `k_(2)`. Find the force of interaction between the blocks in the process of motion.

Explanation

`m_(1)g sin alpha +N-K_(1)N_(1)=m_(1)a " " (i)`
`N_(1)=m_(1)g cos alpha " " (ii)`
`m_(2)g sin alpha-N-K_(2)N_(2)=m_(2)a " " (iii)`
`N_(2)=m_(2)g cos alpha " " (iv) `


Solving these four equations for N
`N=((K_(1)-K_(2)))/(m_(1)+m_(2))m_(1)m_(2)g cos alpha`.