1.

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

Answer»

Solution :`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`.


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