Two masses `m_(1)`kg and `m_(2)`kg passes over a pulley. Find the ratio of the masses `m_(1) and m_(2)` so that string passes over the pulley will just start slipping over is surface. The friction coefficient between the string and pulley surface is 0.2

Explanation

From the ideas of laws of motion, for the two masses, `m_(1)g-T_(1)=M_(1)a........(1)`
and `T_(2)-m_(2)g=m_(2)a.......(2)`
and if string starts slipping we have `T_(1)=T_(2)e^(mupi)`
solving the above equations
`m_(1)(g-a)=m_(2)(g+a)e^(mupi)`
if string just slipps we can use a=0, thus we have `m_(1)/m_(2)=e^(0.2pi)`