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

Two masses m_(1)kg and m_(2)kg passes over a pulley. Find the ratio of

1.	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
Answer» <html><body><p> </p>Solution :From the ideas of laws of motion, for the <a href="https://interviewquestions.tuteehub.com/tag/two-714195" style="font-weight:bold;" target="_blank" title="Click to know more about TWO">TWO</a> masses, `m_(1)g-T_(1)=M_(1)a........(1)` <br/> and `T_(<a href="https://interviewquestions.tuteehub.com/tag/2-283658" style="font-weight:bold;" target="_blank" title="Click to know more about 2">2</a>)-m_(2)g=m_(2)a.......(2)` <br/> and if string <a href="https://interviewquestions.tuteehub.com/tag/starts-1224822" style="font-weight:bold;" target="_blank" title="Click to know more about STARTS">STARTS</a> slipping we have `T_(1)=T_(2)e^(mupi)`<br/> <a href="https://interviewquestions.tuteehub.com/tag/solving-1217196" style="font-weight:bold;" target="_blank" title="Click to know more about SOLVING">SOLVING</a> the above equations<br/> `m_(1)(g-a)=m_(2)(g+a)e^(mupi)`<br/> if string just slipps we can use a=0, <a href="https://interviewquestions.tuteehub.com/tag/thus-2307358" style="font-weight:bold;" target="_blank" title="Click to know more about THUS">THUS</a> we have `m_(1)/m_(2)=e^(0.2pi)`</body></html>