3. An inclined plane of mass M rests on a rough floor with coefficient of static friction A mass mi is suspended by a string which passes over a smooth peg at the upper end of the incline and attaches to a mass m2 which slides without friction on the incline. The incline makes an angle with the horizontal. m2 smooth plane N' m29 M m mg Mg N rough floor f (a) Show that the accelerations of mi, m2 and the tension in the string are given by T (m - m2 sin 6)g m+m2 mima(1+sin)g m + m (b) Show that the smallest coefficient of friction for which the inclined plane will remain at rest when u is very large is given by "min= m2 cos (m-m2 sin 6) M(m+ma)+mim(1 + sin 0)2 + (my +m2)m2 cos20