Help with friction!

[sajib_mostofa]

A mass of 100kg is supported on a rough plane inclined at 30^o to the horizontal by a rope inclined at 45^o to the horizontal. If the coefficient of friction is 0.25, find the greatest and least tensions of the rope consistent with equilibrium

[Mao]

Assume it is at the point of slipping down the plane,

Perpendicular:
T sin 15 + N = 100 g cos 30

Parallel:
0.25 N + 100 g sin 30 = T cos 15


If it is about to slip up the plane

Perpendicular:
T sin 15 + N = 100 g cos 30

Parallel:
100 g sin 30 = T cos 15 + 0.25 N

[sajib_mostofa]

Thanks man