A block with mass `m_(1)` is placed on an inclined plane with slope angle `alpha` and is connected to a second hunging block with mass `m_(2)` by a cord passing over a small . Friction less pulley as shown in fig 7.247 . The coefficient of static friction is `mu_(2)` and the coefficient of kinetic friction is `mu_(s)`

a. Find the mass `m_(2)` for which block `m_(1)` moves up plane at constant speed once it is set in motion
b. Find the mass `m_(2)` for which block `m_(1)` moves down the plane at constant speed once it is set in motion
c.For what range of `m_(2)` will the blocks remain at rest if they are released from rest?

Answer

`m_(1) sin theta +mu_(k)m_(1) cos theta, m_(1) sin theta - mu_(k)m_(1) cos theta`