The three flat blocks in the figure are positionedon the 30 ^(@)incline anda force parallel to the inclined plane is applied tothe middle block . The upper block is prevented from moving by a wire which attaches it to the fixed support . The coefficient of static friction for each of the three pairs ofcontact surfaces is shwon in the figure . Determine the maximum value which P may have before any slipping takes place .

The three flat blocks in the figure are positionedon the 30 ^(@)inclin

1.	The three flat blocks in the figure are positionedon the 30 ^(@)incline anda force parallel to the inclined plane is applied tothe middle block . The upper block is prevented from moving by a wire which attaches it to the fixed support . The coefficient of static friction for each of the three pairs ofcontact surfaces is shwon in the figure . Determine the maximum value which P may have before any slipping takes place .
Answer» SOLUTION : F.B.D of `m_(2)` `P+ M_(2) G "sin" theta= mu_(1) N_(1) + mu_(2) N_(2)` `P M_(2) g "sin" theta = mu_(1) M_(1) g "cos" theta + mu_(2) " g cos" theta (M_(1) + M_(2))` By solving this equation , we getvalue of P .