A heavy uniform log of mass M is pulled up an incline surface with the help of two parallel ropes as shown in figure. The ropes are secured at point A and B. The height of the incline is h and its inclination is `theta`.
(a) Find the minimum force `F_(0)` needed to roll the log up the incline.
(b) Find the work done by the force in moving the log from the bottom to the top of the incline if the applied force is `F = 2F_(0)`

Answer

(a) `F_(0) = (mg sin theta)/(4)`
(b) `2 Mgh