A uniform cube of mass M and side length a is placed at rest at the edge of a table. With half of the cube overhanging from the table, the cube begins to roll off the edge. There is sufficient friction at the edge so that the cube does not slip at the edge of the table. Find -
(a) the angle `theta_(0)` through which the cube rotates before it leaves contact with the table.
(b) the speed of the centre of the cube at the instant it breaks off the table.
(c) the rotational kinetic energy of the cube at the instant its face AB becomes horizontal.

Answer

(a) `cos^(-1) ((6)/(11))`
(b) `sqrt((3ga)/(11))`
(c) `(mga)/(11)`