Q: A portable lamp consists of a uniform circular base with a perp pole through its centre. Its centre of mass is at a height h above its base. When it is placed on a sloping ramp, it is on the point of both sliding and toppling. A force is now applied parallel to the ramp to try to push it up the slope. Show that, if the lamp is to slide rather than topple, the force must be applied below the level of the centre of mass.

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