Supposing we have a uniformly mass distributed hemisphere of some radius, so what will be direction of gravitational field throughout the flat surface of hemisphere? And why?
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$\begingroup$ Related: en.wikipedia.org/wiki/Centers_of_gravity_in_non-uniform_fields $\endgroup$– Qmechanic ♦Nov 14, 2014 at 16:33
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In the flat, you will feel it falls down the mountain side to the center Due the direction of gravity would be at the center of mass.
A picture is worth a thousand words.
In a uniformly mass distributed hemisphere of radius r, the center of mass is given by geometric centroid. The geometric centroid of an heisphere is then given by 3/8 * r
answered Nov 14, 2014 at 15:42
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1$\begingroup$ You're assuming that the direction of the gravitational acceleration always points towards the centre of mass, and in general this is not true. $\endgroup$ Nov 14, 2014 at 17:36