Analytical mechanics for students of physics and engineering (1913)
Dadourian, Haroutune Mugurditch, 1878- · New York, D. Van Nostrand company · leaf 163
of an octant of a homogeneous sphere,(a) Suppose the bounding surfaces to be x^ + y^ + z^ = a^, X = 0, y = 0, and 2 = 0.Then the Umits of integration are X = 0 and x = a, y = 0 and y = Va^ — x^, g = 0 and z = ^/a — x^ — y\ Therefore j ( xdxdydz I i dxdy dz a Jq J 0 3a and by symmetry y = z = -^• 8… … Fig. 81. <^ = 0 and (^ = |. Therefore r C C r^ sva^e cos d>drdBdd> *^o Jq Jq TT IT J^ J^ (rsin ddrdBd^3a [x = rsinOcosi^l. CENTER OF MASS AND MOMENT OF INERTIA 149 2. Find the center of mass of a right circular cone whose densityvaries inversely as the square of the distance from the apex,…
Mechanics, Analytic
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