Analytical mechanics for students of physics and engineering (1913)
Dadourian, Haroutune Mugurditch, 1878- · New York, D. Van Nostrand Company · leaf 165
f a homogeneous sphere,(a) Suppose the bounding surfaces to be x2 + if + z*- = a-, x = 0, y = 0, and z = 0.Then the limits of integration are x = 0 and x = a. Therefore y = 0 and y = Vo* — x1,z = 0 and z = y/a- — x2 — \ j x c/x d# dz j _ ^o •o Jo f f f dxdyda •O •O -^ 0 = 3a * 8 and by symmetry y =… … Fig. 81. 0 and C C f V sin2 0 cos0 rir rid d<j>Therefore x = °x ny ° [x = r sin 6 cos0] f f Cr-smdrirridri<p Jo Jo Jo 8 CENTER OF MASS AND MOMENT OF INERTIA 149 2. Find the center of mass of a righl circular cone whose densityvaries inversely as the square of the distance from the apex,…
Mechanics, Analytic
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