Ex. 1. A solid sphere moves through quiescent frictionless liquid ose boundaries are at a distance from it great compared with its radius. ove that at each instant the motion in the liquid depends only on the sition and velocity of the sphere at that instant. Prove that the liquid zams past the sides of the sphere with half the velocity of the ant

Advanced Engineering Mathematics
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Chapter2: Second-order Linear Odes
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Ex. 1. A solid sphere moves through quiescent frictionless liquid
whose boundaries are at a distance from it great compared with its radius.
Prove that at each instant the motion in the liquid depends only on the
position and velocity of the sphere at that instant. Prove that the liquid
streams past the sides of the sphere with half the velocity of the sphere.
Transcribed Image Text:Ex. 1. A solid sphere moves through quiescent frictionless liquid whose boundaries are at a distance from it great compared with its radius. Prove that at each instant the motion in the liquid depends only on the position and velocity of the sphere at that instant. Prove that the liquid streams past the sides of the sphere with half the velocity of the sphere.
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