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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

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
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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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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