A beam whose centre of gravity divides it into two portions, a and b, is placed inside a smooth sphere; show that, if 0 be its inclination to the horizon in the position of equilibrium and 2a be the angle subtended by the beam at the centre of the sphere, thom b - a tan 0 = tan a. b + a
A beam whose centre of gravity divides it into two portions, a and b, is placed inside a smooth sphere; show that, if 0 be its inclination to the horizon in the position of equilibrium and 2a be the angle subtended by the beam at the centre of the sphere, thom b - a tan 0 = tan a. b + a
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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Transcribed Image Text:A beam whose centre of gravity divides it into two portions, a and
b, is placed inside a smooth sphere; show that, if 0 be its inclination to the horizon
in the position of equilibrium and 2a be the angle subtended by the beam at the
centre of the sphere, thom
b - a
tan Ө —
tan a.
b + a
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