. 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, them - a tan e tan a. %3D 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, them - a tan e tan a. %3D b + a

Mathematics For Machine Technology

8th Edition

ISBN:9781337798310

Author:Peterson, John.

Publisher:Peterson, John.

Chapter11: Addition And Subtraction Of Decimal Fractions

Section: Chapter Questions

Problem 18A: Refer to the plate shown in Figure 117 and determine the following distances. All dimensions are in...

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. 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, them
b- a
tan 0 =
tan a.
6 + a

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