8. Find the centre of mass of the solid bounded above by the sphere p< 1 and below by the cone o< n/3.with constant density.p cos 0 sin ø, y = p sin 0 sin o z = p cos o(z, у, 2) —> (р, 0, Ф)x =MD.Sphere p = 1TTCone o =3R

The center of mass will lie on z axis. So, using integration the center of mass is at:…

8. Find the centre of mass of the solid bounded above by the sphere p<1 and below by the cone ø< n/3. with constant density. y = p sin 0 sin ø z= pcos o x = p cos 0 sin ø, (x, y, z) → (p, 0, ø) M D Sphere p = 1 Cone o = 3 R

8. Find the centre of mass of the solid bounded above by the sphere p<1 and below by the cone ø< n/3. with constant density. y = p sin 0 sin ø z= pcos o x = p cos 0 sin ø, (x, y, z) → (p, 0, ø) M D Sphere p = 1 Cone o = 3 R

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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Question

8. Find the centre of mass of the solid bounded above by the sphere p< 1 and below by the cone o< n/3.
with constant density.
p cos 0 sin ø, y = p sin 0 sin o z = p cos o
(z, у, 2) —> (р, 0, Ф)
x =
M
D.
Sphere p = 1
TT
Cone o =
3
R

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