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Document Title
Fundamentals of Stress and Vibration 2. Engineering Mechanics Chapter
[A Practical guide for aspiring Designers / Analysts]

Component Description Mass moment of inertia

Sphere: A sphere is absolutely symmetric and Solid Sphere:
the inertia about any axis through the

CG is constant.
CG

Thin Spherical shell:

Cube: A cube has 13 axes of rotational
symmetry. Here, we have considered
a
cartesian axes, about all of which,
CG a inertia is the same.

a

ʹǤ͸Ǥ͵ ƒ•• ‘‡– ‘ˆ ‡”–‹ƒ ‡•‘”

 ‡ Šƒ‹ ƒŽ ƒ••‡„Ž‹‡•ǡ –Š‡ ”‹‰‹† ‡„‡”• ƒ „‡ ‘”‹‡–‡† ƒ”„‹–”ƒ”‹Ž› ȋ‘– ƒŽ‹‰‡† ™‹–Š –Š‡
•–ƒ†ƒ”† ƒš‡•ȌǤ ‘ ˆƒ ‹Ž‹–ƒ–‡ ƒ †‡–ƒ‹Ž‡† —†‡”•–ƒ†‹‰ ƒ• –‘ Š‘™ –Š‡ ˜ƒŽ—‡ ‘ˆ ‹‡”–‹ƒ ‘—Ž† „‡ ˆ‘—†
ƒ„‘—– ƒ ‰‡‡”ƒŽ ƒš‹•ǡ ™‡ ‡‡† –‘ —†‡”•–ƒ† –Š‡ ’”‘’‡”–‹‡• ‘ˆ –Š‡ ‹‡”–‹ƒ –‡•‘” ƒ† –Š‡ ‹‡”–‹ƒ
–‡•‘” ‹–•‡Žˆ ˆ‘” ƒ ”‹‰‹† „‘†›Ǥ

‡– —• ‘•‹†‡” ƒ „ƒ” ‹ Ž‹‡† ƒ– ƒ ƒ‰Ž‡ –‘ –Š‡ Ǯ›-ƒš‹•ǯǡ ™Š‹ Š ‹• ƒŽ•‘ –Š‡ ƒš‹• ‘ˆ ”‘–ƒ–‹‘ǡ ƒ• •Š‘™
‹ ȏ ‹‰ ʹǤ͵͸ȐǤ

[Fig 2.36: an inclined rod accelerated about the 'y-axis']

QP No. SSC/Q4401, Version 1.0, NSQF Level 7, Compliant with Aero and Auto Industries, P
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