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Document Title
Fundamentals of Stress and Vibration 2. Engineering Mechanics Chapter
[A Practical guide for aspiring Designers / Analysts]
‘Ž—–‹‘ ͸ǣ •‹ ‡ –Š‡ ’”‘Œ‡ –‹Ž‡ Šƒ• Ž‹‡ƒ” ˜‡Ž‘ ‹–› ‘’‘‡–• ‹ –Š‡ Ǯœǯ ƒ† Ǯšǯ †‹”‡ –‹‘•ǡ –Š‡
‘”‹‘Ž‹• ‘’‘‡– ‘‡• ‹–‘ ’‹ –—”‡ „‡ ƒ—•‡ ‘‡ ‘ˆ –Š‡ ‘’‘‡–• ‘ˆ –Š‡ ƒ”–Šǯ• ƒ‰—Žƒ”
˜‡Ž‘ ‹–› ‹• ’‡”’‡†‹ —Žƒ” –‘ –Š‡ ’Žƒ‡ ‘ˆ –Š‡ ’”‘Œ‡ –‹Ž‡ ƒ† –Š‡ ‘–Š‡” ‘’‘‡– ‹• ‹ –Š‡ ’Žƒ‡ ‘ˆ
–Š‡ ’”‘Œ‡ –‹Ž‡ „—– ’‡”’‡†‹ —Žƒ” –‘ –Š‡ Š‘”‹œ‘–ƒŽ ‘’‘‡– ‘ˆ –Š‡ ’”‘Œ‡ –‹Ž‡ǡ ƒ• •Š‘™ ‹
ȏ ‹‰ ʹǤʹͶȐǤ

[Fig 2.24: local axis of the missile on the surface of the earth]

Š‡ ƒ”–Šǯ• ƒ‰—Žƒ” ˜‡Ž‘ ‹–› ‹• •’Ž‹– ƒŽ‘‰ –Š‡ Ǯœǯ ƒ† Ǯ›ǯ ƒš‡• ”‡•’‡ –‹˜‡Ž›ǡ ƒ† –Š‡ ˜‡Ž‘ ‹–›
‘’‘‡–• ‘ˆ –Š‡ ’”‘Œ‡ –‹Ž‡ ƒ”‡ •Š‘™ ‹ ȏ ‹‰ ʹǤʹͷ ƒ Ƭ „ȐǤ

[Fig 2.25: components of angular and projectile velocities]

From the [Fig 2.24 & 2.25] the Coriolis force is given by:

i j k
2m v × ω = 2m v cosθ 0 v sin θ
0 ω sinθ ω cos θ

QP No. SSC/Q4401, Version 1.0, NSQF Level 7, Compliant with Aero and Auto Industries, P
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Copyright Diary No – 9119/2018-CO/L