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

The Coriolis force is given by: 2m v × ω = [2m v i × ω j = 2mvω k
The Coriolis force leads to another couple about the positive ‘x-axis’, where, the reactions on the
inner wheels are increased and that of the outer wheels are decreases. Mathematically, from
[Fig 2.77], we have:

[Fig 2.77: Force on the CG of the toy car]

Reaction on (wheel 1) is given by:

2
mg mω r ∗ h 2mvω ∗ h
= − CG CG + CG
4 2b 2a
Reaction on (wheel 2) is given by:

2
mg mω r ∗ h CG 2mvω ∗ h CG
CG
= + +
4 2b 2a
Reaction on (wheel 3) is given by:

2
mg mω r ∗ h 2mvω ∗ h
= + CG CG − CG
4 2b 2a
Reaction on (wheel 4) is given by:

2
mg mω r ∗ h 2mvω ∗ h
= − CG CG − CG
4 2b 2a
It can be observed form the wheel reactions that the (wheel 2) is the worst loaded and (wheel 4) is
the least loaded.

Page 88 QP No. SSC/Q4401, Version 1.0, NSQF Level 7, Compliant with Aero and Auto Industries,