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

mg
Each wheel sees a reaction due to self weight gravitational force .
4
The centrifugal force causes an additional load on the front wheels and reduces the pressure on
the rear wheels. This is because, the centrifugal force, through the CG of the toy car, causes a
couple in the clockwise direction about the ‘z-axis’. This couple is balanced by the couple due to
reaction on the wheels, as shown in [Fig 2.76]. Mathematically we have:

2
mω r CG ∗ h CG
2
R ∗ b = mω r ∗ h , therefore, we have: R =
CG
CG
b
This reaction adds on to the gravity component of the front wheel and is subtracted from that of
the rear wheel.
The net reaction is therefore given by:

2
mg mω r ∗ h CG
CG
Net reaction on each of the rear wheels = −
4 2b
2
mg mω r CG ∗ h CG
Net reaction on each of the front wheels = +
4 2b

[Fig 2.76: forces acting on CG of the toy car]

QP No. SSC/Q4401, Version 1.0, NSQF Level 7, Compliant with Aero and Auto Industries, Page 87 age 87
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