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

2.3 Practical Value Addition

Ø Units and dimensions
This chapter helps establish equations of physics for various engineering situations.
This chapter also emphasizes the need for conversion of units and its correctness from
the engineering simulation perspective.
Significant Practical Application: Analysis of windmill

Ø Equations of motion
This chapter treats equations of motion from an engineering perspective. Example, the fact
that, the equations of motion are fundamental in the explicit and implicit dynamic analyses,
is given a detailed discussion. Also, facts such as, the effect of Coriolis force on the target of
a missile, the analysis of stopping distance of a vehicle, optimization of projectile path and
others are discussed in detail.
Significant Practical Application: Optimization of projectile path and analysis of
stopping distance of cars.

Ø Dynamic analysis
In this chapter basic conservation laws of energy and momentum are well exploited.
Concepts of moment of momentum, rate of change of angular momentum and resulting Gyro
and Coriolis effects are given a detailed treatment. The chapter provides enough clarity on
rolling and sliding friction. Concept of rolling is covered in its entirety. Curvilinear motion is
given a detailed discussion via vectors. The highlight of the chapter is the clarity and
visualization given to the concept of mass moment of inertia matrix for 3D objects. This is
significant not just for mechanics, but, even vibrations, rotor-dynamics and other
applications.
Significant Practical Application: Generalized treatment of a toy car subjected to
several dynamic forces.

Ø Free body diagram
The chapter deals with all the rules of constructing FBD for both dynamic and static
situations. The rules cover, contact forces, Pseudo forces and Joints (welded, bolted and
hinged).
Significant Practical Application: Rotating overhung shaft system with Gyro effect.

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