(SEM III) THEORY EXAMINATION 2022-23 ENGINEERING MECHANICS

This question paper is divided into three sections (A, B, C) and covers the full syllabus of Engineering Mechanics. The paper evaluates a student’s understanding of statics, dynamics, strength of materials, friction, centroid & moment of inertia, trusses, shear force & bending moment, and related engineering fundamentals. Students are required to attempt all sections, and may assume missing data wherever necessary.

Section A – Short Answer Questions (10 × 2 = 20 Marks)

This section includes ten conceptual questions, each carrying 2 marks.
Topics include:

Types of forces (collinear vs. concurrent)          Impending motion & friction

Perfect vs. imperfect truss                                 Point of contraflexure

Centroid vs. centre of gravity                            Parallel axis theorem

Relative and resultant velocity                          Work-energy equation

Strain energy                                                     Section modulus

These questions test the student’s fundamental concepts and ability to recall important engineering definitions.

Section B – Descriptive / Numerical Questions (Any 3 × 10 = 30 Marks)

This section requires solving three long numerical or descriptive problems from the given five.
Topics include:

Equilibrium of bodies and tension calculation in connected systems

Drawing shear force and bending moment diagrams for beams

Finding centroid of solids (cone)

Friction and string tension in connected mass system

Simple bending theory & bending equation derivation

These questions evaluate a student’s analytical ability, application of mechanics, and diagram representation skills.

Section C – Long Answer / Application-Based Questions (Any 1 from each pair × 10 = 30 Marks)

This section consists of three pairs of advanced questions, each focusing on high-level understanding:

Part 3 (10 marks)

Principles and laws of equilibrium
OR

Numerical problem based on friction on inclined plane

Part 4 (10 marks)

Truss analysis (force in a specific member)
OR

SFD & BMD for a cantilever beam

Part 5 (10 marks)

Centroid of composite shapes (trapezium minus semicircle)
OR

Moment of inertia of a shaded area

Part 6 (10 marks)

Momentum, impact, and friction problem (bullet & block)
OR

Rolling motion and velocity comparison of two discs

Part 7 (10 marks)

Axial loading & elongation of a vertical rod
OR

Torsion of hollow shaft and allowable twist

These questions focus on advanced calculations, reasoning, mechanical design considerations, and conceptual depth.

Overall Summary

This question paper comprehensively assesses both fundamental concepts and numerical problem-solving skills in Engineering Mechanics. It covers all essential areas including force systems, friction, trusses, beams, centroids, moments of inertia, work-energy principles, impact & collision, axial loading, and torsion.

The structure ensures balanced evaluation of:

Theory (definitions and laws)

Diagrams (SFD, BMD, trusses)

Numerical problem solving

Engineering application understanding