(SEM IV) THEORY EXAMINATION 2022-23 ENGINEERING MECHANICS

SECTION A – What These Questions Are About

This section contains 10 short theory questions, each carrying 2 marks.
These questions check your basic understanding of fundamental concepts of Engineering Mechanics.

What topics these questions come from:

D’Alembert’s Principle → From dynamics; converts a dynamic system into static equilibrium by introducing inertia force.

Moment of inertia → From the chapter on rotational mechanics; measure of area/mass distribution.

Types of beams → From structural mechanics; simply supported, cantilever, overhanging, fixed beams etc.

Method of joints → From truss analysis; used to find forces in truss members.

Perpendicular & Parallel Axis Theorem → From moment of inertia of composite sections.

Normal & Shear Stress → From strength of materials; stress due to axial and tangential forces.

Collinear vs Concurrent forces → From statics; classification of force systems.

Types of coplanar forces → Coplanar concurrent, non-concurrent, parallel and general force systems.

Law of conservation of momentum → From dynamics and impact problems.

Centroid vs Center of Gravity → From engineering drawing and mechanics of solids.

Purpose of Section A:
To test whether the student knows the definitions, differences, principles and basic mechanics terminology.

SECTION B – What These Questions Are About

This section contains numerical and derivation-based questions, from which any 3 must be answered.
Each question carries 10 marks and requires detailed mechanical analysis.

What topics these questions cover:

Axial loading on composite bar → Find stress and total extension using σ = P/A and δ = PL/AE.

Cantilever truss forces → Use method of joints or sections to find member forces.

Moment of inertia of T-section → Use composite area method, CG location, and parallel axis theorem.

Uniform acceleration → Kinematics equations, finding acceleration and velocity using s = ut + ½at².

Bending equation derivation → Pure bending theory, assumptions, relation: M/I = σ/Y = E/R.

Purpose of Section B:
To test problem-solving ability, correct application of formulas, and ability to handle engineering numerical calculations.

SECTION C – What These Questions Are About

Section C includes advanced application-based problems, requiring deeper reasoning and multi-concept understanding.
You need to answer any one from each pair of questions.

Topics included:

Ladder friction problem → Uses static equilibrium with friction at both wall and floor.

Pull/push friction comparison → Use horizontal & vertical force components; compute weight and friction coefficient.

Moment of inertia of complex shape → About horizontal axis through centroid using decomposition of shapes.

Centroid of shaded area → Calculate x̄ and ȳ using area moments.

Cantilever truss forces → Determine axial forces in each member.

Shear Force Diagram (SFD) & Bending Moment Diagram (BMD) → For the given loaded beam.

Two mass system with friction → Apply D’Alembert's principle and compute acceleration & tension.

Impact of two bodies → Use coefficient of restitution, final velocities, impulse, and loss in kinetic energy.

Power transmitted by shaft → Use torsion formula to compute minimum diameter.

Bending stress in beam → Use bending formula σ = My/I for simply supported beam with point load.

Purpose of Section C:
To evaluate whether the student can apply mechanics concepts such as friction, centroid, moment of inertia, bending, impact and torsion to real engineering problems.

SUMMARY OF WHAT THIS QUESTION PAPER COVERS

Statics: forces, friction, trusses, equilibrium

Dynamics: impact, motion, D’Alembert’s principle

Strength of Materials: bending, torsion, stresses

Structural Analysis: beams, SFD/BMD, centroid, MOI

Kinematics: velocity, acceleration

This paper tests both theory + numerical problem solving, reflecting the full syllabus of Engineering Mechanics.
It matches the uploaded PDF exactly