THEORY EXAMINATION (SEM–II) 2016-17 ENGINEERING MECHANICS

This question paper evaluates fundamental concepts of Engineering Mechanics, including force systems, friction, trusses, centre of gravity, moments of inertia, motion, bending, and structural analysis.
It is divided into three sections testing definitions, numerical problem-solving, and diagram-based analysis.

SECTION – A (10 × 2 = 20 Marks)

This section contains ten short questions based on basic concepts and definitions.
Topics include:

Coplanar concurrent forces

Polygon law of forces

Coulomb’s law of friction

Parallel axis theorem

Methods of truss analysis

Perfect, imperfect & redundant trusses

C.G. of cone and hemisphere

Ductile vs brittle materials

Coefficient of friction

Shear force vs bending moment

This section checks fundamental understanding and clarity of principles.

SECTION – B (5 × 10 = 50 Marks)

Students must attempt any five medium-length numerical and theoretical questions.
Topics include:

Resultant of two forces when resultant is perpendicular to one of them

Frictional conditions for two connected blocks on an inclined plane

Reaction forces for two cylinders in a trough

Mass moment of inertia of a solid cone

Motion of two balls (one dropped, one thrown upward)

Derivation of bending equation (M/I = σ/y = E/R)

Composite bar deformation to compute Young’s modulus

Motion of block in a friction and pulley system

This section tests analytical mechanics, dynamics, and strength of materials calculations.

SECTION – C (2 × 15 = 30 Marks)

Students must attempt any two long, application-based questions.
Topics include:

SFD & BMD

Drawing Shear Force Diagram (SFD) and Bending Moment Diagram (BMD) for an overhanging beam.

Ladder friction problem

Maximum height a man can climb before ladder slips, considering friction at wall and ground.

Moment of inertia

Computing moment of inertia of a concrete culvert cross-section about its horizontal centroidal axis.

This section evaluates graphical skills, structural analysis, and advanced mechanics concepts.