About this previous year paper
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.