Isometric to orthographic views i.e. drawing front view top view and side views of these figures.All figures from previous year questions. directly 15marks
part-I
Saturday, January 22, 2011
Isometric to Orthographic views
Isometric to orthographic views i.e. drawing front view top view and side views of these figures.All figures from previous year questions. directly 15marks
part-I
DRAWING UNIT I -CONIC SECTIONS PREVIOUS QUESTIONS
The distance between the directrix and the focus of a parabola is 50 mm. Draw the curve. Draw a tangent and normal at a point of the curve 100 mm from the directrix.
A stone thrown from the ground reaches a maximum height of 40 mm falls on to the ground at a distance of 100 m from the point of projection. Trace the path of the stone in space.
A stone is thrown from a 7 m high building, and at its highest flight the stone just crosses a 14 m high palm tree. Trace the path of the stone till it touches the ground. The distance between the building and the palm tree is 4 m.
The distance between the vertices of two branches of a hyperbola is 60 mm. The asymptotes of the curve are inclined at 600 to the transverse axis. Construct the hyperbola.
The distance between the vertices of two branches of a hyperbola is 120 mm. The distance between the vertex and a double ordinate of length 140 mm is 50 mm. Construct the hyperbola. What is the distance between the vertex and the focus?
The ordinate of a point P on the curve is 40 mm and is at a distance of 20 mm from the vertex. Draw the parabola
Draw a straight line AB of any length. Mark a point F, 75 mm from AB. Trace the paths of a point P moving in such a way that the ratio of its distance from the point F, to its distance from AB is 3:2. Plot at least 8 points. Name the curve. Draw a normal and a tangent to each curve at a point on it, 50mm from F.
Draw an ellipse by focus-directrix method when the distance of the focus from the directrix is equal to 60 mm and the eccentricity is 2/3.
In a triangle ABC, AB, AC, and BC are 100 mm, 55 mm and 70 mm respectively. Draw an ellipse and that A and B are foci, and C is a point on the curve. Find directrix and eccentricity of ellipse
Draw a parabola having a base of 80 mm and an axis equal to 80 mm by the tangent method.
A fixed point is 80 mm from a fixed straight line. Draw the locus of a point P moving in such a way that its distance from the fixed straight line is twice its distance from the fixed point. Name the curve.
The major axis of an ellipse is 150 mm long and the minor axis is 100 mm long. Find the foci and draw the ellipse by ‘arcs of circles’ method. Draw a tangent to the ellipse at a point on it 25 mm above the major axis.
Two points A and B are 100mm apart. A point C is 75 mm from A and 60 mm from B. Draw an ellipse passing through A, B and C.
Draw a rectangle having its sides 125 mm and 75 mm long. Inscribe two parabolas in it with their axis bisecting each other and having common axis.
Two straight lines OA and OB make an angle of 750 between them. P is a point 40 mm from OA and 50 mm from OB. Draw a hyperbola through P, with OA and OB as asymptotes, making at least ten points
The major axis of an ellipse is 150mm long with P as its mid point. The foci of ellipse are 50mm away from mid point .Draw the ellipse.
The vertex of a hyperbola is 80mm from its focus. Draw the curve if the centricity is 4/3. Draw a normal and tangent at a point on the curve, 75mm from the directrix.
A ball hit by a bat travels a distance of 100meters with a height of 50meters.Trace the path of the ball.
The major axis of an ellipse is 200mm long and the minor axis is 150mm long. Find the foci and draw the ellipse by concentric circles method
In a triangle ABC; AB, AC and BC are 75 mm, 60 mm and 50 mm respectively. Draw an ellipse such that A and B are the foci and C is a point on the curve.
A fixed point is at 50 mm from a fixed straight line. Draw the curves when eccentricity is
(a) 1 and
(b) 3/2
Name the curves. Draw tangents and normals to the curves through a point P, 60mm from the straight line.
Construct a rectangular hyperbola, when a point P on it is at a distance 30 mm and 40 mm from two asymptotes. Also, draw a tangent to the curve at a point 35 mm from an asymptotes.
First Year Engineering Drawing & Engineering Mechanics External Question Papers
1 . FIRST YEAR ENGINEERING DRAWING 2010 PAPERS
2. ENGINEERING DRAWING PREVIOUS YEAR PAPERS(2002-2009)
3 . NOV_DEC2010SUPPLY DRAWING PAPER
4. 2010 Engineering Mechanics
5. Engineering Drawing Class Test Model Papers
Click the links to download question papers from MediaFire both 2010papers and previous 2002 to 2009 till date papers
2. ENGINEERING DRAWING PREVIOUS YEAR PAPERS(2002-2009)
3 . NOV_DEC2010SUPPLY DRAWING PAPER
4. 2010 Engineering Mechanics
5. Engineering Drawing Class Test Model Papers
Click the links to download question papers from MediaFire both 2010papers and previous 2002 to 2009 till date papers
Monday, December 20, 2010
GATE EXAM PATTERN 4 ALL
Q.1 to Q.25: Will carry one mark each (sub-total 25 marks).
1/3 mark will be deducted for each wrong answer.
Q.26 to Q.55: Will carry two marks each (sub-total 60 marks)
2/3 mark will be deducted for each wrong answer.
Q.48 through Q.51 (2 pairs) will be common data questions.
Each question will carry two marks
2/3 mark will be deducted for each wrong answer.
Question pairs (Q.52, Q.53) and (Q.54, Q.55) will be linked answer questions.
The answer to the second question of the last two pairs will depend on the answer to the first question of the pair.
If the first question in the linked pair is wrongly answered or is un-attempted, then the answer to the second question in the pair will not be evaluated. Each question will carry two marks
There will be negative marks only for wrong answer to the first question of the linked answer question pair i.e. for
Q.52 and Q.54, 2/3 mark will be deducted for each wrong answer.
There is no negative marking for Q.53 and Q.55.
Q.56 to Q.60 : From General Aptitude (GA) will carry one mark each (sub-total 5 marks).
1/3 mark will be deducted for each wrong answer.
Q.61 to Q.65 : From GA will carry two marks each (sub-total 10 marks)
2/3 mark will be deducted for each wrong answer.
All the papers will contain few questions on Engineering Mathematics carrying 15 marks.
1/3 mark will be deducted for each wrong answer.
Q.26 to Q.55: Will carry two marks each (sub-total 60 marks)
2/3 mark will be deducted for each wrong answer.
Q.48 through Q.51 (2 pairs) will be common data questions.
Each question will carry two marks
2/3 mark will be deducted for each wrong answer.
Question pairs (Q.52, Q.53) and (Q.54, Q.55) will be linked answer questions.
The answer to the second question of the last two pairs will depend on the answer to the first question of the pair.
If the first question in the linked pair is wrongly answered or is un-attempted, then the answer to the second question in the pair will not be evaluated. Each question will carry two marks
There will be negative marks only for wrong answer to the first question of the linked answer question pair i.e. for
Q.52 and Q.54, 2/3 mark will be deducted for each wrong answer.
There is no negative marking for Q.53 and Q.55.
Q.56 to Q.60 : From General Aptitude (GA) will carry one mark each (sub-total 5 marks).
1/3 mark will be deducted for each wrong answer.
Q.61 to Q.65 : From GA will carry two marks each (sub-total 10 marks)
2/3 mark will be deducted for each wrong answer.
All the papers will contain few questions on Engineering Mathematics carrying 15 marks.
GATE SYLLABUS FOR MECHANICAL
APPLIED MECHANICS AND DESIGN
(1) Engineering Mechanics:
Equivalent force systems, free-body concepts, equations of equilibrium, trusses and frames, virtual work and minimum potential energy. Kinematics and dynamics of particles and rigid bodies, impulse and momentum , energy methods, central force motion.
(2) Strength of Materials:
Stress and strain, Elastic constants, stress-strain relationship, Mohr's circle, deflection of beams, bending and shear stress, shear force and bending moment diagrams, torsion of circular shafts, thin thick cylinders, Euler's theory of columns, strain energy methods, thermal stress.
(3) Theory of machines:
Analysis of plane mechanisms, dynamic analysis of slider-crank mechanism, planer cams and followers, gear tooth profiles, kinematics and design of gears, governors and flywheels, balancing of reciprocating and rotating masses.
(4) Vibrations:
Free and forced vibrations of single degree freedom systems, effect of damping, vibration isolation, resonance, critical speed shafts.
(5) Design of Machine Elements:
Designing for statics and dynamic loading, fatigue strength, failure theories, design of bolted, riveted and welded joints, design of shafts and keys, design of spur gears, brakes and clutches, rolling and sliding contact bearings , belt, ropes and chain drives.
THERMAL SCIENCE AND ENGINEERING
(1) Fluid Mechanics:
Fluid properties, fluid statics, manometer, buoyancy, control-volume analysis of mass, momentum and energy, fluid acceleration, differential equation of continuity and momentum. Bernouli's equation. Viscous flow of incompressible fluids; boundary layer, flow through pipes, head losses in pipes, bends etc.
(2) Turbo machines:
velocity triangles Euler's equation, specific speed, Pelton wheel, centrifugal pump, Francis and Kaplan turbines.
(3) Heat-Transfer:
Modes of heat transfer, one dimensional heat conduction, resistance concept, electrical analogy, unsteady heat conduction, fins, dimensionless parameters in free and forced convective heat layer, effect of turbulence, radiative heat transfer, black and Grey surfaces shape factors, network analysis, heat exchanger performance, LMTD and NTU methods.
(4) Thermodynamics:
Zeroth, fact and second laws of thermodynamics, thermodynamic system and processes, irreversibility and availability, behavior of ideal and real gases, properties of pure substances, calculation of work and heat in ideal processes. Analysis of thermodynamics cycles related to energy conversion. Carnot, Rankine, Otto, Diesel, Brayton and Vapour compression cycle.
(5) Steam engineering:
Steam generators, Steam engines, steam turbines-impulse and reaction, velocity diagrams, compounding, reheat factor.
(6) I.C. Engines:
Requirements and suitability of fuels in IC engines, fuel ratings, fuel- air mixture requirements, normal combustion in SI and CI engines, engine performance calculations, components of gas turbine.
(7) Reciprocating Air Compressor:
Isothermal, adiabatic and polytropic compression, staging the compression process, inter cooling and after cooling, minimum work requirement, volumetric efficiency. Centrifugal and axial flow compressors.
(8) Refrigeration and air-conditioning:
Refrigerant compressors, expansion devices, condensers and evaporators, properties of moist air, psychometric chart, basic psychometric processes.
MANUFACTURING AND INDUSTRIAL ENGINEERING
(1) Engineering materials:
Structure and properties of engineering materials and their applications, heat treatment.
(2) Metal casting:
Casting processes- pattern making, moulds and cores, solidification, design of casting, casting defects.
(3) Metal working:
Stress-strain diagrams for ductile and brittle material, plastic deformation, mechanisms, fundamentals of hot and cold working processes-forging, extrusion, wire drawing, sheet metal working, punching, blanking, bending, deep drawing, coining and spinning.
(4) Machining Processes and Machine Tool Operation:
Mechanics of metal cutting, single and multipoint cutting tools, geometry and machining aspects, tool life, machinability, economics of machining, non- traditional machining processes.
(5) Metrology and Inspection:
Limits, fits and tolerances, linear and angular measurements, comparators, gauge design interferometry,form and finish measurement, measurement of screw threads, alignment and testing methods.
(6) Tool Engineering:
Principles of work holding, design of jigs and fixtures, design of press working tools.
(7) Manufacturing Analysis:
Part-print analysis, tolerance analysis in manufactureing and assembly, time and cost analysis.
(8) Computer Integrated Manufacturing:
Basic concepts of CAD, CAM , Group technology.
(9) Work Study:
Method study, work measurement time study, work sampling, job evaluation, merit rating.
(10) Production planning and control:
Forecasting models, aggregate production planning, master scheduling, materials requirements planning.
(11) Inventory control:
Deterministic and probabilistic models, safety stock inventory control systems.
(12) Operations Research:
Linear programming, simplex and duplex method, transportation, assignment, network flow models, simple queuing models, PERT and CPM.
ENGINEERING MATHEMATICS
(1) Linear Algebra:
Algebra of matrices, system of linear equations, eigen values and eigen vectors
(2) Calculus:
Taylor series, fourier series, partial derivatives, total derivatives, definite and improper integrals, multiple integrals
(3) Vector Calculus:
Gradient, divergence and curl, line and surface integrals, Green, Gauss, and Stokes theorem
(4) Differential Equations:
Linear ODE's, First order non-linear ODE's, initial and boundary value problems, Laplace Transform, PDE's-laplace, wave and diffusion equations.
(5) Numerical methods:
Solution of system of linear equations, interpolation, numerical integration, newton-raphson method, runge-kutta method.
(6) Probability and statics:
Gaussian, Weibul distribution and their properties, method of least squares , regrassion analysis, analysis of variance.
General Aptitude (GA)
Verbal Ability: English grammar, sentence completion, verbal analogies, word groups, instructions, critical reasoning and verbal deduction.
Numerical Ability: Numerical computation, numerical estimation, numerical reasoning and data interpretation.
(1) Engineering Mechanics:
Equivalent force systems, free-body concepts, equations of equilibrium, trusses and frames, virtual work and minimum potential energy. Kinematics and dynamics of particles and rigid bodies, impulse and momentum , energy methods, central force motion.
(2) Strength of Materials:
Stress and strain, Elastic constants, stress-strain relationship, Mohr's circle, deflection of beams, bending and shear stress, shear force and bending moment diagrams, torsion of circular shafts, thin thick cylinders, Euler's theory of columns, strain energy methods, thermal stress.
(3) Theory of machines:
Analysis of plane mechanisms, dynamic analysis of slider-crank mechanism, planer cams and followers, gear tooth profiles, kinematics and design of gears, governors and flywheels, balancing of reciprocating and rotating masses.
(4) Vibrations:
Free and forced vibrations of single degree freedom systems, effect of damping, vibration isolation, resonance, critical speed shafts.
(5) Design of Machine Elements:
Designing for statics and dynamic loading, fatigue strength, failure theories, design of bolted, riveted and welded joints, design of shafts and keys, design of spur gears, brakes and clutches, rolling and sliding contact bearings , belt, ropes and chain drives.
THERMAL SCIENCE AND ENGINEERING
(1) Fluid Mechanics:
Fluid properties, fluid statics, manometer, buoyancy, control-volume analysis of mass, momentum and energy, fluid acceleration, differential equation of continuity and momentum. Bernouli's equation. Viscous flow of incompressible fluids; boundary layer, flow through pipes, head losses in pipes, bends etc.
(2) Turbo machines:
velocity triangles Euler's equation, specific speed, Pelton wheel, centrifugal pump, Francis and Kaplan turbines.
(3) Heat-Transfer:
Modes of heat transfer, one dimensional heat conduction, resistance concept, electrical analogy, unsteady heat conduction, fins, dimensionless parameters in free and forced convective heat layer, effect of turbulence, radiative heat transfer, black and Grey surfaces shape factors, network analysis, heat exchanger performance, LMTD and NTU methods.
(4) Thermodynamics:
Zeroth, fact and second laws of thermodynamics, thermodynamic system and processes, irreversibility and availability, behavior of ideal and real gases, properties of pure substances, calculation of work and heat in ideal processes. Analysis of thermodynamics cycles related to energy conversion. Carnot, Rankine, Otto, Diesel, Brayton and Vapour compression cycle.
(5) Steam engineering:
Steam generators, Steam engines, steam turbines-impulse and reaction, velocity diagrams, compounding, reheat factor.
(6) I.C. Engines:
Requirements and suitability of fuels in IC engines, fuel ratings, fuel- air mixture requirements, normal combustion in SI and CI engines, engine performance calculations, components of gas turbine.
(7) Reciprocating Air Compressor:
Isothermal, adiabatic and polytropic compression, staging the compression process, inter cooling and after cooling, minimum work requirement, volumetric efficiency. Centrifugal and axial flow compressors.
(8) Refrigeration and air-conditioning:
Refrigerant compressors, expansion devices, condensers and evaporators, properties of moist air, psychometric chart, basic psychometric processes.
MANUFACTURING AND INDUSTRIAL ENGINEERING
(1) Engineering materials:
Structure and properties of engineering materials and their applications, heat treatment.
(2) Metal casting:
Casting processes- pattern making, moulds and cores, solidification, design of casting, casting defects.
(3) Metal working:
Stress-strain diagrams for ductile and brittle material, plastic deformation, mechanisms, fundamentals of hot and cold working processes-forging, extrusion, wire drawing, sheet metal working, punching, blanking, bending, deep drawing, coining and spinning.
(4) Machining Processes and Machine Tool Operation:
Mechanics of metal cutting, single and multipoint cutting tools, geometry and machining aspects, tool life, machinability, economics of machining, non- traditional machining processes.
(5) Metrology and Inspection:
Limits, fits and tolerances, linear and angular measurements, comparators, gauge design interferometry,form and finish measurement, measurement of screw threads, alignment and testing methods.
(6) Tool Engineering:
Principles of work holding, design of jigs and fixtures, design of press working tools.
(7) Manufacturing Analysis:
Part-print analysis, tolerance analysis in manufactureing and assembly, time and cost analysis.
(8) Computer Integrated Manufacturing:
Basic concepts of CAD, CAM , Group technology.
(9) Work Study:
Method study, work measurement time study, work sampling, job evaluation, merit rating.
(10) Production planning and control:
Forecasting models, aggregate production planning, master scheduling, materials requirements planning.
(11) Inventory control:
Deterministic and probabilistic models, safety stock inventory control systems.
(12) Operations Research:
Linear programming, simplex and duplex method, transportation, assignment, network flow models, simple queuing models, PERT and CPM.
ENGINEERING MATHEMATICS
(1) Linear Algebra:
Algebra of matrices, system of linear equations, eigen values and eigen vectors
(2) Calculus:
Taylor series, fourier series, partial derivatives, total derivatives, definite and improper integrals, multiple integrals
(3) Vector Calculus:
Gradient, divergence and curl, line and surface integrals, Green, Gauss, and Stokes theorem
(4) Differential Equations:
Linear ODE's, First order non-linear ODE's, initial and boundary value problems, Laplace Transform, PDE's-laplace, wave and diffusion equations.
(5) Numerical methods:
Solution of system of linear equations, interpolation, numerical integration, newton-raphson method, runge-kutta method.
(6) Probability and statics:
Gaussian, Weibul distribution and their properties, method of least squares , regrassion analysis, analysis of variance.
General Aptitude (GA)
Verbal Ability: English grammar, sentence completion, verbal analogies, word groups, instructions, critical reasoning and verbal deduction.
Numerical Ability: Numerical computation, numerical estimation, numerical reasoning and data interpretation.
Monday, December 13, 2010
Engineering Mechanics Objective Links
Mechanics Objective With Answers
Engineering Mechanics 2008 Objective Paper
Engineering Mechanics 2008 Objective Paper - key
Applied Mechanics 2008 Objective Paper
Applied Mechanics 2008 Objective Paper - key
Classical Mechanics 2008 Objective Paper
Classical Mechanics 2008 Objective Paper - key
1.Mechanics Objective Model Papers
Engineering Mechanics 2008 Objective Paper
Engineering Mechanics 2008 Objective Paper - key
Applied Mechanics 2008 Objective Paper
Applied Mechanics 2008 Objective Paper - key
Classical Mechanics 2008 Objective Paper
Classical Mechanics 2008 Objective Paper - key
1.Mechanics Objective Model Papers
Saturday, October 9, 2010
R09 - ENGINEERING MECHANICS
I Year B.Tech.
UNIT – I
Introduction to Engineering. Mechanics – Basic Concepts.
Systems of Forces : Coplanar Concurrent Forces – Components in Space – Resultant – Moment of Force
and its Application – Couples and Resultant of Force Systems.
UNIT – II
Equilibrium of Systems of Forces : Free Body Diagrams, Equations of Equilibrium of Coplanar Systems,
Spatial Systems for concurrent forces. Lamis Theorem, Graphical method for the equilibrium of coplanar
forces, Converse of the law of Triangle of forces, converse of the law of polygon of forces condition of
equilibrium.
UNIT – III
Centroid : Centroids of simple figures (from basic principles ) – Centroids of Composite Figures
Centre of Gravity : Centre of gravity of simple body (from basis principles), centre of gravity of composite
bodies, pappus theorem.
UNIT – IV
Area moment of Inertia : Definition – Polar Moment of Inertia, Transfer Theorem, Moments of Inertia of
Composite Figures, Products of Inertia, Transfer Formula for Product of Inertia.
Mass Moment of Inertia : Moment of Inertia of Masses, Transfer Formula for Mass Moments of Inertia,
mass moment of inertia of composite bodies.
UNIT – V
Analysis of perfect frames ( Analytical Method) – Types of Frames – Assumptions for forces in members of a
perfect frame, Method of joints, Method of sections, Force table, Cantilever Trusses, Structures with one end
hinged and the other freely supported on rollers carrying horizontal or inclined loads.
UNIT – VI
Kinematics : Rectilinear and Curvilinear motions – Velocity and Acceleration – Motion of Rigid Body –
Types and their Analysis in Planar Motion.
Kinetics : Analysis as a Particle and Analysis as a Rigid Body in Translation – Central Force Motion –
Equations of Plane Motion – Fixed Axis Rotation – Rolling Bodies.
UNIT – VII
Work – Energy Method : Equations for Translation, Work-Energy Applications to Particle Motion,
Connected System-Fixed Axis Rotation and Plane Motion. Impulse momentum method.
UNIT – VIII
Principle of virtual work: Equilibrium of ideal systems, efficiency of simple machines, stable and unstable
Equilibriums
TEXT BOOKS :
1. Engineering. Mechanics / Timoshenko & Young.
2. Engineering. Mechanics / S.S. Bhavikatti & J.G. Rajasekharappa
REFERENCES :
1. Engineering Mechanics / Fedinand . L. Singer / Harper – Collins.
2. Engineering. Mechanics / Irving. H. Shames Prentice – Hall.
3. Engineering. Mechanics Umesh Regl / Tayal.
4. Engineering. Mechanics / R.V. Kulkarni & R.D. Askhevkar
5. Engineering. Mechanics/Khurmi/S.Chand.
6. Engineering. Mechanics / KL Kumar / Tata McGraw Hill.
UNIT – I
Introduction to Engineering. Mechanics – Basic Concepts.
Systems of Forces : Coplanar Concurrent Forces – Components in Space – Resultant – Moment of Force
and its Application – Couples and Resultant of Force Systems.
UNIT – II
Equilibrium of Systems of Forces : Free Body Diagrams, Equations of Equilibrium of Coplanar Systems,
Spatial Systems for concurrent forces. Lamis Theorem, Graphical method for the equilibrium of coplanar
forces, Converse of the law of Triangle of forces, converse of the law of polygon of forces condition of
equilibrium.
UNIT – III
Centroid : Centroids of simple figures (from basic principles ) – Centroids of Composite Figures
Centre of Gravity : Centre of gravity of simple body (from basis principles), centre of gravity of composite
bodies, pappus theorem.
UNIT – IV
Area moment of Inertia : Definition – Polar Moment of Inertia, Transfer Theorem, Moments of Inertia of
Composite Figures, Products of Inertia, Transfer Formula for Product of Inertia.
Mass Moment of Inertia : Moment of Inertia of Masses, Transfer Formula for Mass Moments of Inertia,
mass moment of inertia of composite bodies.
UNIT – V
Analysis of perfect frames ( Analytical Method) – Types of Frames – Assumptions for forces in members of a
perfect frame, Method of joints, Method of sections, Force table, Cantilever Trusses, Structures with one end
hinged and the other freely supported on rollers carrying horizontal or inclined loads.
UNIT – VI
Kinematics : Rectilinear and Curvilinear motions – Velocity and Acceleration – Motion of Rigid Body –
Types and their Analysis in Planar Motion.
Kinetics : Analysis as a Particle and Analysis as a Rigid Body in Translation – Central Force Motion –
Equations of Plane Motion – Fixed Axis Rotation – Rolling Bodies.
UNIT – VII
Work – Energy Method : Equations for Translation, Work-Energy Applications to Particle Motion,
Connected System-Fixed Axis Rotation and Plane Motion. Impulse momentum method.
UNIT – VIII
Principle of virtual work: Equilibrium of ideal systems, efficiency of simple machines, stable and unstable
Equilibriums
TEXT BOOKS :
1. Engineering. Mechanics / Timoshenko & Young.
2. Engineering. Mechanics / S.S. Bhavikatti & J.G. Rajasekharappa
REFERENCES :
1. Engineering Mechanics / Fedinand . L. Singer / Harper – Collins.
2. Engineering. Mechanics / Irving. H. Shames Prentice – Hall.
3. Engineering. Mechanics Umesh Regl / Tayal.
4. Engineering. Mechanics / R.V. Kulkarni & R.D. Askhevkar
5. Engineering. Mechanics/Khurmi/S.Chand.
6. Engineering. Mechanics / KL Kumar / Tata McGraw Hill.
Subscribe to:
Posts (Atom)