1.1 Concept of engineering mechanics definition of mechanics, statics,

dynamics, application of engineering mechanics in practical fields.

Definition of Applied Mechanics.

1.2 Definition, basic quantities and derived quantities of basic units and

derived units

1.3 Different systems of units (FPS, CGS, MKS and SI) and their conversion

from one to another density, force, pressure, work, power, velocity,

acceleration

1.4 Concept of rigid body, scalar and vector quantities

1.1 Concept of engineering mechanics definition of mechanics, statics,

dynamics, application of engineering mechanics in practical fields.

Definition of Applied Mechanics.

1.2 Definition, basic quantities and derived quantities of basic units and

derived units

1.3 Different systems of units (FPS, CGS, MKS and SI) and their conversion

from one to another density, force, pressure, work, power, velocity,

acceleration

1.4 Concept of rigid body, scalar and vector quantities

1.1 Concept of engineering mechanics definition of mechanics, statics,

dynamics, application of engineering mechanics in practical fields.

Definition of Applied Mechanics.

1.2 Definition, basic quantities and derived quantities of basic units and

derived units

1.3 Different systems of units (FPS, CGS, MKS and SI) and their conversion

from one to another density, force, pressure, work, power, velocity,

acceleration

1.4 Concept of rigid body, scalar and vector quantities

2.1 Definition of force, measurement of force in SI units, its representation,

types of force: Point force/concentrated force & Uniformly distributed force, effects of force, characteristics of a force

2.2 Different force systems (coplanar and non-coplanar), principle of

transmissibility of forces, law of super-position

2.3 Composition and resolution of coplanar concurrent forces, resultant force,

method of composition of forces, laws of forces, triangle law of forces,

polygon law of forces - graphically, analytically, resolution of forces,

resolving a force into two rectangular components

2.4 Free body diagram

2.5 Equilibrant force and its determination

2.6 Lami's theorem (concept only)[Simple problems on above topics].

3.1 Concept of moment

3.2 Moment of a force and units of moment

3.3 Varignon's theorem (definition only)

3.4 Principle of moment and its applications (Levers – simple and compound, steel yard, safety valve, reaction at support)

3.5 Parallel forces (like and unlike parallel force), calculating their resultant

3.6 Concept of couple, its properties and effects

3.7 General conditions of equilibrium of bodies under coplanar forces and beams, fixed support, roller, support, over hanging, Uniformly distributed load, point load, varying load

3.8 Position of resultant force by moment

[Simple problems on the above topics]3.1 Concept of moment

3.2 Moment of a force and units of moment

3.3 Varignon's theorem (definition only)

3.4 Principle of moment and its applications (Levers – simple and compound, steel yard, safety valve, reaction at support)

3.5 Parallel forces (like and unlike parallel force), calculating their resultant

3.6 Concept of couple, its properties and effects

3.7 General conditions of equilibrium of bodies under coplanar forces and beams, fixed support, roller, support, over hanging, Uniformly distributed load, point load, varying load

3.8 Position of resultant force by moment

[Simple problems on the above topics]

4.1 Definition and concept of friction, types of friction, force of friction

4.2 Laws of static friction, coefficient of friction, angle of friction, angle of repose, cone of friction

4.3 Equilibrium of a body lying on a horizontal plane, equilibrium of a body lying on a rough inclined plane, friction in simple screw jack

4.4 Calculation of least force required to maintain equilibrium of a body on a rough inclined plane subjected to a force:

[Simple problems on the above topics]v

5.1 Concept, definition of centroid of plain figures and centre of gravity of symmetrical solid bodies

5.2 Determination of centroid of plain and composite lamina using moment method only, centroid of bodies with removed portion

5.3 Determination of center of gravity of solid bodies - cone, cylinder, hemisphere and sphere; composite bodies and bodies with portion removed [Simple problems on the above topics]..

Concept of moment of inertia and second moment of area and radius of gyration, theorems of parallel and perpendicular axis, second moment of area of common geometrical sections: rectangle, triangle, circle (without derivations). Second moment of area for L, T and I sections, section modulus.

7.1 Definition of effort, velocity ratio, mechanical advantage and efficiency of a machine and their relationship, law of machines

7.2 Simple and compound machine (Examples)

7.3 Definition of ideal machine, reversible and self locking machine

7.4 Effort lost in friction, Load lost in friction, determination of maximum mechanical advantage and maximum efficiency

7.5 System of pulleys (first, second, third system of pulleys), determination of velocity ratio, mechanical advantage and efficiency

7.6 Working principle and application of wheel and axle, different pulley blocks, simple screw jack, worm and worm wheel, single and double winch crab. Expression for their velocity ratio and field of their application [Simple problems on the above topics]