**UNIT I BASICS & STATICS OF PARTICLES**

Introduction – Units and Dimensions – Laws of Mechanics – Lame’s theorem, Parallelogram and

triangular Law of forces – Vectors – Vectorial representation of forces and moments – Vector

operations: additions, subtraction, dot product, cross product – Coplanar Forces – Resolution and

Composition of forces – Equilibrium of a particle – Forces in space – Equilibrium of a particle in

space – Equivalent systems of forces – Principle of transmissibility – Single equivalent force.

**UNIT II EQUILIBRIUM OF RIGID BODIES**

Free body diagram – Types of supports and their reactions – requirements of stable equilibrium –

Moments and Couples – Moment of a force about a point and about an axis – Vectorial

representation of moments and couples – Scalar components of a moment – Varignon’s theorem –

Equilibrium of Rigid bodies in two dimensions – Equilibrium of Rigid bodies in three dimensions

**UNIT III PROPERTIES OF SURFACES AND SOLIDS**

Determination of Areas and Volumes – First moment of area and the Centroid of sections –

Rectangle, circle, triangle from integration – T section, I section, - Angle section, Hollow section by

using standard formula – second and product moments of plane area – Rectangle, triangle, circle

from integration – T section, I section, Angle section, Hollow section by using standard formula –

Parallel axis theorem and perpendicular axis theorem – Polar moment of inertia – Principal moments

of inertia of plane areas – Principal axes of inertia – Mass moment of inertia – Derivation of mass

moment of inertia for rectangular section, prism, sphere from first principle – Relation to area

moments of inertia.

**UNIT IV DYNAMICS OF PARTICLES**

Displacements, Velocity and acceleration, their relationship – Relative motion – Curvilinear motion –

Newton’s law – Work Energy Equation of particles – Impulse and Momentum – Impact of elastic

bodies.

**UNIT V FRICTION AND ELEMENTS OF RIGID BODY DYNAMICS**

Frictional force – Laws of Coloumb friction – simple contact friction – Rolling resistance – Belt

friction.

Translation and Rotation of Rigid Bodies – Velocity and acceleration – General Plane motion.

**TOTAL: 60 PERIODS**

**TEXT BOOK:**

1. Beer, F.P and Johnson Jr. E.R. “Vector Mechanics for Engineers”, Vol. 1 Statics and Vol. 2

Dynamics, McGraw-Hill International Edition, (1997).

**REFERENCES:**

1. Rajasekaran, S, Sankarasubramanian, G., “Fundamentals of Engineering Mechanics”, Vikas

Publishing House Pvt. Ltd., (2000).

2. Hibbeller, R.C., “Engineering Mechanics”, Vol. 1 Statics, Vol. 2 Dynamics, Pearson Education

Asia Pvt. Ltd., (2000).

3. Palanichamy, M.S., Nagam, S., “Engineering Mechanics – Statics & Dynamics”, Tata McGraw-

Hill, (2001).

4. Irving H. Shames, “Engineering Mechanics – Statics and Dynamics”, IV Edition – Pearson

Education Asia Pvt. Ltd., (2003).

5. Ashok Gupta, “Interactive Engineering Mechanics – Statics – A Virtual Tutor (CDROM)”, Pearson

Education Asia Pvt., Ltd., (2002).

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