Unit 1: Vector Algebra 1.1 Introduction to vector algebra 1.2 Scalar and vector product 1.3 Scalar triple product and vector triple product 1.4 Application to geometry Unit 2: Vector Calculus 2.1 Limit, continuity and differentiability of vector point functions 2.2 Partial derivatives of vector point functions 2.3 Scalar and vector fields 2.4 The gradient, divergence and curl 2.5 Expansion formulas Unit 3: Forces 3.1 Fundamental concepts and principles 3.2 Internal-non-internal frames, Newton’s laws 3.3 Resultant of several concurrent forces 3.4 The parallelogram law of forces 3.5 Resolution of a forces, triangle of forces 3.6 Lamy’s theorem, polygon of forces 3.7 Conditions of equilibrium for a particle 3.8 External and internal forces, principle of transmissibility 3.9 Resultant of like and unlike parallel forces 3.10 Moment of forces about a point, Varigon’s Theorem 3.11 Moment of a couple, equivalent couples, composition of couples 3.12 Reduction of coplanar forces to a force or a couple Unit 4: Friction 4.1 Dry friction and fluid friction 4.2 Laws of dry friction, coefficients of friction, angle of friction 4.3 Equilibrium of a particle on a rough inclined plane 4.4 Particle on a rough inclined plane acted on by an external force 4.5 Conditions for sliding or titling Unit 5: Virtual Work 5.1 Principle of virtual work 5.2 Problems involving tensions and thrust Evaluation Criteria Students will be evaluated on the basis of following criteria. 1 Test 1 10 2 Test 2 10 3 Assignment 10 4 Attendance 5 5 Final Exams 65 6 Total 100 Recommended Books Thomas (2005).Calculus (11thed.). Boston: Addition Welsey publishing company. Jafferson, Beasdsworth, B. (2001).T. Further mechanics. Oxford: Oxford University Press. Joseph F, Shelly. (1990).Vector Mechanics. Pennsylvania Plaza New York City: Mc-Graw Hill Company. Anand, D.K. &Cunnif, P.F. (1984).Statics and Dynamics. Boston: Allyn and Becon. Ferdinand, P.B &Johnston. E. R. (1997). Statics and Dynamics. Pennsylvania Plaza New York City: Mc-Graw Hill Book Company.

This course is intended to develop the student skills in solving 2-D and 3-D static equilibrium problems for particles, rigid bodies and structures. The emphasis will be on 2-D and 3-D rigid body equilibrium, analysis of trusses, frames and beams.

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Book Title : Calculus

Author : Thomas

Edition : 11

Publisher : Addition Welsey publishing company

Book Title : Vector Mechanics

Author : Joseph F, Shelly.

Edition : latest

Publisher : Mc-Graw Hill Company.

Book Title : Vector analysis

Author : Z.R Bhatti

Edition : 4th

Publisher :

Title : resuloution of forces and triangle of forces

Type : Presentation

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Title : fundamental concept of forces

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Title : inertial and non inertial frame of reference

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Title : Vector triple product

Type : Presentation

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Title : scalar triple product

Type : Presentation

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Title : Resultant of like and unlike parallel forces

Type : Presentation

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Title : Lami's Theorem

Type : Presentation

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Title : internal and external forces

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Title : dry friction and fluid friction

Type : Presentation

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Title : coplanar forces

Type : Presentation

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Title : laws of dry friciton

Type : Presentation

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Title : Equilbrium and condition of equilbrium

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Title : varigon's theorem

Type : Presentation

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Title : parallelogram law of forces

Type : Presentation

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