For the Students of Undergraduate and Honours Classes and Various Competitive Examinations

CONTENTS

PART-I

1. Common Catenary ... 1-30
1.1 Flexible Strings
1.2 Common Catenary
1.3 Intrinsic Equation of Common Catenary
1.4 Some Definitions and Conventions
1.5 Cartesian Equation of Common Catenary
1.6 Span of Common Catenary
1.7 Relation Between x and y
1.8 Relation Between s and y
1.9 Approximation of the Common Catenary
1.10 Sag of Tightly Stretched Wire
2. Centre Of Gravity (C.G.) ... 31-76
2.1 Centre of Mass
2.2 Centre of Gravity
2.3 Centre of Gravity by Integration
2.4 Centre of Gravity of Any Arc of a Given Curve
2.5 Centre of Gravity of any Plane Area
2.6 Centre of Gravity of a Solid of Revolution
2.7 Centre of Gravity of a Surface of Revolution
2.8 Centre of Gravity of the Sum or Difference of Two Bodies
2.9 Centre of Gravity When the Density Varies
2.10 Centre of Gravity in Three Dimensions
Objective Type Questions

PART-II

1. Forces In Three Dimensions ... 1-117
Central Axis
Pre-Requisites
Forces in Three Dimensions
Constrained Bodies
Null Lines and Planes
2. Stable and Unstable Equilibrium ... 118-184
3. Virtual Work ... 185-224