Preface |
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xiii | |
1 Introduction |
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1 | (33) |
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1.1 Introduction to Engineering Mechanics |
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1 | (1) |
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1.2 Basic Idealizations: Particle, Continuum and Rigid Body |
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2 | (1) |
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2 | (2) |
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2 | (1) |
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3 | (1) |
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1.4 Scalar and Vector Quantities |
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4 | (1) |
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1.5 Force and its Characteristics |
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4 | (1) |
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4 | (4) |
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1.6.1 Classification of force system |
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4 | (4) |
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8 | (4) |
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8 | (1) |
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1.7.2 The gravitational law of attraction |
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8 | (1) |
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9 | (3) |
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12 | (19) |
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1.8.1 Vectors' representation |
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12 | (1) |
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1.8.2 Classification of vectors |
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13 | (3) |
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16 | (4) |
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1.8.4 Vectorial representation of component of force |
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20 | (1) |
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1.8.5 Vectorial representation of force passing through two points in space |
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21 | (10) |
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31 | (1) |
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31 | (1) |
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Multiple Choice Questions |
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32 | (2) |
2 Two Dimensional Concurrent Force Systems |
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34 | (62) |
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2.1 Resolution of Force and Force Systems |
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34 | (3) |
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2.2 Resultant of Two Dimensional Concurrent Forces |
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37 | (4) |
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2.3 Principle of Transmissibility of Forces |
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41 | (1) |
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42 | (1) |
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2.5 Equations of Equilibrium Conditions |
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43 | (1) |
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44 | (46) |
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90 | (4) |
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Multiple Choice Questions |
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94 | (2) |
3 Two Dimensional Non-concurrent Force Systems |
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96 | (53) |
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96 | (1) |
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97 | (1) |
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98 | (1) |
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98 | (1) |
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3.5 Transfer of a Force to Parallel Position |
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99 | (1) |
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3.6 Graphical Presentation of Moment |
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100 | (1) |
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101 | (1) |
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3.8 Equations of Equilibrium Conditions |
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102 | (1) |
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3.9 Types of Supports and their Reactions on Beams |
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103 | (2) |
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105 | (1) |
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3.11 Types of Loading on Beams |
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105 | (39) |
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144 | (3) |
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Multiple Choice Questions |
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147 | (2) |
4 Friction |
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149 | (36) |
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149 | (1) |
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4.2 Coulomb's Laws of Dry Friction |
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150 | (1) |
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4.3 Static Friction, Limiting Friction, Kinetic Friction |
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150 | (1) |
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151 | (1) |
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152 | (1) |
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153 | (27) |
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180 | (3) |
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Multiple Choice Questions |
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183 | (2) |
5 Application of Friction |
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185 | (60) |
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185 | (11) |
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196 | (10) |
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206 | (10) |
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216 | (13) |
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229 | (10) |
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239 | (1) |
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239 | (4) |
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Multiple Choice Questions |
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243 | (2) |
6 Analysis of Trusses |
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245 | (78) |
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245 | (1) |
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6.2 Classification of Trusses |
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245 | (3) |
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6.3 Assumptions for the Analysis of Perfect Truss |
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248 | (1) |
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6.4 Analysis of Forces in the Members of the Truss |
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248 | (67) |
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248 | (53) |
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301 | (14) |
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315 | (1) |
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316 | (5) |
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Multiple Choice Questions |
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321 | (2) |
7 Centroid and Centre of Gravity |
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323 | (64) |
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323 | (1) |
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7.2 Centre of Gravity, Centroid of Line, Plane Area and Volume |
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323 | (3) |
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7.3 Centroid of L, C, T and I-Sections |
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326 | (4) |
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7.4 Importance of Axis of Symmetry in Centroid and Centre of Gravity |
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330 | (6) |
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7.5 Centroid of a Triangle |
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336 | (1) |
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7.6 Centroid of a Quarter Circle and Semicircle |
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337 | (14) |
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7.7 Centroid of Composite Sections and Bodies |
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351 | (24) |
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7.8 Centre of Gravity of Cone and Hemisphere |
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375 | (5) |
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380 | (5) |
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Multiple Choice Questions |
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385 | (2) |
8 Moment of Inertia |
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387 | (59) |
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8.1 Moment of Inertia of Plane Area and Mass |
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387 | (1) |
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388 | (1) |
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8.3 Parallel Axis Theorem and its Significance |
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389 | (2) |
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8.4 Perpendicular Axis Theorem |
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391 | (1) |
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8.5 Moment of Inertia of a Rectangle |
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392 | (1) |
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8.6 Moment of Inertia of a Triangle |
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393 | (2) |
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8.7 Moment of Inertia of a Circle, a Quarter Circle and a Semicircle |
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395 | (5) |
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8.8 Moment of Inertia of Composite Sections and Bodies |
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400 | (30) |
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8.9 Mass Moment of Inertia of Prismatic Bar, Rectangular Plate, Circular Disc, Solid Cone and Sphere about Axis of Symmetry |
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430 | (8) |
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438 | (6) |
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Multiple Choice Questions |
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444 | (2) |
9 Shear Force and Bending Moment Diagrams |
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446 | (52) |
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446 | (1) |
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446 | (1) |
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9.3 Types of Loads and Beams |
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447 | (1) |
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9.4 Shear Force and Bending Moment |
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448 | (1) |
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9.5 Shear Force Diagram (SFD) and Bending Moment Diagram (BMD) |
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449 | (1) |
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9.6 Sign Convention of Shear Force and Bending Moment in SFD and BMD |
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449 | (1) |
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9.7 Relationship between Load Intensity (w), Shear Force (S) and Bending Moment (M) |
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450 | (2) |
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9.8 Point of Contraflexure or Inflexion |
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452 | (1) |
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9.9 Characteristics of SFD and BMD |
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452 | (41) |
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493 | (1) |
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494 | (2) |
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Multiple Choice Questions |
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496 | (2) |
10 Kinematics: Rectilinear Motion of Particles |
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498 | (31) |
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498 | (1) |
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10.2 Displacement, Velocity and Acceleration |
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498 | (2) |
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500 | (1) |
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10.4 Rectilinear Motion in Horizontal Direction (X-axis) |
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500 | (14) |
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10.4.1 Motion with variable acceleration |
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500 | (8) |
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10.4.2 Motion with uniform acceleration |
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508 | (6) |
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10.5 Graphical Method for Motion Curves |
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514 | (6) |
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10.6 Rectilinear Motion in Vertical Direction (Y-axis) |
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520 | (5) |
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525 | (1) |
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525 | (2) |
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Multiple Choice Questions |
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527 | (2) |
11 Kinematics: Curvilinear Motion of Particles |
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529 | (31) |
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529 | (1) |
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11.2 Rectangular Coordinates |
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529 | (2) |
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11.3 Tangential and Normal Components of Acceleration |
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531 | (8) |
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539 | (17) |
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556 | (1) |
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556 | (1) |
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Multiple Choice Questions |
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557 | (3) |
12 Kinetics of Particles |
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560 | (31) |
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560 | (1) |
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560 | (1) |
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12.3 D'Alembert's Principle |
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561 | (26) |
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587 | (1) |
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587 | (2) |
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Multiple Choice Questions |
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589 | (2) |
13 Work and Energy |
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591 | (40) |
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591 | (1) |
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13.2 Work Done by a Force |
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591 | (1) |
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13.3 Work Done by a Variable Force |
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592 | (1) |
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593 | (1) |
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13.5 Work-Energy Principle |
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593 | (1) |
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594 | (1) |
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13.7 Principle of Conservation of Energy |
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595 | (30) |
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625 | (1) |
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626 | (3) |
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Multiple Choice Questions |
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629 | (2) |
14 Impulse and Momentum |
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631 | (30) |
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631 | (1) |
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14.2 Principle of Impulse and Momentum |
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631 | (1) |
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14.3 Principle of Conservation of Momentum |
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632 | (1) |
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14.4 Collisions of Elastic Bodies |
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633 | (25) |
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14.4.1 Direct central impact |
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633 | (1) |
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14.4.2 Oblique/Indirect central impact |
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634 | (1) |
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14.4.3 Coefficient of restitution |
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634 | (24) |
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658 | (1) |
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658 | (1) |
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Multiple Choice Questions |
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659 | (2) |
15 Kinematics of Rigid Bodies |
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661 | (47) |
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661 | (1) |
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661 | (1) |
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15.3 Angular Displacement, Angular Velocity and Angular Acceleration |
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661 | (2) |
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15.4 Relationship between Linear and Angular Velocity |
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663 | (1) |
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15.5 Relationship between Linear, Normal and Angular Acceleration |
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663 | (1) |
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15.6 Equations of Angular Motion |
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664 | (9) |
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15.7 General Plane Motion |
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673 | (2) |
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15.8 Instantaneous Centre |
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675 | (19) |
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694 | (10) |
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704 | (1) |
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704 | (2) |
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Multiple Choice Questions |
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706 | (2) |
16 Kinetics of Rigid Bodies |
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708 | (34) |
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708 | (1) |
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16.2 Kinetics of Rotary Motion |
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708 | (1) |
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16.2.1 Moment of momentum |
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708 | (1) |
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16.2.2 Torque and angular momentum |
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709 | (1) |
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16.3 Kinetic Energy of a Body in Translatory and Rotary Motion |
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709 | (1) |
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16.4 Principle of Conservation of Energy |
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710 | (1) |
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16.5 Principle of Work and Energy |
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711 | (28) |
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739 | (1) |
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739 | (1) |
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Multiple Choice Questions |
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740 | (2) |
17 Virtual Work |
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742 | (41) |
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742 | (1) |
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17.2 Principle of Virtual Work |
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742 | (1) |
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743 | (1) |
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17.4 Work Done by Moments |
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744 | (34) |
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778 | (1) |
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778 | (4) |
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Multiple Choice Questions |
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782 | (1) |
Index |
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783 | |