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1 | (14) |
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1.1 Engineering and Mechanics |
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2 | (1) |
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2 | (2) |
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3 | (1) |
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Calculators and Computers |
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3 | (1) |
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3 | (1) |
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4 | (3) |
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4 | (1) |
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4 | (1) |
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5 | (1) |
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6 | (1) |
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7 | (8) |
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International System of Units |
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7 | (1) |
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8 | (1) |
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8 | (1) |
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9 | (6) |
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15 | (84) |
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2.1 Position, Velocity, and Acceleration |
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16 | (1) |
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17 | (23) |
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Description of the Motion |
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17 | (1) |
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18 | (22) |
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40 | (34) |
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40 | (9) |
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49 | (6) |
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Normal and Tangential Components |
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55 | (11) |
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Polar and Cylindrical Coordinates |
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66 | (8) |
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74 | (8) |
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APPLICATION TO ENGINEERING: COMMUNICATION SATELLITES |
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79 | (3) |
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82 | (17) |
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91 | (2) |
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93 | (3) |
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96 | (3) |
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3 Force, Mass, and Acceleration |
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99 | (40) |
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100 | (1) |
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3.2 Inertial Reference Frames |
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100 | (1) |
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3.3 Equation of Motion for the Center of Mass |
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101 | (2) |
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103 | (31) |
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Cartesian Coordinates and Straight-Line Motion |
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103 | (12) |
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Normal and Tangential Components |
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115 | (9) |
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124 | |
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APPLICATION TO ENGINEERING: MOTOR VEHICLE DYNAMICS |
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118 | (6) |
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124 | (4) |
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128 | (6) |
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134 | (1) |
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134 | (5) |
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139 | (46) |
| Work and Kinetic Energy |
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140 | (20) |
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4.1 Principle of Work and Energy |
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140 | (1) |
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141 | (19) |
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141 | (6) |
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Work Done by Various Forces |
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147 | (2) |
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149 | (11) |
| Potential Energy |
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160 | (25) |
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4.3 Conservation of Energy |
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160 | (1) |
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161 | (16) |
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Potential Energies of Various Forces |
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162 | (5) |
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Relationships Between Force and Potential Energy |
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167 | (7) |
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174 | (3) |
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177 | (2) |
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179 | (6) |
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185 | (46) |
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5.1 Principle of Impulse and Momentum |
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186 | (9) |
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5.2 Conservation of Linear Momentum |
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195 | (3) |
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198 | (11) |
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199 | (1) |
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200 | (9) |
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209 | (6) |
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Principle of Angular Impulse and Momentum |
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209 | (1) |
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210 | (5) |
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215 | (9) |
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APPLICATION TO ENGINEERING: JET ENGINES |
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218 | (6) |
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224 | (2) |
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226 | (5) |
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6 Planar Kinematics of Rigid Bodies |
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231 | (72) |
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6.1 Rigid Bodies and Types of Motion |
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232 | (3) |
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6.2 Rotation About a Fixed Axis |
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235 | (4) |
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6.3 General Motions: Velocities |
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239 | (21) |
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239 | (1) |
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The Angular Velocity Vector |
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240 | (14) |
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254 | (6) |
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6.4 General Motions: Accelerations |
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260 | (11) |
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271 | (10) |
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6.6 Rotating Coordinate Systems |
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281 | (15) |
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Motion of a Point Relative to a Rotating Coordinate System |
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281 | (5) |
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Inertial Reference Frames |
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286 | (10) |
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296 | (2) |
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298 | (5) |
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7 Two-Dimensional Dynamics of Rigid Bodies |
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303 | (64) |
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7.1 Preview of the Equations of Motion |
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304 | (1) |
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7.2 Momentum Principles for a System of Particles |
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305 | (4) |
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Force-Linear Momentum Principle |
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305 | (1) |
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Moment-Angular Momentum Principles |
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306 | (3) |
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7.3 Derivation of the Equations of Motion |
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309 | (2) |
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Rotation About a Fixed Axis |
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309 | (1) |
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310 | (1) |
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311 | (16) |
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312 | (2) |
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Rotation About a Fixed Axis |
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314 | (4) |
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318 | (6) |
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APPLICATION TO ENGINEERING: INTERNAL FORCES AND MOMENTS IN BEAMS |
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324 | (3) |
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7.5 D'Alembert's Principle |
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327 | (17) |
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341 | (3) |
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Appendix: Moments of Inertia |
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344 | (16) |
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345 | (5) |
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350 | (10) |
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360 | (2) |
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362 | (5) |
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8 Energy and Momentum in Planar Rigid-Body Dynamics |
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367 | (54) |
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8.1 Principle of Work and Energy |
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368 | (4) |
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368 | (1) |
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Rigid Body in Planar Motion |
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369 | (3) |
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8.2 Work and Potential Energy |
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372 | (2) |
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374 | (15) |
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8.4 Principles of Impulse and Momentum |
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389 | (8) |
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389 | (1) |
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390 | (7) |
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397 | (15) |
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397 | (1) |
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Coefficient of Restitution |
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398 | (14) |
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412 | (3) |
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415 | (6) |
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9 Three-Dimensional Kinematics and Dynamics of Rigid Bodies |
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421 | (62) |
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422 | (8) |
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430 | (3) |
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Rotation About a Fixed Point |
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430 | (2) |
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432 | (1) |
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9.3 Moments and Products of Inertia |
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433 | (15) |
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433 | (2) |
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436 | (1) |
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Moment of Inertia About an Arbitrary Axis |
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437 | (1) |
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438 | (10) |
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448 | (16) |
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Rotation About a Fixed Point |
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448 | (2) |
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450 | (14) |
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464 | (12) |
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Objects with an Axis of Symmetry |
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464 | (4) |
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468 | (8) |
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476 | (4) |
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480 | (3) |
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483 | (46) |
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10.1 Conservative Systems |
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484 | (15) |
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484 | (2) |
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486 | (13) |
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499 | (9) |
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500 | (1) |
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Critical and Supercritical Damping |
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501 | (7) |
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508 | (16) |
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Oscillatory Forcing Function |
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509 | (1) |
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Polynomial Forcing Function |
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510 | (6) |
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APPLICATION TO ENGINEERING: DISPLACEMENT TRANSDUCERS |
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516 | (5) |
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521 | (3) |
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524 | (3) |
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527 | (2) |
| Appendices |
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529 | (17) |
| A Review of Mathematics |
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529 | (3) |
| B Properties of Areas and Lines |
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532 | (2) |
| C Properties of Volumes and Homogeneous Objects |
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534 | (2) |
| D Spherical Coordinates |
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536 | (1) |
| Answers to Even-Numbered Problems |
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537 | (9) |
| Index |
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546 | |
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