## Analytical Mechanics |

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A X B amplitude angle angular momentum Atwood machine axes ball center of mass central force centripetal coefficient coefficient of restitution collision Compute consider constant speed Coulomb's laws cylinder damping defined differential direction displacement distance dot-product earth elastic equal equation of motion equilibrium example Figure following relation force acting force exerted force F force of friction force of gravity frequency ft/sec given by Eq horizontal impact inclined plane inertia initial conditions integration kinetic energy length linear m/sec magnitude Newton's obtain orbit oscillator particle moving path perpendicular polar coordinates position potential energy produced radius of gyration radius vector rectangular components relative rigid body rotation satellite scalar shown in Fig side of Eq simple harmonic motion Solving Eq sphere spring takes the form theorem tion torque unit vectors vertical weighing write Eq X-axis zero