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Page 22
... function x ( t ) . The force F may be known as a function of any or all of the variables t , x , and v . For any given motion of a dynamical system , all dynamical variables ( x , v , F , p , T , etc. ) associated with the system are ...
... function x ( t ) . The force F may be known as a function of any or all of the variables t , x , and v . For any given motion of a dynamical system , all dynamical variables ( x , v , F , p , T , etc. ) associated with the system are ...
Page 105
... function of r alone , is not sufficient to guarantee the existence of a potential - energy function V ( r ) . In the one - dimensional case , we found that if the force is given as a function of position alone , a potential - energy ...
... function of r alone , is not sufficient to guarantee the existence of a potential - energy function V ( r ) . In the one - dimensional case , we found that if the force is given as a function of position alone , a potential - energy ...
Page 113
... function F ( x , y , z ) such that the line integral in Eq . ( 3–183 ) is independent of the path of integration from r , to any point r . The value of the integral then depends only on r ( and on r , ) , and Eq . ( 3-183 ) defines a ...
... function F ( x , y , z ) such that the line integral in Eq . ( 3–183 ) is independent of the path of integration from r , to any point r . The value of the integral then depends only on r ( and on r , ) , and Eq . ( 3-183 ) defines a ...
Contents
ELEMENTS OF NEWTONIAN MECHANICS | 1 |
MOTION OF A PARTICLE IN ONE DIMENSION | 21 |
MOTION OF A PARTICLE IN TWO OR THREE DIMENSIONS | 68 |
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acceleration algebraic amplitude angle angular momentum angular velocity applied assume axis calculate center of mass Chapter coefficients collision components conservation constant coordinate system coriolis force corresponding defined definition density derivative determined differential equation direction distance earth eigenvalues equations of motion equilibrium example external forces Find fixed fluid force acting force F frequency friction function given by Eq harmonic oscillator inertia ellipsoid inertia tensor integral kinetic energy Lagrange's equations linear m₁ mechanics method moment of inertia moving normal mode obtain orbit particle of mass pendulum perpendicular physical plane position potential energy precession pressure principal axes problem r₁ radius relative result rigid body rotation Section solve space specify spherical steady motion string surface symmetric system of particles theorem theory tion torque unit vectors values vertical vibration wave z-axis zero дак