Principles of DynamicsAn exploration of the principles of dynamics. |
Contents
KINEMATICS OF A PARTICLE | 27 |
DYNAMICS OF A PARTICLE | 68 |
DYNAMICS OF A SYSTEM OF PARTICLES | 135 |
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acceleration amplitude ratios angle angular momentum angular velocity Assuming axially axis of symmetry calculate Cartesian center of mass circular coefficient components constant constraint forces coordinate system corresponding cos² d'Alembert's principle degrees of freedom differential equations direction disk ellipsoid equal equations of motion equilibrium Euler angles evaluated example expression external forces Əqi Figure force F forces acting friction function given in Eq gravitational Hence horizontal impulse inertia ellipsoid initial conditions instantaneous center integral kinetic energy Lagrange's equation let us consider m₁ m₂ magnitude massless matrix mode moments of inertia moves obtain orbit orthogonal particle of mass plane potential energy principal axes products of inertia radius reference point relative result rigid body rocket rotational motion scalar seen shown in Fig sin² sliding solve sphere unit vectors vertical virtual displacement x₁ xyz system zero