Principles of Dynamics |
Contents
INTRODUCTORY CONCEPTS | 1 |
KINEMATICS OF A PARTICLE | 31 |
L | 47 |
Copyright | |
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acceleration angle angular momentum angular velocity assume axes axial axis of symmetry calculate cartesian center of mass circular coefficient components constant constraint forces coordinate system corresponding cos² degrees of freedom differential equations direction disk ellipsoid equal equations of motion equilibrium evaluated example expression force F frequency friction function given in Eq gravitational H₂ Hence horizontal impulse inertia ellipsoid initial conditions instantaneous center integral kinetic energy Lagrange's equations let us consider m₁ m₂ magnitude matrix modal column mode moments of inertia moving obtain orbit orthogonal particle of mass path plane polhode potential energy principal axis products of inertia radius reference frame reference point relative result rigid body rocket rotational motion scalar seen shown in Fig sin² sliding solve sphere u₁ unit vectors vertical virtual displacement write x₁ xyz system zero