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KINEMATICS OF A PARTICLE
DYNAMICS OF A PARTICLE
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acceleration angle angular momentum angular velocity applied forces assume axes axis of symmetry calculate cartesian center of mass circular coefficient components constant constraint forces coordinate system corresponding degrees of freedom differential equations direction disk equal equations of motion Euler angles evaluated example expression force F function given in Eq Hence horizontal impulse inertia ellipsoid initial conditions instantaneous center integral kinetic energy Lagrange's equations law of motion let us consider linear momentum magnitude mass center matrix mode moments of inertia moves Newton's law orbit orthogonal particle of mass path perpendicular plane polhode position vector potential energy principal axis products of inertia radius reference frame reference point relative result rigid body rocket rotational equation rotational motion scalar seen shown in Fig sin2 sliding solve sphere spherical system of particles transient solution translational unit vectors vertical virtual displacement write xyz system zero