15 pages matching Euler angles in this book
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KINEMATICS OF A PARTICLE
DYNAMICS OF A PARTICLE
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acceleration amplitude ratios angle angular momentum angular velocity 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 distance ellipsoid equal equations of motion Euler angles evaluated example expression fixed point 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 modal column mode moments of inertia moves Newton's law orbit orthogonal particle of mass path perpendicular plane polhode position vector potential energy principal axis principal moments products of inertia radius reference frame reference point relative result rigid body rocket rotational equation rotational motion scalar seen shown in Fig sliding solve sphere transient solution translational unit vectors vertical virtual displacement write xyz system zero