Analytical Elements of Mechanics, Volume 2 |
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a₁ angle angular acceleration angular momentum angular speed angular velocity axes b₁ B₂ C₁ C₂ centroidal principal contact forces acting curve D'Alembert's principle Determine differential ds ds2 dt dt dz dz equal to zero equation expressed forces exerted ft sec-2 given in Sec gravitational and contact Hence inertia couple inertia forces acting instant kinetic energy line passing mass center measure numbers moment of inertia motion mutually perpendicular unit n₁ n₂ Newtonian reference frame P₂ particle perpendicular unit vectors point fixed point Q position vector principal axis principal direction principal second Proof R'aR R'vP R'wR R₁ R₂ rad sec-2 radius of gyration Referring to Problem relative to Q respect to line Result rigid body rotation scalar variable sec-¹ second moments shaft shown in Fig sin² slug ft² Solution torque unit vector parallel unit vectors fixed V₁ vector functions