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Kinematics of a Particle
Kinematics of a Body
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acceleration of point analogous angular momentum angular velocity assume axes axis axode calculate Cartesian centre of mass coefficients considered constant constraints contravariant coordinates covariant curvilinear curvilinear coordinates defined deflection degrees of freedom denote derivative determined differential equation displacements elastic equal to zero equation of motion equilibrium position Example expressed follows forces acting frame of reference function harmonic oscillator Hence holonomic systems inertia instantaneous centre integral kinematic pairs kinetic energy Kronecker delta Lagrange equations law of variation linear matrix mechanics method metric tensor moving Note number of degrees obtain orthogonal Oxyz particle plane position vector potential energy problem radius reference origin relative motion right angles right-hand side rigid body rotation Section shown in Fig side of equation solution solve space stability straight line Substituting summation surface system of equations tensor of rank theorem transformation unit vectors write