Main Page > BS Mathematics (Morning) (After 2 Years ADP Mathematics) > MATH-310 Mechanics
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MATH-310 Mechanics
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Non Inertial Reference Systems Accelerated coordinate systems and inertial forces Rotating coordinate systems Velocity and acceleration in moving system: coriolis, centripetal and transverse acceleration Dynamics of a particle in a rotating coordinate system Planar Motion of Rigid Bodies Introduction to rigid and elastic bodies, degrees of freedom, translations, rotations, instantaneous axis and center of rotation, motion of the center of mass Euler’s theorem and Chasle’s theorem Rotation of a rigid body about a fixed axis: moments and products of inertia, hoop or cylindrical shell, circular cylinder, spherical shell Parallel and perpendicular axis theorem Radius of gyration of various bodies Motion of Rigid Bodies in Three Dimensions General motion of rigid bodies in space: Moments and products of inertia, inertia matrix The momental ellipsoid and equimomental systems Angular momentum vector and rotational kinetic energy Principal axes and principal moments of inertia Determination of principal axes by diagonalizing the inertia matrix Euler Equations of Motion of a Rigid Body Force free motion Free rotation of a rigid body with an axis of symmetry Free rotation of a rigid body with three different principal moments The Eulerian angles, angular velocity and kinetic energy in terms of Euler angles, space cone Motion of a spinning top and gyroscopes- steady precession, sleeping top |
| Credit hours/ Marks:- 3 |
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