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Mechanics (MATH-508)
Week 10: Determination of principal axes by diagonalizing the inertia
Week 10: Determination of principal axes by diagonalizing the inertia
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Course Material
Week 01: General introduction
Week 02: Projectile motion with air resistance. Applications of the principle of conservation of energy
Week 03: Centre of mass of a system of particles
Week 04: Motion of a rigid body, translation and rotation, linear and angular velocity of a rigid body about a fixed axis
Week 05: Linear momentum, angular momentum and K.E. with respect to the centre of mass
Week 06: General motion of rigid bodies in space. Angular momentum and moment of inertia. Principal axes and principal moments of inertia
Week 07: Moments and products of inertia. Parallel and perpendicular axis theorems
Week 08: Examples and problems
Week 09: Mid Term exam
Week 10: Determination of principal axes by diagonalizing the inertia
Week 11: Equimomental systems
Week 12: Rotating axes theorems.
Week 13: Euler’s dynamical equations.
Week 14: Torque free motion of a symmetrical top
Week 15: Free rotation of a rigid body with three different principal moments of inertia
Week 16: Eulerian angles and rigid body motion, Orbital motion
Week 17: Revision/Presentations
Week 18: Final term exam
Chapters
18
Department
Mathematics
Teacher
Dr. Khalid Mahmood Awan