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Week - 1 |
Velocity and acceleration relations in coordinate systems |
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Week - 2 |
Particle kinematics |
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Week - 3 |
Newton's laws of motion and Work, energy and momentum |
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Week - 4 |
Inertial and non-inertial frames of reference, as if forces, relative motion |
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Week - 5 |
Movement in a central force field |
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Week - 6 |
Inertial and non-inertial frames of reference, as if forces, relative motion |
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Week - 7 |
Coordinate systems that perform rotational and translational movements |
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Week - 8 |
Classification of Mechanical Systems: Discrete and continuous systems, holonomic and non-holonomic systems, conservative and nonconservative systems, rheonomic and scleronomic systems. |
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Week - 9 |
Principle of Vital Works and D'Alambert's Theorem |
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Week - 10 |
otational Motion of Rigid Bodies: Euler angles, moments of inertia and inertia multipliers |
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Week - 11 |
Lagrangian Equations: Degrees of freedom, generalized coordinates |
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Week - 12 |
Lagrangian Equations: Lagrangian equations for conservative systems, application of Lagrangian equations to particle systems. |
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Week - 13 |
Hamilton's Equations: Generalized momenta and phase space. |
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Week - 14 |
Hamilton's Equations: Hamilton's equations for conservative systems. Application of Hamilton's equations to particle systems. |
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