Advanced Dynamics-E2

Numbering Code U-LAS12 10033 LE57 Year/Term 2022 ・ Second semester
Number of Credits 2 Course Type Lecture
Target Year Mainly 1st year students Target Student For science students
Language English Day/Period Tue.4
Instructor name BANERJEE, Amit (Graduate School of Engineering Senior Lecturer)
Outline and Purpose of the Course This course aims to introduce advanced concepts of classical mechanics. Primary objective is to demonstrate how Newtonian mechanics can be used for understanding motions of rigid bodies, planetary motion, motion in a rotating frame. Mathematical framework necessary for understanding these concepts will also be introduced.
Course Goals (1) To build upon the ideas learnt in Fundamental physics A, (2) To introduce advanced concepts of dynamics of rigid bodies, (3) To encourage practical problem solving.
Schedule and Contents 1. Brief review of Cartesian, Spherical and Cylindrical coordinate systems, vector analysis and coordinate transformation, Newton's laws, inertial and non-inertial frames, center of mass (5 weeks)

2. Central forces, planetary motion and Kepler's laws (2 weeks)

3. Motion in non-inertial frame; Fictitious forces (2 weeks)

4. Simple motion of Rigid bodies, angular momentum, rotation along fixed axis, moment of inertia, conservation of angular momentum (2 weeks)

5. General motion of rigid bodies, inertia tensor, Euler equations of rigid body motion; Euler angles (3 weeks)

6. Feedback (1 Week)
Evaluation Methods and Policy Evaluation will be based on active participation (10%), one assignments (40%), Final exam (50 points).
Course Requirements Completion of Fundamental Physics A is required.
Study outside of Class (preparation and review) Following study materials and working on assignments
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