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Main
UQU Programs
Physics

Advanced Classical Mechanics

PHYS2502
3 hours English

Advanced Classical Mechanics

Advanced Classical Mechanics PHYS
PHYS2501 Classical Mechanics
3 hours One requisite
1 Mechanics of Rigid Bodies, Planar Motion / • Center of mass of a rigid body. / • Some theorems of static equilibrium of rigid body. / • Rotation of a rigid body about a fixed axis (moment of inertia). / • Calculation of the moment of inertia. / • The physical pendulum. / • General theorem concerning angular momentum. / • Laminar motion of rigid body
2 Motion of Rigid Bodies in Three Dimensions / • Angular momentum of a rigid body, Products of inertia. / • Use of matrices in rigid body dynamics (the inertia tensor). / • Determination of principle axes. / • Rotational kinetic energy of a rigid body. / • Moment of inertia of a rigid body about an arbitrary axis, the momental ellipsoid. / • Euler’s equation of motion of a rigid body. / • Free rotation of a rigid body under no forces. Geometric description of the motion. / • Free rotation of a rigid body with an axis of symmetry. Analytical / treatment
3 Lagrangian Mechanics / • Generalized coordinates. / • Generalized forces. / • Lagrange’s equations. / • Some Applications of Lagrange’s equations. / • Generalized moments ignorable coordinate. / • Lagrange’s equations for impulsive forces. / • Hamilton’s variational principle. / • The Hamiltonian function (Hamiltonian equation)
1.1 Mapped to: K1

Define the moment of inertia of a body.

Teaching Strategy Lectures.
Assessment Methods Exams, Quizzes, Homework.
2.1 Mapped to: S1

Apply Lagrangian and Hamiltonian mechanics to solve problems.

Teaching Strategy Lectures.
Assessment Methods Exams, Quizzes, Homework.
2.2 Mapped to: S2

Calculate the center of mass of a rigid body.

Teaching Strategy Lectures.
Assessment Methods Exams, Quizzes, Homework.
3.1 Mapped to: V1

Work individually or within a team in research projects with high professionalism.

Teaching Strategy Lectures.
Assessment Methods Exams, Quizzes, Homework.
Assessment
Weight
Mid-term Exam
30%
Homework’s & Quizzes
20%
Final Exam
50%
Total
100%