LOYOLA COLLEGE (AUTONOMOUS), CHENNAI – 600 034
... 4. Express the rotational kinetic energy of a body in terms of inertia tensor and angular velocity. 5. Determine ...
... 4. Express the rotational kinetic energy of a body in terms of inertia tensor and angular velocity. 5. Determine ...
On the Shoulders of Giants”
... Since x, y, and z are orthogonal and linearly independent, I can write a Lagrange’s EOM for each. In order to conserve space, I call x, y, and z to be dimensions 1, 2, and 3. ...
... Since x, y, and z are orthogonal and linearly independent, I can write a Lagrange’s EOM for each. In order to conserve space, I call x, y, and z to be dimensions 1, 2, and 3. ...
PHYS4330 Theoretical Mechanics HW #8 Due 25 Oct 2011
... dvi j,k j for any n variables vi , i = 1, 2, . . . , n. Hint: Think carefully how to take the derivative d/dvi . (2) (See Taylor 7.46.) Show that rotational symmetry implies the conservation of angular momentum explicitly in spherical polar coordinates. Consider the transformation (rα , θα , φα ) → ...
... dvi j,k j for any n variables vi , i = 1, 2, . . . , n. Hint: Think carefully how to take the derivative d/dvi . (2) (See Taylor 7.46.) Show that rotational symmetry implies the conservation of angular momentum explicitly in spherical polar coordinates. Consider the transformation (rα , θα , φα ) → ...
