Find the total kinetic energy of a dumbbell of total mass m when it is rotating at an angular speed of w, and its center of mass is moving translationally with a speed of v. Denote the dumbell's moment of inertia about its center of mass as Icm. If you approximate the spheres as point mass of m/2 each located at a distance of r from the center, you can find an approximation for the center of mass (though it is not required for this problem).

Find the total kinetic energy of a dumbbell of total mass m when it is rotating at an angular speed of w, and its center of mass is moving translationally with a speed of v. Denote the dumbell's moment of inertia about its center of mass as Icm. If you approximate the spheres as point mass of m/2 each located at a distance of r from the center, you can find an approximation for the center of mass (though it is not required for this problem).

Classical Dynamics of Particles and Systems

5th Edition

ISBN:9780534408961

Author:Stephen T. Thornton, Jerry B. Marion

Publisher:Stephen T. Thornton, Jerry B. Marion

Chapter9: Dynamics Of A System Of Particles

Section: Chapter Questions

Problem 9.5P

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