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).

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Chapter10: Fixed-axis Rotation
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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).
Figure 1. Dumbbell rotating and translating for problem 2.
Transcribed Image Text: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). Figure 1. Dumbbell rotating and translating for problem 2.
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