Due: 11 Kinetic Energy of a Dumbbell Part A Score: This problem illustrates the

Question

Due: 11 Kinetic Energy of a Dumbbell Part A Score: This problem illustrates the two contributions to the Find the total kinetic energy Ktot of the dumbbell Express your answer in terms of m, v, Im, and w. kinetic energy of an extended object rotational kinetic energy and translational kinetic energy You are to find the total kinetic energy Kiotal of a dumbbell of mass m when it is rotating with angular speed and its center of mass is moving translationally with speed v. (Figure 1) Denote the dumbbell's moment of inertia about its center of mass by Icm Note that if you approximate the spheres as point masses of mass m/2 each located a distance r from the center and ignore the moment of inertia of the connecting rod, then the moment of inertia of the dumbbell is given by mr, but this fact will not be Hints Items 1 1. Exer necessary for this problem. SubmitMy Answers Give Up 3. Kinet Part B This question will be shown after you complete previous question(s) 5. Mo Phovide Feochack Continue 6. Para 7 Prob Figure 1 8. Pro 9 Exer 10. E 11 E 12 E

Explanation / Answer

Part-A

translation kinetic energy= 0.5*mtotal*vcm^2
= 0.5*m*v^2

rotational kinetic energy = 0.5*Icm*w^2

so,
total kinetic energy = 0.5*m*v^2 + 0.5*Icm*w^2

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