This problem illustrates the two contributions to the kinetic energy of an exten

Question

This problem illustrates the two contributions to the kinetic energy of an extended object: rotational kinetic energy and translational kinetic energy. You are to find the total kinetic energy of a dumbbell of mass m when it is rotating with angular speed omega and its center of mass is moving translationally with speed v. Denote the dumbbell's moment of inertia about its center of mass by I_cm. 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 I_cm = mr^2 , but this fact will not be necessary for this problem.

http://session.masteringphysics.com/problemAsset/1011030/24/MRB_ke_11_001.jpg
Find the total kinetic energy K_tot of the dumbbell.

Express your answer in terms of m, v, I_cm, and omega.

Explanation / Answer

1/2mv^2+1/2Iomega^2

Related Questions

Navigate

• Browse (All)
• Browse T
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.