Find the total kinetic energy Ktot of a dumbbell of mass m when it is rotating with angular speed Ï and its center of mass is moving translationally with speed v. Denote the dumbbell's moment of inertia about its center of mass by Icm. Note: 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 Icm=mr^2, but this fact will not be necessary for this problem. Required:
Find the total kinetic energy Ktot of the dumbell.

Explanation:

Total kinetic energy of dumbbell = translational kinetic energy + Rotational kinetic energy

Translational kinetic energy = 1/2 m v²

Rotational kinetic energy = 1/2 x moment of inertia about CM  x angular speed

= 1/2  x Icm x Ï ²

Total kinetic energy

Ktot = 1/2 m v² + 1/2  x Icm x Ï ²

the moon affects the earth gravitation ally, causing certain motions of that body and also producing tides in its ocean and atmosphere. the tidal wave in our atmosphere is, however, far too minute to be an effective cause in any known meteorological phenomenon.

explanation:

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