A barbell consists of two massive balls connected by a low-mass rod. The barbell

Question

A barbell consists of two massive balls connected by a low-mass rod. The barbell slides across a low-friction icy surface, spinning as it moves, as shown in the diagram. The mass m of each ball is 0.8 kg. The distance d between the centers of the balls is 0.37 m. The speed v of the center of mass of the barbell is 0.49 m/s, and the barbell makes one complete revolution in 4 seconds.

What is the translational kinetic energy of the barbell?
Ktrans =  J
Considering only the motion of the barbell relative to its center of mass, what is the speed of one ball as it rotates around the center of the barbell?
vrot =  m/s
What is the rotational kinetic energy of the barbell? (This is the kinetic energy associated with motion relative to the center of mass.)
Krot =  J
What is the total kinetic energy of the barbell?
Ktot =  J

Explanation / Answer

rotational and transational KE formulas can be used

KEtrans of barbel=mbvb2/2

KErot=mbrbvb2/rb

total KEb=KEtran+KErot

all the values are given

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