Answer to Question #154534 in Physics for Awesome

Question

Two hollow spheres of radius R=10\,\mathrm{cm}

R=10cm are made of copper and connected with a cylindrical copper rod of length L=1\,\mathrm{m}

L=1m and radius r=1\,\mathrm{mm}

r=1mm. The total mass of this dumbbell-like system is m=150\,\mathrm{g}

m=150g. The entire system is in a very strong magnetic field B=2\,\mathrm{MT}

B=2MT which is perpendicular to the rod. This “dumbbell” is given an initial velocity v=1\,\mathrm{m/s}

v=1m/s which is parallel to the direction of the rod. However, this orientation is unstable: the “dumbbell” will start oscillating; eventually, these oscillations decay so that the “dumbbell” will take a stable orientation and a new final speed u

u. Find an expression for this terminal speed u

u analytically and evaluate it numerically. The “dumbbell” moves in weightlessness in a total vacuum.

Answer 1

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