Two small, equal masses are attached by a light weight rod. This … - Vidyadip

MCQ

Two small, equal masses are attached by a light weight rod. This object orbits a planet ; the length of the rod is smaller than the radius of the orbit, but not negligible. The rod rotates about its axis in such a way that it remains vertical with respect to the planet. (Assume in each case perturbation maintains the rate of rotation, so that in the co-rotating frame the rod is still stationary but at an angle to the vertical.)

A
There is no force in the rod; the equilibrium is neutral with respect to a small perturbation in the angle of the rod
✓
The rod is in tension; the equilibrium is stable with respect to a small perturbation in the angle of the rod
C
The rod is in compression; the equilibrium is stable with respect, to a small perturbation in the angle of the rod
D
The rod is in tension; the equilibrium is unstable with respect to a small perturbation in the angle of the rod

✓

Answer

Correct option: B.

The rod is in tension; the equilibrium is stable with respect to a small perturbation in the angle of the rod

b

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