Physics · Gravitation
Three particles of equal mass M, interacting via gravity, lie on the vertices of an equilateral triangle of side d. The whole system is rotating with an angular velocity ω about an axis perpendicular to the plane of the system and passing through the center of mass. The value of ω, for which the distance between the masses remains d, is (G is the universal gravitational constant):
Verified Solution4 OptionsUpdated: October 2026👁️1 View
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- 1√(GMd3)
- 2√(GM3d3)
- 3√(3GMd3)✓
- 4√(2GMd3)
Correct answer
√(3GMd3)
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