Show that the ball must move in a circle

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Reference no: EM131383579

Two hollow spheres have radii a and b (b > a), and their common centre O is fixed. A rigid ball of radius 1 2 (b - a) can move in the annular space between the spheres and is gripped by them so that it does not slip.

The spheres are made to rotate with constant angular velocities ω₁, ω₂ respectively. Show that the ball must move in a circle whose plane is perpendicular to the vector aω₁ + bω₂.

Reference no: EM131383579

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