# Sliding Dumbbell

Classical Mechanics Level 4

A dumbbell is constructed by fixing small balls each of mass $$6\text{ kg}$$ at the ends of a light rod of length $$135 \text{ m}$$. The dumbbell stands vertically in the corner formed by a friction-less floor. After the bottom end is slightly pushed to the right the dumbbell starts to slide. Acceleration due to gravity is $$10 \text{ m/s}^{2}$$. Find the speed of lower ball (in $$\text{m/s}$$) when the upper ball is leaving the wall.

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