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lmao2plates
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Homework Statement
Two balls A and B simultaneously start to roll down without friction along
two different chords of a circle as shown in the figure. Find which ball will
hit the circle first? (image attached)
2. The attempt at a solution
I have divided the velocity of the balls into vector components, for A being mgcos(αA) and B being mgcos(αB).
Since αA > αB, and being in the first quadrant of the unit circle, I have concluded that mgcos(αA) < mgcos(αB).
However, I am stuck at how to determine which one will hit the circle first since B has to travel a longer distance that A.
I appreciate your assistance.