Marble in a bowl
Classical Mechanics
Level
1
Consider an immovable bowl in the shape of a perfect hemisphere with radius \(R = 19 \text{ cm},\) as shown in the diagram below. Now, place a spherical marble with radius \(r = 1 \text{ cm}\) on the edge of the bowl \((\)point \(A)\) and let it roll.
How long does the marble take to reach the bottom of the bowl \((\)point \(B)?\)
Assume that \(g = \SI[per-mode=symbol]{10}{\meter\per\second\squared}.\)
by
Markus Michelmann