If we assume the marble is rolling instead of sliding then there necessarily must be friction between the bowl and the marble.
Marble in a bowl physics.
Find a bowl or basin that is shaped like a hemisphere on the inside.
The friction causes a torque which is not included in the op s computation.
Place a marble inside the bowl and tilt the bowl periodically so the marble rolls from the bottom of the bowl to equally high points on the sides of the bowl.
A fun physics activity from science buddies.
We can make it roll back and forth just as a marble would in a real bowl.
And at some instance of time then the atom will be on the right side of the bowl and a little bit later on the left side of the bowl.
Get a feel for the force required to maintain this periodic motion.
By science buddies on july 12 2012.
Marble in glass bowl purpose.
Start the marble rolling tangentially in the bowl to obtain an orbit then observe the effects of conservation of angular momentum.
When the jell o is set in each cup place a marble on the surface of the jell o in the center of the cup.
If one calculates.
To demonstrate orbits in a gravitational potential well.
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Place a marble inside the bowl and tilt the bowl periodically so the marble rolls from the bottom of the bowl to equally high points on the sides of the bowl.
Get a feel for the force required to maintain this periodic motion.
What is the restoring force and what role does the force you apply play in the simple harmonic motion shm of the marble.