Apple Rolling: Why Does It Always Roll on Its Side?

In summary, the conversation discusses the rolling motion of an apple and the reasons behind why it rolls on its side instead of over its stem continuously. The shape of the apple, with its largest radius around its "equator," plays a key role in determining the stability of its roll axis. The conversation also mentions the difference in stability between the apple and a football, with the football having multiple stable spin axes due to its shape and density. The complexity of the apple's shape is also highlighted, with the suggestion to observe the rolling motion of different apples to gain a better understanding.
  • #1
Psyguy22
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0
I was walking down the street kicking and apple (why? I don't know) and I noticed that an apple, after a couple of bounces, always rolls on its side. It doesn't roll over it's stem continuosly. I was wondering why?
 
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  • #2
Because of it's shape.

Simpler case: watch a football (the oval kind) roll - try making it roll end-over-end.
One way is unstable - small changes in the situation will knock it off that line.
 
  • #3
Well, yes, the shape... but you have to say more than that. In fact, more than I will say because I know little.

The typical apple has its largest radius around its "equator" if you call the stem end the North pole.
When you kick it, its movement across the ground produces friction, which puts the apple in a spin...
For an object that is close to round and uniformly dense, any random initial spin orientation that does not position the additional mass of excess radius deviations furthest from the axis of rotation will be subject to torques that act to do so... There is a Coriolis effect when the excess mass of the larger radial distance locations are not aligned to the rolling ground contact line around the apple.

In the apple, the "equatorial" line described above comprises those locations furthest from the center and their addition mass and longer lever arm will torque the axis of rotation until the axis of rotation is through the stem and its opposing counterpart - whatever that little belly button thing is called opposite the stem.

So basically, the apple spin axis is stable when the most mass is furthest from the axis of rotation... that "most furthest mass" is "equatorial" but it can't redistribute so the Coriolis torques shift the axis to be "polar" through the stem.
Because the apple is rolling, the friction and the longer lever arms of the excess radial deviations are additionally acting to torque the axis of rotation... perhaps a little chaotically until stable reorientation is complete?

Now, the radial deviations are really about mass distribution from the center of mass, and density if that varies. In the apple, the density is close to uniform, but in the football there are two differences.
1] The density is not uniform, it is a skin holding air. The football has multiple stable spin axes because of physical symmetries and a more complex mass distribution because of its shape and because it is hollow.
2] It includes the behavior that one of its preferred orientations of spin axis is through the long axis which does NOT place the longest radial distances (the ends) on the equatorial plane of rotation like the apple. This longitudinal spin axis may be putting the most surface mass furthest from the center of rotation (I'm not sure), or there may be other things going on...
 
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  • #4
Well, yes, the shape... but you have to say more than that.
Eventually, sure. This is a discussion not a thesis. I'd prefer to see how OP understands things before writing a novel.

The typical apple has its largest radius around its "equator" if you call the stem end the North pole.
Not in NZ they don't. Apples in NZ tend to roll in a circle due to being fatter at the stem end.

pole-over-pole motion of the apple makes for more bouncing because the shape is most variable around that line. More bouncing means more likely to change the roll axis - means less stable. Have a go rolling some apples and see.

apples are quite complicated shapes, and irregular, the point of watching the football roll was to get a feel for how a shape can contribute to a preferred stable roll axis (note "roll" is not "spin"). I did not mean anyone to think I was suggesting that a football rolls like an apple does. To understand complex shapes you must start with simpler ones.
 
  • #5


I can provide a possible explanation for why an apple tends to roll on its side rather than continuously rolling over its stem. This phenomenon is due to the apple's center of mass being located closer to its bottom (where the stem is attached) rather than its top. When the apple is kicked or bounces, the force of gravity causes it to rotate around its center of mass. Since the apple's center of mass is closer to its bottom, it is easier for the apple to rotate onto its side rather than continuously rolling over its stem. This can also be observed in other objects with uneven distribution of mass, such as eggs or cones. Additionally, the shape of the apple, with a slightly flattened bottom, may also contribute to its tendency to roll on its side.
 

1. Why do apples always roll on their side?

Apples have a unique shape that is round and slightly flattened on the top and bottom. This shape creates a center of gravity that is closer to one side, causing the apple to roll in that direction when it is set on a flat surface.

2. Does the type of surface affect an apple's rolling direction?

Yes, the type of surface can affect an apple's rolling direction. If the surface is uneven or has obstacles, the apple may roll in a different direction or even not roll at all. A smooth and flat surface allows the apple to roll more easily on its side.

3. Can the stem or other features of an apple affect its rolling behavior?

Yes, the stem and other features of an apple can affect its rolling behavior. A longer stem can shift the center of gravity and cause the apple to roll in a different direction. A flat or uneven stem can also affect the apple's rolling motion.

4. Are there any other factors that contribute to an apple's rolling behavior?

Yes, other factors such as the size and weight of the apple can also affect its rolling behavior. A larger and heavier apple may have a lower center of gravity, making it harder to roll on its side. Additionally, external factors such as wind or a slight incline on the surface can also impact an apple's rolling direction.

5. Can apples roll in a straight line?

While apples are more likely to roll on their side due to their shape and center of gravity, it is possible for them to roll in a straight line. If the surface is completely flat and the apple is perfectly balanced, it may roll in a straight line. However, this is not the most common behavior for apples and they will most likely roll on their side.

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