Friction & Rolling Motion: Effects Explored

AI Thread Summary
Friction significantly influences the type of rolling motion an object experiences. When friction exceeds the required amount for rolling, the object tends to spin, while insufficient friction leads to sliding instead of rolling. The transition between rolling and sliding is affected by factors such as the mass of the object and the varying resistances of rolling versus sliding. A precise balance between rolling friction and sliding friction is difficult to maintain, as any motion tends to favor the path of least resistance. Ultimately, the dynamics of motion dictate that an object will either roll, slide, or a combination of both depending on the frictional forces at play.
drragonx
Messages
12
Reaction score
0
How does friction affect the type of rolling motion of an object. For instance, does having more friction than the required friction for rolling cause the object to spin?
 
Physics news on Phys.org
Friction is the resistance to motion. Force is required to overcome resistance then acceleration occurs and friction increases.
 
jerromyjon said:
Friction is the resistance to motion. Force is required to overcome resistance then acceleration occurs and friction increases.
I think you misunderstood me. A typical example is a ball rolling down an igloo from the top. The friction changes as it goes along the surface. So, when the ball starts sliding, is the friction less than or greater than required friction for rolling?
 
Now I think I understand your question... the line between rolling and sliding, would vary greatly depending I think mostly on the mass of the ball then on the rolling resistance versus the sliding resistance which would be less to slide or more to roll. Similar to a car skidding on ice, braking increases rolling resistance.
 
Correct me if i am wrong: The ball would spin (rotational>linear) if friction>required OR slid (linear>rotational) if friction<required. Finally, the ball would pure roll (vcm=rw) if friction=required.
 
It would be a razor sharp line where rolling friction = sliding friction... it is a dynamic situation, any way I think about it there is not a way to maintain a balance there. Even if the ball starts on a surface where these frictions are balanced, sliding would cause some rolling or rolling would cause some sliding. No matter what the ball is going down its just which ever the least resistive way to get there is.
 
I have recently been really interested in the derivation of Hamiltons Principle. On my research I found that with the term ##m \cdot \frac{d}{dt} (\frac{dr}{dt} \cdot \delta r) = 0## (1) one may derivate ##\delta \int (T - V) dt = 0## (2). The derivation itself I understood quiet good, but what I don't understand is where the equation (1) came from, because in my research it was just given and not derived from anywhere. Does anybody know where (1) comes from or why from it the...

Similar threads

Replies
9
Views
2K
Replies
7
Views
5K
Replies
2
Views
2K
Replies
3
Views
2K
Replies
6
Views
1K
Replies
2
Views
1K
Back
Top