Rolling Motion of a Rigid Object

AI Thread Summary
Rolling without slipping refers to the condition where the point of contact between a rolling object, like a cylinder, and the surface has zero instantaneous speed, meaning there is no sliding. This condition creates a direct relationship between translational and rotational motion, expressed by the equation v = ωr, where v is translational speed, ω is angular velocity, and r is the radius. If slipping occurs, the surfaces slide against each other, disrupting this relationship and complicating the dynamics involved. The discussion emphasizes that slipping leads to a lack of a straightforward connection between the two types of motion. Understanding these principles is crucial for analyzing the motion of rigid objects in various physical contexts.
Bashyboy
Messages
1,419
Reaction score
5
Hello,

I am currently reading about what was given in the title of this thread. In my book, it discusses the motion of a cylinder rolling on a surface without slipping; the cylinder is rotating about an axis, and it's center of mass has translational motion. What exactly do they mean rolling without slipping? The book also mentions a relationship between the rotational and translation motion when there is no slipping, what would happen if there was slipping? Why wouldn't there be a relationship if there was slipping?
 
Physics news on Phys.org
Bashyboy said:
What exactly do they mean rolling without slipping?
Slipping means that the surfaces slide against each other; rolling without slipping means there's no sliding. The instantaneous speed of the point of contact with respect to the support surface is zero.
The book also mentions a relationship between the rotational and translation motion when there is no slipping, what would happen if there was slipping?
If the translational speed is just right compared to the rotational speed (v = ωr) then the surfaces will not slide or slip.
Why wouldn't there be a relationship if there was slipping?
There's no simple relationship if there is slipping.
 

Thread '1:1 versus 2:1 Mechanical Advantage debate'

The rope is tied into the person (the load of 200 pounds) and the rope goes up from the person to a fixed pulley and back down to his hands. He hauls the rope to suspend himself in the air. What is the mechanical advantage of the system? The person will indeed only have to lift half of his body weight (roughly 100 pounds) because he now lessened the load by that same amount. This APPEARS to be a 2:1 because he can hold himself with half the force, but my question is: is that mechanical...
View full post »

Thread 'Newton's first law?'

Some physics textbook writer told me that Newton's first law applies only on bodies that feel no interactions at all. He said that if a body is on rest or moves in constant velocity, there is no external force acting on it. But I have heard another form of the law that says the net force acting on a body must be zero. This means there is interactions involved after all. So which one is correct?
View full post »

Thread 'Free fall of person in a sled to direct horizontal motion by atmospheric resistance'

Let there be a person in a not yet optimally designed sled at h meters in height. Let this sled free fall but user can steer by tilting their body weight in the sled or by optimal sled shape design point it in some horizontal direction where it is wanted to go - in any horizontal direction but once picked fixed. How to calculate horizontal distance d achievable as function of height h. Thus what is f(h) = d. Put another way, imagine a helicopter rises to a height h, but then shuts off all...
View full post »

Similar threads

B Static friction needed for rolling without slipping
Replies
4
Views
2K
I Friction in rolling without slipping
Replies
7
Views
4K
B Rolling Motion Test: Take the Challenge and Justify Your Answers
Replies
37
Views
4K
I Confused about the axis of rotation in rotational motion w/o slipping
Replies
10
Views
3K
Rolling with slipping and conditions for not slipping
Replies
7
Views
3K
Pure rolling of sphere having non uniform mass density ?
Replies
2
Views
2K
I Equation of motion for a simple mechanical system
Replies
2
Views
2K
A question about rolling motion of a wheel on a frictionless surface
Replies
12
Views
5K
Kinetic Energy of a Cylinder Rolling Without Slipping
Replies
21
Views
4K
Rolling friction and static friction....
Replies
2
Views
2K

Hot Threads

Recent Insights

Back
Top