What is the relationship between sliding and rolling motion of a ball?

In summary, the conversation discusses a problem involving a ball of radius R on a horizontal plane, initially at rest, receiving a horizontal force at a point 1/3R from the plane and starting to move with initial velocity v_0. The question is at which velocity v will the ball start rolling. The participants consider the force and velocity's effect on the ball's angular velocity and discuss the possibility of the ball starting to roll counter clockwise when v becomes 0. A link to a related forum thread is also mentioned.
  • #1
Marin
193
0
hi there!

I considered the following problem:

a ball of radius R on a horizontal plain is at first in rest. Then it receives a horizontal force for a very short time at a point placed 1/3R from the plain and the ball starts moving with initial velocity v_0. There is also a friction when the ball slides.

the question is: at which velocity v will the ball start rolling?


here´s what I figured out:

the force initiates a torque such that the ball gets initial angular velocity w_0, counter clockwise. But the velocity v initiates another angular velocity w in clockwise direction. My assumption is that the ball will start rolling counter clockwise when the velocity v becomes 0.

what do you think?
 
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  • #2
any comments are welcome :)
 

1. What is the difference between sliding and rolling motion?

Sliding motion refers to an object moving along a surface without any rotational motion, while rolling motion involves both translational and rotational motion.

2. How do you determine if a ball is sliding or rolling?

A ball is considered to be sliding if its bottom surface is in contact with the surface it is moving on, while it is rolling if it has both a point of contact and an axis of rotation.

3. Which type of motion is more efficient, sliding or rolling?

Rolling motion is generally more efficient because it reduces friction between the object and the surface it is moving on, resulting in less energy loss.

4. Can an object exhibit both sliding and rolling motion?

Yes, an object can exhibit both sliding and rolling motion simultaneously. This is known as mixed motion.

5. How does the surface affect the type of motion a ball exhibits?

The surface an object is moving on can greatly impact the type of motion it exhibits. For example, a smooth surface will allow for more rolling motion, while a rough surface will result in more sliding motion.

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