Is rolling resistance related to relative motion at the point of contact?

In summary: Remember, work is related to kinetic energy, which is a measure of the motion of the particles in an object. So if you're wondering why work done by the frictional force is zero, it's because there is a force (in the opposite direction of the displacement) as well as kinetic energy being transferred. Additionally, if the object is slipping, then there is relative motion between the surface of the object and the ground at the point of contact.
  • #1
iitjee10
57
0
When there is purely rolling motion in an inclined plane, it is mentioned that work done by the frictional force is zero!
Why should it be zero as there is definitely a force as well as displacement in opposite direction of force?
Is this true or for rolling motion there is some other significance?

Plzz help
 
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  • #2
iitjee10 said:
When there is purely rolling motion in an inclined plane, it is mentioned that work done by the frictional force is zero!
Why should it be zero as there is definitely a force as well as displacement in opposite direction of force?
Is this true or for rolling motion there is some other significance?

Plzz help
If the object is purely rolling, i.e. there is no slipping, what can you say about the [relative] velocity of the point of contact on the body and the inclined plane?
 
  • #3
iitjee10 said:
When there is purely rolling motion in an inclined plane, it is mentioned that work done by the frictional force is zero!
Why should it be zero as there is definitely a force as well as displacement in opposite direction of force?
Is this true or for rolling motion there is some other significance?

Plzz help
Remember that work is directly related to changes in kinetic energy.
Because changes in kinetic energy is related to changes in SPEED, rather than to changes in velocity, it follows that forces that ONLY change the direction of velocitiy (rather than changing its magnitude) do not do any work, in the sense of how work is defined in physics.
 
  • #4
what does it mean by relative motion between point of contact and ground?
 
  • #5
iitjee10 said:
what does it mean by relative motion between point of contact and ground?
Should be relative motion at the point of contact with the ground. If the object is slipping, then there is relative motion between the surface of the object and the ground at the point of contact. If the object is purely rolling, then there is zero relative motion between the surface of the object and the ground at the point of contact.

If you're wondering about rolling resistance, it's due to non-elastic (energy lost) deformations at the point of contact.
 

Related to Is rolling resistance related to relative motion at the point of contact?

1. What is rolling motion?

Rolling motion is a type of motion where an object moves along a surface while also rotating around its own axis.

2. How is energy involved in rolling motion?

In rolling motion, energy is involved in both the linear motion and rotational motion of the object. The object gains kinetic energy as it moves along the surface, and rotational kinetic energy as it rotates around its axis.

3. Is the energy involved in rolling motion different from other types of motion?

Yes, the energy involved in rolling motion is different from other types of motion because it includes both linear and rotational kinetic energy. In other types of motion, such as straight-line motion, only linear kinetic energy is involved.

4. How does the shape of an object affect the energy in rolling motion?

The shape of an object can affect the energy in rolling motion in a few ways. Objects with a larger radius of rotation have more rotational kinetic energy, while objects with a smaller radius of rotation have more linear kinetic energy. Additionally, objects with a larger surface area in contact with the surface will experience more friction and therefore require more energy to maintain rolling motion.

5. Can energy be conserved in rolling motion?

Yes, energy can be conserved in rolling motion as long as there is no external force acting on the object. In this case, the object will continue to roll with the same amount of kinetic energy, converting between linear and rotational kinetic energy as needed.

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