What is the velocity at the contact point between the object and the surface on rolling motion?

Question

BlackTom AI · Accepted Answer

Question: What is the velocity at the contact point between the object and the surface on rolling motion?

Option a: The velocity is zero
Explanation: For pure rolling without slipping, the instantaneous velocity of the contact point relative to the surface is zero because the translational motion of the center of mass and the rotational motion about the center cancel at the point of contact.

Option b: The velocity is in the opposite direction to the object’s motion
Explanation: This would imply the contact point moves opposite to the center-of-mass motion relative to the surface, which is not the case in pure rolling; the contact point is momentarily at rest with respect to the surface, not moving backward.

Option c: The velocity may be in the same or opposite direction to the object’s motion
Explanation: In rolling without slipping, the contact point’s velocity is not variable in direction—it is zero relative to the surface; saying it may be in the same or opposite direction introduces ambiguity and is incorrect for pure rolling.

Option d: The velocity is in the same direction as the object
Explanation: If the contact point had a velocity in the same direction as the center’s motion, there would be slipping between the object and surface; this contradicts the no-slip condition of pure rolling.

Overall, the no-slip condition for rolling motion leads to a zero velocity at the contact point relative to the surface, making option a the correct characterization in this scenario.

What is the velocity at the contact point between the object and the surface on rolling motion?单项选择题

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