GATE ME 2014 Set 1 — Question 19
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Engineering Mechanics → Dynamics → Instantaneous Center of Rotation
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Question
A circular object of radius rolls without slipping on a horizontal level floor with the center having velocity . The velocity at the point of contact between the object and the floor is
Correct answer
(A) zero
Solution
In pure rolling (rolling without slipping), the velocity of the point of contact is the vector sum of the translational velocity of the center of mass and the tangential velocity due to rotation .For an object moving in the direction:
- For no slipping, , so . The rotation is clockwise, so .
- The position of the contact point relative to the center is .
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