GATE ME 2015 Set 1 — Question 23
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Engineering Mechanics → Dynamics → Instantaneous Center of Rotation
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Question
A wheel of radius rolls without slipping on a horizontal surface shown below. If the velocity of point is in the horizontal direction, the magnitude of velocity of point (in ) is ________
Correct answer
20 to 20
Solution
1.In pure rolling, the point of contact with the ground is the instantaneous center of rotation (ICR).
2.The velocity of any point is , where is the distance from the ICR.
3.For the center , . Thus, .
4.For the top point , . Thus, .
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