GATE ME 2025 Set 1 — Question 26
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Engineering Mechanics → Dynamics → Kinematics of Rigid Bodies
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Question
A rigid circular disc of radius (in m) is rolling without slipping on a flat surface as shown in the figure below. The angular velocity of the disc is (in rad s). The velocities (in m s) at points and , respectively, are
Correct answer
(A) rω i and 0 i
Solution
For a disc rolling without slipping:
1.The velocity of the center is given by . Given the clockwise rotation and the coordinate system, .
2.The point of contact with the ground is the instantaneous center of zero velocity (ICR) for pure rolling. Thus, .
Therefore, the velocities are and .Continue learning with Success Tracker
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