Project ForgeTheory of Machines
Kinematics of Mechanisms
GATE 2014
Easy
A circular object of radius r rolls without slipping on a horizontal level floor with the center having velocity V. The velocity at the point of contact between the object and the floor is
- zero
- BV in the direction of motion
- CV opposite to the direction of motion
- DV vertically upward from the floor
Explanation
"Rolling without slipping" is defined precisely by the contact point having zero relative velocity with the floor — it is the instantaneous center of rotation of the rolling body.
Source: GATE ME 2014 (Session 1 / Set-1) (2014)
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