First slide

Rolling motion

Question

A ring of radius 2m is rolling without slipping with constant velocity of 2 m/s on a plane surface. At the point of contact with the surface, O is a point on the ring. Then acceleration of O is

Moderate

A

zero
B

4 m/s²
C

1 m/s²
D

2 m/s²

Solution

$\begin{array}{l} {\vec{a}}_{0} = {\vec{a}}_{c} + {\vec{a}}_{\frac{O}{C}} = o + (\frac{V^{2}}{R}) ↑ \\ solid : a_{0} = \frac{V^{2}}{R} = \frac{{(2)}^{2}}{2} m / s^{2} = 2 m / s^{2} \end{array}$

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