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Classical Mechanics

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Moderate

Speed at the Bottom of a Rolling Sphere

CLMECH-NDOMIK

A sphere of radius $R = 0.21 \space m$ rolls without slipping on a horizontal surface, so that its center of mass moves at constant acceleration $a_{CM} = 0.063 \space \frac {m}{s^2}$. The position of the sphere $2.5 \space s$ from the beginning of its motion is shown in the figure.

Find the speed of point D with respect to the surface. Assume that the sphere starts from rest.

A

$0.00 \frac {m}{s}$

B

$0.16 \frac {m}{s}$

C

$0.23 \frac {m}{s}$

D

$0.32 \frac {m}{s}$