A flat surface of a thin uniform disk A of radius R is glued to...
A flat surface of a thin uniform disk of radius is glued to a horizontal table. Another thin uniform disk of mass and with the same radius rolls without slipping on the circumference of , as shown in the figure. A flat surface of also lies on the plane of the table. The center of mass of has fixed angular speed about the vertical axis passing through the center of . The angular momentum of is with respect to the center of . Which of the following is the value of ?
The centre of mass of has angular velocity about the centre of . Therefore, the velocity of the centre of is
.
The point of contact of and is at rest therefore, the angular velocity of will be,
Now the angular momentum of with respect to centre of
Comparing the magnitude with
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