# The spool shown in the figure is placed on a rough horizontal surface and has inner radius  and outer radius . The angle  between the applied force and the horizontal can be varied. The critical angle (  for which the spool does not roll and remains stationary is given by a) b) c) d)

## Question ID - 100262 :- The spool shown in the figure is placed on a rough horizontal surface and has inner radius  and outer radius . The angle  between the applied force and the horizontal can be varied. The critical angle (  for which the spool does not roll and remains stationary is given by a) b) c) d)

3537

(a)

If the spool is not to translate,

…(i)

If the spool is not to rotate,

…(ii)

or

or

Also the line of action of  should pass through the bottom most point

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