A spool of mass `m` has moment of inertia `I= 2mR^(2)` about its axis of symmetry. The inner and outer radius of spool `R` and `2R` respectively. Thread is wounded on the inner cylinder and its one end is pulled a force `F` acting at angle `theta` with horizontal. The surface is sufficiently rough and th.e spool never slides on the surface.

Regarding to the direction of frictional force, which of the following statement is correct?

Options

A. For `0 le theta le 90^(@)`, it always acts leftwards
B. For `0 le theta le 60^(@)`, it acts leftwards and for `60^(@) le theta le 90^(@)` it acts rightwards
C. it becomes zero at certain angle `theta` between `0` to `90^(@)`
D. None of these

Answer

A