A spool of wire rests on a horizontal surface as shown in figure. As the wire is pulled, the spool does not slip at contact point P. On separate trials, each one of the forces $F_{1}$ , $F_{2}$ , $F_{3}$ and $F_{4}$ is applied to the spool. For each one of these, the frictional force on the spool will be towards

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Left if $F_{2}$ is applied

Right if $F_{4}$ is applied

Left when vertical force $F_{3}$ is applied

Left if $F_{1}$ is applied

answer is A, B, C.

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Detailed Solution

Point of contact P is at rest. Taking torque of all the forces about point P we see that:
Torque is clockwise if F1 is applied i.e., spool will rotate clockwise.
Torque of F2 is zero i.e., spool will not rotate if F2 is applied.
Torque of F3= and F4= is anticlockwise i.e., spool will rotate anticlockwise if only F3 and F4 is applied.

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