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Q.

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 F1 , F2  , F3  and F4  is applied to the spool. For each one of these, the frictional force on the spool will be towards 

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a

Left if F2 is applied

b

Right if F4 is applied

c

Left when vertical force F3 is applied

d

Left if  F1 is applied

answer is A, B, C.

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Detailed Solution

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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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