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To mop-clean a floor, a cleaning machine presses a circular mop of radius R vertically down with a total force F and rotates it with a constant angular speed about its axis. If the force F is disturbed uniformly over the mop and if coefficient of friction between the mop and the floor is the torque applied by the machine on the mop is :

(a)

FR

(b)

FR/3

(c)

FR/2

(d)

FR/6


Question ID - 50226 | SaraNextGen Answer

To mop-clean a floor, a cleaning machine presses a circular mop of radius R vertically down with a total force F and rotates it with a constant angular speed about its axis. If the force F is disturbed uniformly over the mop and if coefficient of friction between the mop and the floor is the torque applied by the machine on the mop is :

(a)

FR

(b)

FR/3

(c)

FR/2

(d)

FR/6

1 Answer - 5876 Votes

3537

Answer Key : (a) -

    

Consider a strip of radius x  thickness dx,

Torque due to friction on this strip.

=

.

 

 correct answer is (a)



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