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 : |
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(a) |
FR |
(b) |
FR/3 |
(c) |
FR/2 |
(d) |
FR/6 |
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 |
Consider a strip of radius x thickness dx,
Torque due to friction on this strip.
=
.
correct answer is (a)