Question

The schematic of an external drum rotating clockwise engaging with a short shoe is shown in the figure. The shoe is mounted at point Y on a rigid lever XYZ hinged at point X. A force ๐น = 100 ๐‘ is applied at the free end of the lever as shown. Given that the coefficient of friction between the shoe and the drum is 0.3, the braking torque (in Nm ) applied on the drum is _______ (correct to two decimal places).


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Answer :

1.18

ฮฃM= 0

100*300 + ยตRN*300 = RN*200

100*300 + 0.3*RN*300 = RN*200

                                   300 = 1.1RN

                                      RN= 272.72 N

Braking Torque = ยตRN*R= 0.3*272.72*0.100 = 8.18 Nm

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