GATE Mechanical Engineering (ME) 2018 Shift 1 Solved Paper

Question : 54 of 65

Marks: +1, -0

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

F=10 {N}

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).

Solution:

Σ M_{0}=0

F × 300+ {f} × 300= {RN} × 200

100 × 300+µ R_{N} × 300=R_{N} × 200

100 × 300+0.3 × R_{N} × 300=R_{N} × 200

300=1.1 R_{N}

R_{N}=272.72 {N}

Braking torque

=µ R_{N} × R=0.3 × 272.72× 0.100=8.18 {Nm}

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