GATE ME 2018 Set 1 — Question 63
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Machine Design → Machine Elements → Brakes, Clutches & Springs
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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 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).
(All dimensions are in mm)
Correct answer
8 to 9
Solution
1.Identify Forces:
- Applied force N at Z.
- Normal force at Y acting upwards on the shoe.
- Friction force acting on the shoe. Since the drum rotates clockwise, the friction force on the shoe acts to the right.
Taking moments about point X ():
- Moment due to : (clockwise)
- Moment due to : (counter-clockwise)
- Moment due to : (clockwise, as Y is 300 mm below X vertically)
N
3.Calculate Braking Torque ():
m (since mm)
Nm.Thus, the braking torque is approximately 8.18 Nm.
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