GATE ME 2019 Set 2 — Question 52
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Machine Design → Machine Elements → Brakes, Clutches & Springs
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Question
A short shoe external drum brake is shown in the figure. The diameter of the brake drum is 500 mm. The dimensions mm, mm and mm. The coefficient of friction between the drum and the shoe is 0.35. The force applied on the lever N as shown in the figure. The drum is rotating anti-clockwise. The braking torque on the drum is ______ N·m (round off to two decimal places).
Correct answer
19 to 21
Solution
1.Identify given parameters:
- Drum diameter mm Radius mm = 0.25 m
- Lever dimensions: mm = 1 m, mm = 0.5 m, mm = 0.2 m
- Coefficient of friction
- Applied force N
- Drum rotation: Anti-clockwise
Taking moments about the hinge :
- The applied force creates a counter-clockwise moment:
- The normal reaction from the drum creates a clockwise moment:
- Since the drum rotates anti-clockwise, the friction force on the shoe acts to the left. This friction force creates a counter-clockwise moment about the hinge because its line of action is at a distance above the hinge:
N
4.Braking Torque Calculation:
N·mRounding to two decimal places, the braking torque is 20.35 N·m.Continue learning with Success Tracker
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