GATE ME 2019 Set 1 — Question 54
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Machine Design → Machine Elements → Brakes, Clutches & Springs
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Question
A single block brake with a short shoe and torque capacity of is shown. The cylindrical brake drum rotates anticlockwise at and the coefficient of friction is . The value of , in (round off to one decimal place), such that the maximum actuating force is , is ______.
Correct answer
212 to 213
Solution
1.Given Data:
- Torque
- Actuating force
- Coefficient of friction
- Drum radius (from diagram)
- Rotation: Anticlockwise
- Normal force acts upwards on the shoe.
- Friction force acts to the left on the shoe (since drum rotates anticlockwise).
- Pivot is at distance horizontally and vertically from the contact point.
Taking moments about the pivot (right end):
Wait, let's re-verify the direction. For anticlockwise rotation, the friction force on the shoe is to the left. If the pivot is above the contact point, the friction force creates an anticlockwise moment. The normal force creates an anticlockwise moment. creates a clockwise moment.
4.Torque Equation:
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