GATE ME 2024 Set 1 — Question 59
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Machine Design → Machine Elements → Brakes, Clutches & Springs
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Question
A band brake shown in the figure has a coefficient of friction of 0.3. The band can take a maximum force of 1.5 kN. The maximum braking force (F) that can be safely applied is _______ N (rounded off to the nearest integer).
Correct answer
115 to 119
Solution
1.Identify tight and slack sides:
The drum rotates counter-clockwise (CCW). The band is wrapped over the top. Friction acts in the direction of rotation on the band, pulling it from the right attachment towards the left attachment. Thus, the left attachment (at the fulcrum) is the tight side () and the right attachment (at ) is the slack side ().2.Calculate band tensions:
The maximum force the band can take is .The ratio of tensions is given by .
Here, and radians.
.
3.Calculate the braking force F:
Taking moments about the fulcrum for the lever:.
Rounding to the nearest integer, .
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