GATE ME 2016 Set 2 — Question 19
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Engineering Mechanics → Machine Elements → Belt, Brake, Clutch & Screw Friction
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Question
The forces and in a brake band and the direction of rotation of the drum are as shown in the figure. The coefficient of friction is 0.25. The angle of wrap is radians. It is given that m and N. The torque (in N-m) exerted on the drum is _________

Correct answer
2.2 to 2.3
Solution
For a band brake, the relationship between the tight side tension () and slack side tension () is .
Given:
Coefficient of friction
Angle of wrap radians
Radius m
Slack side tension N (since rotation is clockwise, is the tight side and is the slack side).Calculating tight side tension :
N.The torque exerted on the drum is:
N-m.
Given:
Coefficient of friction
Angle of wrap radians
Radius m
Slack side tension N (since rotation is clockwise, is the tight side and is the slack side).Calculating tight side tension :
N.The torque exerted on the drum is:
N-m.
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