Questlon 3The simple handbrake shown in figure A has a drum diameter of 400mm and u =(a)0.35. The angle of lap is 200°. Calculate the brake torque, for clockwise rotation ofthe drum, if a force of 200N is applied.The handbrake in Question (a) has now been changed to a differential brake, as infigure B. Determine if the drum will or will not lock up for clock wise rotation of thedrum.(b)200N200

Answered: The simple handbrake shown in figure A…

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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Question

Questlon 3
The simple handbrake shown in figure A has a drum diameter of 400mm and u =
(a)
0.35. The angle of lap is 200°. Calculate the brake torque, for clockwise rotation of
the drum, if a force of 200N is applied.
The handbrake in Question (a) has now been changed to a differential brake, as in
figure B. Determine if the drum will or will not lock up for clock wise rotation of the
drum.
(b)
200N
200

Expert Solution

Step 1: Approach

Since in the first part of the question, it is given that one end of the rope is fixed and the drum is rotating clockwise, thus the tension in the fixed end of the rope will be greater than the tension in the rope which is attached to the handbrake.

The ratio of the tension in these two ropes is given by the relation,

$\frac{T_{1}}{T_{2}} = e^{μ θ}$

where, $T_{1} a n d T_{2}$ are the tension in the tight rope and the slack rope.

$μ$ is the friction between rope and the drum.

$θ$ is the angle of wrap of the rope on the drum

And then we will proceed by taking the summation of the moments produced by the force applied on the handbrake and by the slack force on the handbrake.