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The force balance in the tangential direction t gives :

, the above equation reduces to

...............................................................(A)

The force balance in the normal direction provides:

=................................................................ (B)

Application of Friction

(3) Normal reaction of the pulley dN

(4) Friction force

If we assume that d T is positive, the belt has tendency to slip towards left. Hence, the friction force has the direction as shown in the figure.