Answer: Show that the frictional relationship between the

Chapter 8, Problem 8-98

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QUESTION:

Show that the frictional relationship between the belt tensions, the coefficient of friction m, and the angular contacts a and b for the V-belt is \(T_{2}=T_{1} e^{\mu \beta / \sin (\alpha / 2)}\).

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QUESTION:

Show that the frictional relationship between the belt tensions, the coefficient of friction m, and the angular contacts a and b for the V-belt is \(T_{2}=T_{1} e^{\mu \beta / \sin (\alpha / 2)}\).

ANSWER:

Problem 8-98

        

                                                               Step by Step Solution

Step 1 of 6

First we will draw the free body diagram of a differently small element of a V-belt.

Note that the V-belt is connected by two surface areas to the pulley,hence there are two normal reaction forces acting at the element,and frictional forces acting at it shown at the x-y projection.

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