The caster wheel is subjected to the two couples 2


The caster wheel is subjected to the two couples. Determine the forces F that the bearings exert on the shaft so that the resultant couple moment on the caster is zero.

The caster wheel is subjected to the two couples

Image from: Hibbeler, R. C., S. C. Fan, Kai Beng. Yap, and Peter Schiavone. Statics: Mechanics for Engineers. Singapore: Pearson, 2013.

Solution:

Let us write a moment equation assuming clockwise rotation is positive.

\circlearrowright^+ \sum M_A=0;

0=(-500)(50)+(F)(40)

(Remember that our resultant couple moment on the caster should be zero, so our net moment is 0. Also, note that we did not convert mm to m as this was not necessary.)

F=625 N

 

This question can be found in Engineering Mechanics: Statics (SI edition), 13th edition, chapter 4, question 4-69.

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