In a flat collar pivot bearing, the moment due to friction is proportional to

A $$\frac{{{\text{r}}_1^2 - {\text{r}}_2^2}}{{{{\text{r}}_1} - {{\text{r}}_2}}}$$
B $$\frac{{{\text{r}}_1^2 - {\text{r}}_2^2}}{{{{\text{r}}_1} + {{\text{r}}_2}}}$$
C $$\frac{{{\text{r}}_1^3 - {\text{r}}_2^3}}{{{\text{r}}_1^2 - {\text{r}}_2^2}}$$
D $$\frac{{{\text{r}}_1^3 - {\text{r}}_2^3}}{{{{\text{r}}_1} - {{\text{r}}_2}}}$$

Correct Answer: $$\frac{{{\text{r}}_1^3 - {\text{r}}_2^3}}{{{\text{r}}_1^2 - {\text{r}}_2^2}}$$

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