For an isochronous Hartnell governor (where r1 and r2 = Maximum and minimum radius of rotation of balls respectively, S1 and S2 = Maximum and minimum force exerted on the sleeve respectively and M = Mass on the sleeve)
A. $$\frac{{{\text{mg}} + {{\text{S}}_1}}}{{{\text{mg}} + {{\text{S}}_2}}} = \frac{{{{\text{r}}_1}}}{{{{\text{r}}_2}}}$$
B. $$\frac{{{\text{mg}} - {{\text{S}}_1}}}{{{\text{mg}} - {{\text{S}}_2}}} = \frac{{{{\text{r}}_2}}}{{{{\text{r}}_1}}}$$
C. $$\frac{{{{\text{S}}_1}}}{{{{\text{S}}_2}}} = \frac{{{{\text{r}}_1}}}{{{{\text{r}}_2}}}$$
D. $$\frac{{{{\text{S}}_2}}}{{{{\text{S}}_1}}} = \frac{{{{\text{r}}_1}}}{{{{\text{r}}_2}}}$$
Answer: Option A
This Question Belongs to Mechanical Engineering >> Theory Of Machine
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