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This question belongs to Mechanical Engineering Theory Of Machine

Theory of Machine

?

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 & Solution

Correct Answer: Option A

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