Two pulleys of radii r1 and r2 and at distance x apart are connected by means of an open belt drive. The length of the belt is Options: A . &nbsp$$\pi \left( {{{\text{r}}_1} + {{\text{r}}_2}} \right) + \frac{{{{\left( {{{\text{r}}_1} + {{\text{r}}_2}} \right)}^2}}}{{\text{x}}} + 2{\text{x}}$$ B . &nbsp$$\pi \left( {{{\text{r}}_1} + {{\text{r}}_2}} \right) + \frac{{{{\left( {{{\text{r}}_1} - {{\text{r}}_2}} \right)}^2}}}{{\text{x}}} + 2{\text{x}}$$ C . &nbsp$$\pi \left( {{{\text{r}}_1} - {{\text{r}}_2}} \right) + \frac{{{{\left( {{{\text{r}}_1} - {{\text{r}}_2}} \right)}^2}}}{{\text{x}}} + 2{\text{x}}$$ D . &nbsp$$\pi \left( {{{\text{r}}_1} - {{\text{r}}_2}} \right) + \frac{{{{\left( {{{\text{r}}_1} + {{\text{r}}_2}} \right)}^2}}}{{\text{x}}} + 2{\text{x}}$$

Two pulleys of radii r1 and r2 and at distance x apart are connected by means of

Question

Two pulleys of radii r1 and r2 and at distance x apart are connected by means of an open belt drive. The length of the belt is

Options:

A . $$\pi \left( {{{\text{r}}_1} + {{\text{r}}_2}} \right) + \frac{{{{\left( {{{\text{r}}_1} + {{\text{r}}_2}} \right)}^2}}}{{\text{x}}} + 2{\text{x}}$$

B . $$\pi \left( {{{\text{r}}_1} + {{\text{r}}_2}} \right) + \frac{{{{\left( {{{\text{r}}_1} - {{\text{r}}_2}} \right)}^2}}}{{\text{x}}} + 2{\text{x}}$$

C . $$\pi \left( {{{\text{r}}_1} - {{\text{r}}_2}} \right) + \frac{{{{\left( {{{\text{r}}_1} - {{\text{r}}_2}} \right)}^2}}}{{\text{x}}} + 2{\text{x}}$$

D . $$\pi \left( {{{\text{r}}_1} - {{\text{r}}_2}} \right) + \frac{{{{\left( {{{\text{r}}_1} + {{\text{r}}_2}} \right)}^2}}}{{\text{x}}} + 2{\text{x}}$$

Answer: Option B

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