What is the velocity ratio for creep in the belt drive system for $$\sigma_1$$, being the stress in tight side, $$\sigma_2$$, being the stress on slack side and £ is the young’s modulus of elasticity of the belt material?

A

$$\frac{N_1}{N_2} = \frac{d_1}{d_2} \times \frac{E - \sqrt{\sigma_1}}{E - \sqrt{\sigma_2}}$$

B

$$\frac{N_1}{N_2} = \frac{d_1}{d_2} \times \frac{E + \sqrt{\sigma_2}}{E - \sqrt{\sigma_1}}$$

C

$$\frac{N_1}{N_2} = \frac{d_1}{d_2} \times \frac{E + \sqrt{\sigma_2}}{E + \sqrt{\sigma_1}}$$

D

$$\frac{N_1}{N_2} = \frac{d_1}{d_2} \times \frac{E - \sqrt{\sigma_2}}{E + \sqrt{\sigma_1}}$$