Answer:
[tex]\theta _A=155.25^{\circ}[/tex]
Explanation:
Given that
[tex]D_B=500 mm,D_A=200 mm[/tex]
Distance between pulleys= 700 mm
We have to find contact angle
In general application pulleys are connects in open configuration,So the contact angle given as follows
For small pulley
[tex]\theta _A=\pi +2sin^{-1}\dfrac{R_A-R_B}{C}[/tex]
[tex]\theta _A=\pi +2sin^{-1}\dfrac{100-250}{700}[/tex]
[tex]\theta _A=155.25^{\circ}[/tex]