A hoop rolls on a horizontal ground without slipping with linear speed v. Speed of a particle P on the circumference of the hoop at angle $\mathrm{\theta }$ is:

• A

  2v sin ($\frac{\mathrm{\theta }}{2}$)

• B

  $\mathrm{v} \sin \mathrm{\theta }$

• C

  $2\mathrm{v} \cos \left(\frac{\mathrm{\theta }}{2}\right)$

• D

  $\mathrm{v} \cos \mathrm{\theta }$