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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 theta is

  1. 2 v s i n invisible function application open parentheses fraction numerator theta over denominator 2 end fraction close parentheses    
  2. v s i n invisible function application theta    
  3. 2 v c o s invisible function application open parentheses fraction numerator theta over denominator 2 end fraction close parentheses    
  4. v c o s invisible function application theta    

The correct answer is: 2 v c o s invisible function application open parentheses fraction numerator theta over denominator 2 end fraction close parentheses

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