Physics-
General
Easy

Question

The spool shown in figure is placed on rough horizontal surface and has inner radius r and outer radius R. The angle q between the applied force and the horizontal can be varied. The critical angle (theta) for which the spool does not roll and remains stationary is given by

  1. theta equals c o s to the power of negative 1 end exponent invisible function application open parentheses fraction numerator r over denominator R end fraction close parentheses    
  2. theta equals c o s to the power of negative 1 end exponent invisible function application open parentheses fraction numerator 2 r over denominator R end fraction close parentheses    
  3. theta equals c o s to the power of negative 1 end exponent invisible function application square root of fraction numerator r over denominator R end fraction end root    
  4. theta equals s i n to the power of negative 1 end exponent invisible function application open parentheses fraction numerator r over denominator R end fraction close parentheses    

The correct answer is: theta equals c o s to the power of negative 1 end exponent invisible function application open parentheses fraction numerator r over denominator R end fraction close parentheses

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