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Question

A slender rod of mass m and length L is pivoted about a horizontal axis through one end and released from rest at an angle of 30° above the horizontal. The force exerted by the pivot on the rod at the instant when the rod passes through a horizontal position is

  1. square root of fraction numerator 10 over denominator 4 end fraction end root mg along horizontal    
  2. mg along vertical    
  3. square root of fraction numerator 10 over denominator 4 end fraction end root mg along a line making an angle of t a n to the power of negative 1 end exponent invisible function application open parentheses fraction numerator 1 over denominator 3 end fraction close parentheses with the horizontal.    
  4. fraction numerator square root of 10 over denominator 4 end fraction m g along a line making an angle of t a n to the power of negative 1 end exponent invisible function application left parenthesis 3 right parenthesis with the horizontal.    

The correct answer is: square root of fraction numerator 10 over denominator 4 end fraction end root mg along a line making an angle of t a n to the power of negative 1 end exponent invisible function application open parentheses fraction numerator 1 over denominator 3 end fraction close parentheses with the horizontal.

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