Physics-
General
Easy

Question

A bob of mass M is suspended by a massless string of length L. The horizontal velocity v at position A is just sufficient to make it reach the point B. The angle theta at which the speed of the bob is half of that at A, satisfies

  1. theta equals fraction numerator pi over denominator 4 end fraction    
  2. fraction numerator pi over denominator 4 end fraction less than theta less than fraction numerator pi over denominator 2 end fraction    
  3. fraction numerator pi over denominator 2 end fraction less than theta less than fraction numerator 3 pi over denominator 4 end fraction    
  4. fraction numerator 3 pi over denominator 4 end fraction less than theta less than pi    

The correct answer is: fraction numerator 3 pi over denominator 4 end fraction less than theta less than pi


    Velocity of the bob at the point A
    v equals square root of 5 g L end root(i)
    open parentheses fraction numerator v over denominator 2 end fraction close parentheses to the power of 2 end exponent equals v to the power of 2 end exponent minus 2 g h open parentheses i i close parentheses
    h equals L left parenthesis 1 minus cos invisible function application theta right parenthesis left parenthesis i i i right parenthesis
    S o l v i n g blank E q s. open parentheses i close parentheses comma blank open parentheses i i close parentheses a n d blank open parentheses i i i close parentheses comma blank w e blank g e t
    cos invisible function application theta equals negative fraction numerator 7 over denominator 8 end fraction
    o r blank theta equals c o s to the power of negative 1 end exponent open parentheses negative fraction numerator 7 over denominator 8 end fraction close parentheses equals 151 degree

    Related Questions to study

    card img

    With Turito Academy.

    card img

    With Turito Foundation.

    card img

    Get an Expert Advice From Turito.

    Turito Academy

    card img

    With Turito Academy.

    Test Prep

    card img

    With Turito Foundation.