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Question

A particle of mass m attracted with a string of length l is just revolving on the vertical circle without slacking of the string. If v subscript A end subscript comma v subscript B end subscript and v subscript D end subscript are speed at position A comma B and D then

  1. v subscript B end subscript greater than v subscript D end subscript greater than v subscript A end subscript    
  2. Tension in string at D equals 3 blank m g    
  3. v subscript D end subscript equals square root of 3 g l end root    
  4. All of the above    

The correct answer is: All of the above


    At A comma blank v subscript A end subscript equals square root of g l end root
    At B comma blank v subscript B end subscript equals square root of 5 g l end root
    and at D comma blank v subscript D end subscript equals square root of 3 g l end root
    Thus, v subscript B end subscript greater than v subscript D end subscript greater than v subscript A end subscript
    Also, T equals 3 blank m g left parenthesis 1 plus cos invisible function application theta right parenthesis
    So, D comma theta equals 90 degree
    therefore blank T equals 3 blank m g open parentheses 1 plus theta close parentheses equals 3 blank m g

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