Physics-
General
Easy

Question

A particle is moving in a vertical circle. The tensions in the string when passing through two positions at angles 30 degree and 60 degree from vertical (lowest position) are T subscript 1 end subscript and T subscript 2 end subscript respectively. then

  1. T subscript 1 end subscript equals T subscript 2 end subscript  
  2. T subscript 2 end subscript greater than T subscript 1 end subscript  
  3. T subscript 1 end subscript greater than T subscript 2 end subscript  
  4. Tension in the string always remains the same  

The correct answer is: T subscript 1 end subscript greater than T subscript 2 end subscript


    Tension, T equals fraction numerator m v to the power of 2 end exponent over denominator r end fraction plus m g cos invisible function application theta
    F o r comma blank equals 30 degree comma blank T subscript 1 end subscript equals fraction numerator m v to the power of 2 end exponent over denominator r end fraction plus m g cos invisible function application 30 degree
    theta equals 60 to the power of o end exponent comma T subscript 2 end subscript equals fraction numerator m v to the power of 2 end exponent over denominator r end fraction plus m g cos invisible function application 60 to the power of o end exponent therefore T subscript 1 end subscript greater than T subscript 2 end subscript

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