The Change Friction Makes In The Complexity Of A Problem.

This problem has been inspired by a problem appearing in the JEE ADV -2013 (Paragraph questions 13-14). The problem was quite easy because work done by friction had been given and conservation of energy could be easily applied. I tried to find out how the work done by friction is evaluated.This try led to the formation of the following problem:

Consider a fixed wedge, whose part is a quarter circle of radius RR as shown. A small block of mass mm slides down the wedge and leaves horizontally from a height hh as shown.The coefficient of friction between wedge and block is μk\mu_{k}. Compute the value of xx in centimetres , where xx is the distance from bottom of wedge of the point where the block falls given the values below:


  • R=200cmR = 200 cm

  • h=105cmh = 105 cm

  • μk=0.5\mu_{k} = 0.5

  • m=2gm = 2g

Round your answer to nearest integer


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