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jimmyu wazir Grade:
        a clyinderical hall has an smooth horizantal floor.a ball is projected along the floor from a point on the wall in an directiom making an angle x with the radius through the point.the ball return 2 the inital points after two impacts with the wallif the coefficent of restution is e,then tan^2x is

ans is e^3/e^2+e+1
how can i get this ans
7 years ago

Answers : (1)

Badiuddin askIITians.ismu Expert
147 Points
										

Dear jimmyu


let after impact angel made by ball with the radius is y


and after second impact angel made by ball with the radius is z


so 2x+2y+2z =180


or  x+y+z = 90 ........................1


at the first point where ball made first impact


 vsinx = v1siny


and  e = v1cosy /vcosx


 


so e = tanx/tay    or  tany = tanx/e  ...........2


similerly for second impact


      tanz = tany/e  or   tanz = tanx /e2 ............3


 


from equation 1


(90-x) = y+z


or tan(90-x) = tany + tanz /(1-tanytanz)


  1/tanx = (tany + tanz)/(1-tanytanz)


 


put value of  tany and tanz from equation 2and 3


tan2x = e3/(e2 +e +1)


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Badiuddin

7 years ago
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