Precarious cylinders

Three identical rigid circular cylinders A , B and C are arranged on smooth inclined surfaces as shown.

The least value of xx that prevent the arrangement from collapsing can be expressed as tan1a3c/d \tan^{-1} \dfrac a{3^{c/d}} , where a,ca,c and dd are positive integers with c,dc,d coprime.

Submit your answer as a+c+da+c+d.

×

Problem Loading...

Note Loading...

Set Loading...