Will Sliding Rod ever Stop ? (Part 2)

Rigid uniform Rod 'AB' of mass 'M' and Length 'L' is pulled slightly ( Gently ) at the bottom at time t=0 . when it just reaches the horizontal ground. Then Velocities of End's Point's .

VA=ab(gL)VB=cd(gL)\displaystyle{ V }_{ A }=\sqrt { \cfrac { a }{ b } (gL) } \\ \\ { V }_{ B }=\sqrt { \cfrac { c }{ d } (gL) } .

Then Find The Value of a+b+c+da+b+c+d

details and Assumptions

\bullet All Surfaces are Perfectly Smooth.

\bullet Rod May not Necessarily remain always in contact with Vertical wall.

\bullet a,b,c,da,b,c,d all are positive integers , gcd(a,b)=1gcd(a,b)=1 , gcd(c,d)=1gcd(c,d)=1

This is Original
Try It's Easier Version First : Sliding Rod
Try more Deepanshu's Mechanics Blast
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