# (Hypothetical)I am sure this sum won't take less than 10 min

Can you solve this.MY first sum that I have made by myself. Two solid spheres one of mass 'm' and other of mass '2m' are comin towards each other(translationally) with a velocity v1 and v2.After collision the sphere of mass 2m comes to rest and the sphere of mass m does oblique projectile motion at an angle 30 with the vertical till it reaches at a height "H"m wall.(no rotational till now). After reaching height H,it again goes for a horizontal projectile motion with initial velocity same as the final velocity of horizontal projectile motion.The time for horizontal projectile is 1/20sec.After reaching ground with a velocity v3(final velocity of horizontal projectile),it first acquires some w(omega) angular velocity and does pure rolling for some time. (Coefficient of friction is 1/squareroot(2) viz 1/1.414 on the left side if the wall).Find the time taken for pure rolling after reaching the ground on the left side of the wall???

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