The Gracing Projectile

Classical Mechanics Level pending

There are two parallel planes, each inclined to the horizontal at an angle theta. A particle is projected from a point mid way between the foot of the two planes so that it grazes one of the planes and strikes the other at right angle. Find the angle of projection of projectile alpha.

tan^-1[( sqrt(2) -1) cot (theta)] +(theta) tan^-1[( sqrt(2) +1) cot (theta)] -(theta) Cot^-1[( sqrt(2) -1) tan(theta)] +(theta) Cot^-1[( sqrt(2) +1) tan(theta)] -(theta)

Parv Mor by Parv Mor , 22, India

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