- #1

- 81

- 0

## Homework Statement

There are two inclined planes each having an inclination of [tex]\alpha[/tex]. A projectile is launched from the midpoint between these two inclines such that the distance from the projectile on the ground to the inclines is x on either side.The angle of projection is [tex]\alpha[/tex] + [tex]\theta[/tex]and the initial velocity is u. The projectile just grazes the lower incline(having acute angle or [tex]\alpha[/tex] towards it) and lands on the other incline with an angle of 90 degrees to the incline.

## Homework Equations

how do we prove that :

tan [tex]\theta[/tex]=(1-[tex]\sqrt{2}[/tex])cot [tex]\theta[/tex]

## The Attempt at a Solution

Rotate the axis by [tex]\alpha[/tex] along the incline at the midpoint so that we have the angle of projection as [tex]\theta[/tex].The component acting downwards instead of g would be gcos [tex]\theta[/tex] and backwards gsin [tex]\theta[/tex].Next we equate it.Right?