Two inclined planes OA and OB of inclinations to the horizontal are α and β , each equal to 3 0 ∘ as shown in the figure. A particle is projected at an angle of 9 0 ∘ with plane OA from point A and it

Question

Two inclined planes OA and OB of inclinations to the horizontal are $α$ and $β$ , each equal to $3 0^{\circ}$ as shown in the figure. A particle is projected at an angle of $9 0^{\circ}$ with plane OA from point A and its strikes the plane OB at point B normally. Then find the speed of projection in $m / s$ . (given that $OA = OB = 100 cm$ and $g = 10 m / s^{2}$ )

TestHub · Accepted Answer

Since α = β AO = BO = 20 cm AB = d 2 + d 2 − 2 d ⋅ d cos 12 0 ∘ ​ AB = 3 ​ d Now A B is the range of the projectile from A to B . 3 ​ d = g u 2 sin 2 θ ​ ⇒ 3 ​ d = 2 g u 2 3 ​ ​

Physics - Kinematics Question with Solution | TestHub

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