Determine the height above the dashed line XX | vedclass

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Question

(d)

Let $v_B$ be the velocity of water coming out from the hole at $B$. Vertical height of tube of length $L$ at $B =L \sin \alpha$ From law of con

Vedclass · Accepted Answer

$3.2$

Vedclass · Answer

(d)

Let $v_B$ be the velocity of water coming out from the hole at $B$. Vertical height of tube of length $L$ at $B =L \sin \alpha$ From law of conservation of total mechanical energy, we have

$m g(h-L \sin \alpha)=\frac{1}{2} m v_B^2$

$	ext { or } v_B^2=2 g(h-L \sin \alpha)$

$=2 g[10-2 	imes 1 / 2]=18\,g$

Let $H$ be the maximum height attained by stream of water coming out of hole, then

$H=L \sin \alpha+\frac{v_B^2 \sin ^2 \alpha}{2 g}$

$=2 	imes 1 / 2+\frac{18 g 	imes(1 / 2)^2}{2 g}=1+\frac{9}{4}=3.25\,m$

Determine the height above the dashed line $XX ^{\prime}$ attained by the water stream coming out through the hole is situated at point $B$ in the diagram given below. $...........\,m$ Given that $h =10\,m , L =2\,m$ and $d =30^{\circ}$.

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