Environmental Engineering Reference
In-Depth Information
For the self-adhering impact e t = 1, expression of v t + and ω + is simplified:
+
v
=−
e v
n
n
n
3
4
+
v
=
v
+
r
ω
[4.16]
t
t
7
7
v
r
10
3
+
t
ω
=
ω
7
7
Figure 4.6. Oblique impact on a terrain with slope β
4.4. Flight trajectory
By neglecting the air resistance, the equations of movement of a material point
provides results for a boulder starting from a point of impact with a velocity v 0
inclined at an angle α on the horizontal (see Figure 4.7):
g
2
yxtg x
=
α
[4.17]
22
2 s
v
α
0
For a terrain with a constant slope β, for which the equation y = - x tg β, we easily
find the length of the jump s , measured parallel to the slope, and the maximum flight
height f above the terrain (reached at half of s ):
22
2 s
cos
v
α
(
)
s
=
tg
αβ
+
tg
[4.18]
g
β
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