A skier of mass M, slides, without friction, on a curvilinear path (ABC) situated in a vertical plane as shown in the figure below. hạ hc ground The skier leaves without speed from A at the top of the track. Given: ha = 21 m, hɛ = 8 m, hc = 11 m and g = 10 m/s². 1)Calculate the various speeds of the skier as he reaches B, C and I respectively. 2)At the point C, the skier leaves the track with a velocity vector Vc making an angle a = 37 ° to the horizontal and goes air born towards the ground. a)Calculate the speed at the top S of the trajectory. (Note that the horizontal component of the velocity vector of the skier, during his free fall, is constant. b)Deduce the height hs. c) Determine the value of the angle formed by the velocity vector of the skier at the impact point I with the ground below.

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A skier of mass M, slides, without friction, on a curvilinear path (ABC) situated in a vertical plane as shown
in the figure below.
A
B
C
; ground
fi
The skier leaves without speed from A at the top of the track.
Given: ha = 21 m, hɛ = 8 m, hc = 11 m and g = 10 m/s².
1)Calculate the various speeds of the skier as he reaches B, C and I respectively.
2)At the point C, the skier leaves the track with a velocity vector Vc making an angle a = 37 ° to the
horizontal and goes air born towards the ground.
a)Calculate the speed at the top S of the trajectory. (Note that the horizontal component of the velocity
vector of the skier, during his free fall, is constant.
b)Deduce the height hs.
c) Determine the value of the angle formed by the velocity vector of the skier at the impact point I with the
ground below.
Transcribed Image Text:A skier of mass M, slides, without friction, on a curvilinear path (ABC) situated in a vertical plane as shown in the figure below. A B C ; ground fi The skier leaves without speed from A at the top of the track. Given: ha = 21 m, hɛ = 8 m, hc = 11 m and g = 10 m/s². 1)Calculate the various speeds of the skier as he reaches B, C and I respectively. 2)At the point C, the skier leaves the track with a velocity vector Vc making an angle a = 37 ° to the horizontal and goes air born towards the ground. a)Calculate the speed at the top S of the trajectory. (Note that the horizontal component of the velocity vector of the skier, during his free fall, is constant. b)Deduce the height hs. c) Determine the value of the angle formed by the velocity vector of the skier at the impact point I with the ground below.
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