Calculate the contact force between the skis and the track

In summary, the problem involves a ski jumper starting his run at a point on a parabolic track, with the equation of the parabola being y=(12/225)x^2. The task is to calculate the contact force between the skis and the track at point O, assuming no friction. To solve this, relevant equations featuring the variables and given information must be used, including the velocity at O and other necessary information to figure out the force at that point.
  • #1
Alexanddros81
177
4

Homework Statement


14.37 A 75-kg ski jumper starts his run in the position shown on the parabolic
track. The equation of the parabola is ##y = (12/225)x^2##, where x and y are in meters.
Neglecting friction, calculate the contact force between the skis and the track at O.

Fig P14_37.jpg


Homework Equations

The Attempt at a Solution


[/B]
At pont A (start of run):

##Vg_A=mg(12)##
##T_A=0##

At pont O:

##Vg_O = 0##
##T_O=1/2mv_O^2##

Something is missing?
Any hints how to continue?
 

Attachments

  • Fig P14_37.jpg
    Fig P14_37.jpg
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  • #2
Alexanddros81 said:
Something is missing?
Indeed ! Some relevant equations featuring the variables and given information !
 
  • #3
Alexanddros81 said:
how to continue?
So can you find the velocity at O?
What else do you need to know to figure out the force there?
 

Related to Calculate the contact force between the skis and the track

1. What is the formula for calculating the contact force between the skis and the track?

The formula for calculating the contact force is F = μN, where F is the contact force, μ is the coefficient of friction, and N is the normal force.

2. How do you determine the coefficient of friction for the skis and the track?

The coefficient of friction can be determined experimentally by measuring the force required to move the skis along the track at a constant velocity. It can also be estimated using the materials and surface properties of the skis and the track.

3. Is the contact force between the skis and the track affected by the speed of the skier?

Yes, the contact force between the skis and the track is affected by the speed of the skier. As the speed increases, the force of friction also increases, making it more difficult for the skier to maintain their speed.

4. How does the contact force between the skis and the track affect the skier's ability to turn?

The contact force between the skis and the track plays a crucial role in the skier's ability to turn. The force allows the skier to maintain control and change direction while skiing.

5. Can the contact force between the skis and the track be adjusted?

Yes, the contact force between the skis and the track can be adjusted by changing the coefficient of friction or the normal force. For example, by adding wax to the skis or adjusting the skier's weight distribution, the contact force can be altered.

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