1. Draw a FBD of the skier during the lifting process. Ensure you include all forces and a coordinate system. 2. Obtain the equation of motion of the skier as a function of the only unknowns x (and/or its derivatives) and T (ie express all other quantities numerically).

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1. Draw a FBD of the skier during the lifting process. Ensure you include all forces and a coordinate system.

2. Obtain the equation of motion of the skier as a function of the only unknowns x (and/or its derivatives) and T (ie express all other quantities numerically).

3. The skier starts their journey up the ski lift at t = 0, and they reach the top of the slope at tend=224 s. The skier’s position, x, as a function of time, t, over this time period is given by:

 

Obtain the analytical expression of the tension with respect to time and compute the maximum tension value.

Note: The coordinate x is parallel to the slope (in the same direction as the motion of the skier) as marked in the diagram above. 

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