Someone with a mass of 60 kg is water skiing (see Figure 1 for reference). His...

   

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Someone with a mass of 60 kg is water skiing (see Figure 1 for reference). His body is leaning backward, forming an angle a with respect to the water line (i.e., horizontal direction). He is pulled by a tension force T that acts through the center of gravity (cg) location of his body, at an angle of 15° from the horizontal line, in an upward direction. There is the hydrodynamic drag force (water resistance) along the horizontal direction at the point of contact with water, with a magnitude of 0.2W, where W is the weight of the man. He is experiencing a horizontal acceleration a. After considering buoyancy, the net upward normal force at the water point of contact is 440 N. Let say his height is h m, and his cg is located at two-third of his height (from the ground). (a) Draw the simple free body diagram, showing all the forces. Mark the location of the body and the corresponding distances of the forces (express in terms of h) (3 points). (b) Compute the tension force T (4 points) (c) Compute the acceleration ax (3 points) (d) Compute the inertial load factors n and ny (4 points) (e) Compute the angle a such that his current position is stable (with no rotational movement) (3 points) Someone with a mass of 60 kg is water skiing (see Figure 1 for reference). His body is leaning backward, forming an angle a with respect to the water line (i.e., horizontal direction). He is pulled by a tension force T that acts through the center of gravity (cg) location of his body, at an angle of 15° from the horizontal line, in an upward direction. There is the hydrodynamic drag force (water resistance) along the horizontal direction at the point of contact with water, with a magnitude of 0.2W, where W is the weight of the man. He is experiencing a horizontal acceleration a. After considering buoyancy, the net upward normal force at the water point of contact is 440 N. Let say his height is h m, and his cg is located at two-third of his height (from the ground). (a) Draw the simple free body diagram, showing all the forces. Mark the location of the body and the corresponding distances of the forces (express in terms of h) (3 points). (b) Compute the tension force T (4 points) (c) Compute the acceleration ax (3 points) (d) Compute the inertial load factors n and ny (4 points) (e) Compute the angle a such that his current position is stable (with no rotational movement) (3 points)