Revisit Example 4.6 on p. 288 and determine the maximum height reached by the pole vaulter...

Revisit Example 4.6 on p. 288 and determine the maximum height reached by the pole vaulter, but this time include the mass of the pole in your analysis. To solve the problem, use the following data: the maximum speed achieved by the pole vaulter and pole at the time the vault begins is υmax = 34.19 ft/s; the pole vaulter is 6 ft tall with mass center at 55% of body height (as measured from the ground) and weighs 190 lb; the pole is uniform, has a weight of 5.8 lb, and is 17.1 ft long. In addition, assume that as the pole vaulter sprints before the vault, the pole is carried horizontally at the same height as the vaulter’s center of mass relative to the ground. Explain why the vault height you find when the pole is included is higher than the vault height determined in Example 4.6, when the pole was not included.

Figure P4.63