The Olympic Games trace their history back to Ancient Greece. Although the modern variant of these games has added critical competitions such as synchronized swimming, the ancient sports such as the Javelin Throw still exist. As shown in the figure below, a Javelin thrower launches his Javelin at an initial angle of 16 degrees above the horizontal with an initial velocity of 31 meters/second. The orange javelin is made of Plastic, has a mass M, a length of L and has a specially textured surface used to reduce the drag coefficient to 0.45. Like most others in the competition, Billy grasped his javelin not at the center but instead nearer the back end. The coefficient of static friction friction between the hand and the javelin was us = 0.26 (thank you talcum powder) and it was gripped with 6% of the length behind the hand. You are to integrate to determine the Moment of Inertia of the javelin with a rotation axis at the location of the hand . long short long short 195.WWW Determine all the following: Write an expression for the upper limit of the integral: Upper Limit = Write an expression for dm: dm = The formula for Moment of Inertia in the form of an integral: I = S Write an expression for r: r = Write the result for the Moment of Inertia: I = Write an expression for the lower limit of the integral: Lower Limit = NOTE: . Don't enter limits for the integral formula, just supply the integrand. . Be careful with signs. . Be careful with capitalization. . Use at least 3 decimal places for the number in Moment of Inertia formula