I always choke up when I see this picture of the legendary Hank Aaron. (Dad jokes rule!) Even though a baseball bat does not have its mass uniformly distributed along the length, we will make our calculation assuming that the mass is uniformly distributed. We will be calculating the moment of inertia of the baseball bat with a pivot point located at the hands. The Cedar bat will have a mass M and length L. The pitcher throws a baseball with velocity 91.0 miles per hour straight down the center of the plate. We will take the baseball to have mass mal and assume a partially elastic collision. The baseball leaves the bat at an angle of 32 degrees above the horizontal. Mr Aaron grasps the bat so that 10% of the bat is below his hands. The coefficient of static friction between Cedar and cowhide is 0.32. It is a very hot day (100 degrees Fahrenheit) and so the drag coefficient in air is reduced to 0.038. We shall assume that the baseball remains in contact with the bat for a time interval of 0.41 seconds. long short long short Determine all the following: Write an expression for the upper limit of the integral: Upper Limit = 0.9 X Write an expression for ri r = X The formula for Moment of Inertia in the form of an integral: I = ] M dx > X Write the result for the Moment of Inertia: I = Write an expression for dm: dm = M dx Write an expression for the lower limit of the integral: Lower Limit = -0.1