A uniform thin rod is pivoted about one of its ends so that it can rotate freely in a vertical plane. In a laboratory test its moment of inertia about the pivot is determined to be 0.20kg m2. The rod has a mass of 2.5kg.
a. (i) Write the mathematical expression for the moment of inertia of a uniform thin rod about an axis through one end and perpendicular to its length.
b. (ii) Using the measured value, calculate the length of the rod.