4 A "tee" shape is made out of plastic (actually PVC) with equal masses at each end of the horizontal tube. We wish to measure the moment of inertia of this tee as it rotates on a ring stand. A lightweight string is attached to the vertical side near the base. The string passes over a pulley to a hanging mass (MH). Multiple trials are conducted using a different value of m; in each trial the acceleration of the descending mass is measured. Express your answers in terms of a: the acceleration of falling mass r: the radius of the vertical portion of the tee m: the mass of the hanging mass I: the moment of inertia of the tee Fundamental constants m radius r 1. We wish to create a linear graph so that the slope of the graph is the moment of inertia of the tee shape. What will you plot on the vertical and horizontal axes to do this? HINT: Its convenient to plot the angular acceleration (a = at) o 2. We can model the tee as comprising: on one of the axes. A vertical hollow tube of mass 0.125 kg and length 0.45 m A horizontal hollow tube set on top of the vertical tube of mass 0.300 kg and length 0.35 m Each tube has an inner radius or r = 0.75 cm and an outer radius of ro = 1.05 cm. A mass of m 50.0 g at each end of the horizontal hollow tube. 3. Calculate the theoretical moment of inertia of the tee. Moment of Inertia of Hollow Cylinder Formula Mass moment of inertia about x axis Mass moment of inertia about y axis Mass moment of inertia about z axis x=(m/12) (3*(R2+R2) + h) ly (m/12) (3*(R22+R2) + h) Iz (m/2) (R2+R22)