Rotation - Pre-lab Give a complete derivation of Equation (2). Explain the meaning of each symbol in the equation. Also calculate the relative uncertainty of Iexp. For the hanging mass For the wooden disk FBD FBD Equation of the linear motion Equation of the rotational motion Based on the equations of motion, derive Eq. (2) for Iexp below: Give the equation to calculate Slexp/Iexp:Purpose The purpose of this lab is to measure the moment of inertia of a wooden disk. Introduction and Theory The moment of inertia of a uniform circular disk about its axis can be calculated analytically: I theo = - MR? = 1MD ? (1) where M is the mass of the disk, R is its radius and D is the diameter. In this lab, we will call the above result "the theoretical moment of inertia", Itheo. Another method to determine the moment of inertia of the disk is to suspend a mass m from a light string wound around the disk (Figure 1) and measure the acceleration a of the mass. You will show in your pre-lab that the moment of inertia of the disk about the rotational axis can be expressed as: I exp = ' m(g - a ) D2 . . ... (2) 4a We call this result "the experimental moment of inertia", Iexp. Apparatus Draw a labelled diagram of the apparatus (see Figure 1). List all other apparatus required, along with any identifying numbers. a disk # string smart pulley # a