Lectures 15 Instructions: Follow the instructions for each item. Try to solve by yourself before asking for assistance. Use the value g = 9.81 [m/sl]. 1. In Pursuit of Truth. (1OI points) Meteion is testing how the frequency of oscillation a) of a uniform stick varies as the distance of pivot point from the sticks center of mass 3' is changed. The stick has mass m. A. (3 points) The table shows the result of Meteion's measure a; (in US) mga'nlb' gs?) ments. In the table, gis acceleration due to gravity. Convert 15,13 23211 these measurements to SI units. 2.431 46.420I 2.9377 69.6 7'5 3.428 92.896 3.841 116.086 B. (3 points] Use dimensional analysis to find an expression for a; in terms of m, g, a: and some extra variable I. (2 points) From your expression of In, what is the unit of I? (2 points} After analyzing the motion of the stick, Meteion found out that the angular displace ment of the stick 6 can be expressed by !) = Acos(ry.'+ 535], where A is the amplitude of oscillation, :is time, and grdescribes the sticks initial phase. Does gai have any unit? Explain. 53!&quot