Help with physics lab The dexperimental 108 cm In this lost

Help with physics lab:

The d_{(experimental)} = 108 cm

In this lost port of the experiment you are given an engineering (actually physics) challenge: cantilever five metersticks off the edge of the edge of table in such a manner as to maximize the distance d. No fair using weights, double-soded tape, or anything else, just the five stacked meter sticks. In the box below, using the concept of CM, derive a series solution for the total distance d_theoretical you should be able to obtain. Measure that distance and enter both your theoretical and experimental values, with a percent difference, in the spaces below.

Solution

This is a very famous experiment in applied mathemtics, solving the center of mass equations we can get the solution to this as

the sepertions to be

x = 1/2i , where i is the ith block seperation

THe theroretical value for 5 block system will be 1.14 m or 114 cm

THe percentage difference will be 5.55 %