1. A Simple Pendulum Using a Rod Make sure you have watched the video lecture "Modeling the Dynamics of the Mass-Spring System and the Simple Pendulum\" before attempting this problem. In the Video (and in the reading] a simple pendulum is described as a point-like mass that is attached to a string. Suppose instead, that a rigid rod of mass m and length l were used. as diagrammed below, to create a simple pendulum. Assume that the rod is held by a frictionless support that allows it to swing freely and that the acceleration due to gravity is g. ma. The rod is held at a small angle (9, then released from rest. Create a complete and properly labeled extended force diagram. b. Apply Newton's 2\"\" Law in its rotational form, the small angle approximation, and use the fact that the moment of inertia for a rod about one of its ends is given by I'm 2 mlg to show that: 217: g9= lo. c. Choose appropriate quantitative models for the motion of 90') and (1(1') and nd the period of motion for this simple pendulum in terms of! and g