3. Draw a free-body diagram and write Newton's second law of motion for the forces and accelerations experienced by a pendulum bob of mass m swinging under the influence of gravity, g, when it is at the very bottom of its swing (0=0'). There are two force terms that need to be considered (be careful about the direction of those forces) and only one acceleration term. Consult your unit on circular motion for this. Finally, using this equation, derive an expression for the velocity of the bob at that point. 1. What is the dependence of the period of a pendulum's oscillation on the mass, m, of the pendulum. Why? 2. You have constucted a pendulum as shown here, and by laying a meter stick underneath the pendulum, you have measured the distance from one end of its swing to the other to be 30 cm (as shown). You have also measured the period of that oscillation, which is the time it takes to complete one round trip, to be 2.2 sec. Using these two equilibrium poultion measurements, what is the average speed of the 30 cm pendulum bob. Average speed is defined to be total displacement speedaverage total time