I have some questions (or checks) on some problems from a fatty packet our teacher decided to give us for the AP test. If I've already given a possible solution, see if I did it right. Thanks! Problem 1: A simple pendulum consists of a mass 1.8kg attached to a string of length 2.3m hanging off a ceiling. A light horizontal string attached to a wall holds the pendulum at an angle of 30* from the vertical. (a) Draw a free-body diagram. Tension 1 (T.) - 60* (+y) Tension 2 (T,) - 0* (+x) Weight (mg) - 90* (-y) (b) Calculate the tension in the horizontal string. Since [T,=T.x], find [T.x] by using trigonometry after finding that [T.y=mg]. (c) The horizontal string is now cut close to the mass, and the pendulum swings. Calculate the speed of the mass at the lowest position. Here's where I forget what to do. Do I find the period? Then what do I have to do? Problem 2: A ball attached to a string of length [L] swings in a horizontal circle with constant speed. The string makes an angle [A] with the vertical, and [T] is the tension. Express your answer with these terms and fundamental constants. (a) Draw free body diagram. Tension (T) - A (+y) Weight (mg) - mg (-y) (b) Determine the mass of the ball. Do I use [2(pie)(square root of (l/g))=2(pie)(square root of (m/k))]? (c) Determine the speed of the ball. Like the simple pendulum above, I have no idea. (d) Determine the frequency of the ball. Since [T=1/f], do I use one of the period equations from part (b)? This is it (for now). Once again, thanks for your time.