"Handicapped" pendulum assignment Hello everyone, I was wondering if anyone could help me with an assignment about a "handicapped" pendulum (you gotta love the professor's taste for scientific terminology). By "handicapped", it is meant that the pendulum is attached to a stationary point, limiting the pendulum's swinging movement. The assignment is about researching the relation between the height of the stationary point and the period of the pendulum. It's overall a very easy assignment, but I have two problems with it: 1) I need to prove that T(T stands for period) - 0.5T0 = ∏√((l-h)/(g)), with T0 being Huygens' law = 2∏√(l/g). I don't know how I should make a formula for T, seeing as my only resource is some measurement data, namely: displacement from equilibrium position: 20 cm length: 97 cm √(l-h) ---- Period 8.8 1.88 8.2 1.85 7.5 1.76 6.9 1.69 6.1 1.61 5.2 1.54 2) I also have a T', which is the period of a pendulum with a similar stationary point, but this time, it's 5 cm horizontally away from the vertical line of the pendulum. The following measurements were made: displacement from equilibrium position: 20 cm length: 97 cm √(l-h) ----- Period 8.2 1.95 7.5 1.89 7.0 1.81 6.1 1.74 5.2 1.64 These square roots were calculated with h [itex]\in[/itex] [30;70]. I now have to predict the function's behaviour between h = 0 and h = 30. Anyone with any ideas as to how to solve one or both of these problems, I would be very thankful to hear them.