ÚÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄ¿ ³ T = 2 * pi * sqrt( L/g ) ³ ÀÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÄÙ Reducing the oscillation amplitude with F3 doesn't change T either. While the maximum and average velocities are reduced, the length of the trajectory is also reduced and (for small amplitudes) in the same proportion. Notice that when you double L or halve g (by using F4 or F5) the acceleration is halved. As you can see, in the former case this is due to the angle changing and in the latter to the weight changing. But T (and the average velocity) only change by the square root of 2. The reason is the following: While the rate of change of the velocity is reduced to half its former value, at each point of the trajectory, the velocity has now more time to build up. This fact partly compensates for the reduced acceleration. This is a qualitative explanation for the square root (sqrt) in the above formula. Use F6 to stop the action and to read the instantaneous values of relevant quantities. In particular notice the values of the kinetic and of the potential energies and of their sum, at different points of the trajectory. What happens to these values when the pendulum is close to an extreme position or when it goes through the equilibrium position?