Funded by the National Science Foundation. We will conduct a similar investigation here for the motion of a pendulum bob. This is because there are too many errors that can, and will be made. So in the case of a pendulum, it is the gravity force which gets resolved since the tension force is already directed perpendicular to the motion. Galileo did not have these tools, so he used his pulse. Galileo made another intuitive leap that turns out to be approximately true, but not exactly so:
Investigation of a simple pendulum
A displacement to the right is regarded as a positive position. We will expand on that discussion here as we make an effort to associate the motion characteristics described above with the concepts of kinetic energy , potential energy and total mechanical energy. You will change the length of rope and the mass at the end of the rope. And, despite our non-ideal laboratory conditions, we may still expect to see this trend in our data. One approach you can take is to first measure the length from the center of the ball to the center of the pivot directly.
Exploring Pendulums - Science NetLinks
The quantitative equation relating these variables can be determined if the data is plotted and linear regression analysis is performed. For the purposes of this experiment, you will need to ensure that your simple pendulum swings in a vertical plane. The pendulum can be brought to its new starting position by clicking on the "Reset" button. The first will explore how the simple pendulum of Galileo changes when we add in air resistance or let the arc of swing be large. Funded by the National Science Foundation.
Most people would not like a clock that had to be rewound every 20 minutes! If you gave the escapement gear 60 teeth and attached this gear directly to the weight drum we discussed above, and if you then used a pendulum with a period of one second, you would have successfully created a clock in which the second hand turns at the rate of one revolution per minute. The energy transfers are the focus of this demonstration. The swing is supported by chains that are attached to fixed points at the top of the swing set. The nudge is the boost of energy that the pendulum needs to overcome friction, so it keeps swinging.