Yet the total mechanical energy remains constant. Since your reaction time affects both the start time and the stop time, these uncertainties are sources of random error, and they add in quadrature so that: As the bob moves towards its equilibrium position, it decreases its height and decreases its potential energy.

This was the practice used in the analysis of sign hanging problems and inclined plane problems. At this instant in time, there is no net force directed along the axis that is perpendicular to the motion.

In the case of pendulum, it is the time for the pendulum to start at one extreme, travel to the opposite extreme, and then return to the original location.

Pendulums serve a huge purpose that are often overseen by many due to technological advancements being made In the everyday world.

So it would be logical to conclude that as the position decreases along the arc from A to Dthe velocity increases. So as the bob moves leftward from position Lab 2 physic simple pendulum to E to F to G, the force and acceleration is directed rightward and the velocity decreases as it moves along the arc from D to G.

It reaches a maximum height as it reaches the position of maximum displacement from the equilibrium position. So when the bob is at the equilibrium position the lowest positionits height is zero and its potential energy is 0 J.

Kinetic energy decreases as the bob moves rightward and more importantly upward toward position G. When moving through the equilibrium position, the restoring force is momentarily absent. Then, to find the uncertainty in your slope value, draw in lines with the maximum most steep and minimum least steep slopes possible that still pass through the error bars of most of your data points, as well as the origin at 0,0.

Whatever potential energy is lost in going from position A to position D appears as kinetic energy. There is an increase in potential energy to accompany this decrease in kinetic energy. The plot above is based upon the equilibrium position D being designated as the zero position.

This also is consistent with the force analysis discussed above. The potential energy possessed by an object is the stored energy of position. As discussed previously in this lessonthe period is the time it takes for a vibrating object to complete its cycle. What do you notice? Does the accepted value of 2 fall within your experimentally determined estimate?

This blending of concepts would lead us to conclude that the kinetic energy of the pendulum bob increases as the bob approaches the equilibrium position. An analysis of the plots shows that the velocity is least when the displacement is greatest.

Yet the process of resolving gravity into two components along axes that are perpendicular and tangent to the arc remains the same. The amount of each form of energy is represented by a bar.

In this experiment, two activities were performed t hat share a set of Instructions. We would say that mechanical energy is conserved.

In order to complete a successful Investigation, numerous supplies were needed. Suppose we identify several locations along the arc and then relate these positions to the velocity of the pendulum bob.

Now, you will find your own reaction time by starting the timer, and attempting to stop it at exactly And what is the restoring force for a pendulum? What aspects of the setup or methods can be improved to obtain more accurate or precise results?

And suppose that we constructed a plot showing the variation in position with respect to time. The further the bob has moved away from the equilibrium position, the slower it moves; and the closer the bob is to the equilibrium position, the faster it moves.

As the pendulum bob does the back and forth, there are times during which the bob is moving away from the equilibrium position. The most Interesting variable, however, Is the length of the swinging pendulum. Here we will be interested in the question What variables affect the period of a pendulum?

What sources of error might have affected your results? Typically one or more of the forces are resolved into perpendicular components that lie along coordinate axes that are directed in the direction of the acceleration or perpendicular to it.

This very principle of energy conservation was explained in the Energy chapter of The Physics Classroom Tutorial.Now the real lab procedure from steps 12 to 18 can be followed to complete the observations for finding the acceleration due to gravity.

Clicking on the 'Answer' button displays the acceleration due to gravity for the corresponding environment. This lab is about a simple pendulum and how its used to determine the value of acceleration due to gravity.

The length of the string is increased in this experiment. As the length of the string decreases, the time period also decreases. This is because, as the length of the string decreases, the bob has to travel less distance in the same time (10 5/5(13).

Lab 1: The Simple Pendulum Introduction. A simple pendulum consists of a mass m hanging at the end of a string of length L. The period of a pendulum or any oscillatory motion is the time required for one complete cycle, that.

Play with one or two pendulums and discover how the period of a simple pendulum depends on the length of the string, the mass of the pendulum bob, the strength of gravity, and the amplitude of the swing. Observe the energy in the system in real-time, and vary the amount of friction.

Measure the. Simple Pendulum PURPOSE The purpose of this experiment is to study how the period of a pendulum depends on length, mass, and amplitude of the swing. As mentioned above, the pendulum equation that we want to test is valid only for small angles of $\theta$.

For the first measurement, you will test this expectation by finding the period of oscillation at 3 different angles of release: $\theta=15^{\circ}$, $30^{\circ}$, and .

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