Inverted Pendulum Essay

The change in the contribution margin for all the products is responsible for the change in profitability.

The unit question asks whether or not the hero of Edgar Allen Poe’s “The Pit and the Pendulum” would realistically be able to escape the descending blade swinging on a pendulum. The question is a matter of time, is it feasible for the protagonist to escape the pendulum with the allotted amount of time. Based on standard deviation and testing a pendulum of the same scale as the one mentioned in the story, the answer is no. The protagonist mentions that he believed 10-12 periods of the pendulum would result in the blade coming in contact with his torso. Using the formula developed in class for the period of a pendulum, it would take the 30 foot pendulum described in the story about 72 seconds to complete 12 periods. Testing the actual 30 foot yielded similar results within 1-2 seconds of 72 seconds. Therefore, it is fair to say that the hero is working with 72 seconds to free himself. This does not seem like enough time to develop an escape strategy, act on the strategy, and leave without getting hit bit the pendulum. The method the hero describes involves thinking about the situation and then employing the help of nearby rats. He also mentions, “Yet one minute, and I felt that the struggle would be over,” as if to imply he had 1 minute to spare. Since he was reflecting and then enticing the rats to gnaw through the rope it is not likely that it took only 12 seconds to escape. 72 seconds does not seem like enough time for the hero to complete his escape. However, the thickness of the rope and speed of the rats are factors that could affect the outcome.

The objective of the neural network is to transform the input to meaningful output. Neural networks are often used for statistical analysis and data modeling. Neural network has many uses in data processing, robotics, and medical diagnosis [2]. From the starting of the neural network there are various types found, but each and every types has some advantages and disadvantages. Deep learning and -neural network software are the categories of artificial neural network. The parallel process also allows ANNs to process the large amount of data very efficiently. The artificial neural network is built with a systematic

Circular motion is one of the fundamental building blocks for understanding the physical world because it is so common. This interactive lets you examine the basic ideas of kinematics and forces for objects moving in circular motion.

Describe how the direction of the tilt always stays the same. Guide the globe and control the course of its tilt to model the Earth’s movement.

Continuing with the development and improvement of the assembly line, in the 1960s, new machines were invented that allowed for five axes of motion. These devices were called the “Versatran”, and were installed a Ford factory in Ohio. But later in the decade, robots became even more complex adding another axis it can work

The Second Pendulum (The royal pendulum), its range of swing is one meter long where each swing takes one second became widely used. The long narrow clocks built around these pendulums were first made by William Clement in the 1680s. The increased accuracy resulted from these type of developments caused minute hand to be added to the clock dials in the 1690s.

To test Newton’s seconds law if whether changing the mass or the force affects the acceleration of an object or a trolley in this case to increase or decrease.

ECP software runs on an IBM PC or compatible computer and corresponds with ECP's digital signal processor (DSP) based real-time controller. Its primary functions are supporting the downloading of various control algorithm parameters (gains), specifying command trajectories, selecting data to be obtained, and specifying how data should be plotted. ECP Model 205 torsion apparatus represents a broad and important class of practical plants including: rigid bodies, flexibility in drives, and coupled discrete vibrating systems. It easily transforms into second, fourth, and sixth (optional) order plants with collocated or no collocated sensor / actuator control. This laboratory dealt with a single simple degree of freedom.

The axis of a gyroscope is capable of maintaining balance due to an equilibrium of a spinning wheel that resists change in direction.

In this lab we found that the variables of circular motion are directly related. We accomplished our

L.A. Zadeh, Fuzzy Sets [33] In 1965 the concept of fuzzy logic was first introduced by the Professor Lotfi A. Zadeh in the University of California, Berkeley [33]. Fuzzy logic is a powerful design system for implementing the artificial intelligence in the controller which provides simple and intuitive method for software engineers to implement logic in complex systems. This concept had been given in one amongst his research papers under the name Fuzzy logic or Fuzzy sets.

A pendulum is a bob suspended by a string from a fixed point and behaves in an oscillating manner. When released from an angle away from its equilibrium, it swings side-to-side in a periodic motion. The time it takes to complete one full swing is considered the period and the purpose of this investigation is to discover the effect of the string length on the period of the pendulum. This will be accomplished by recording and analyzing data with the use of data tables and graphs.

The objective of this practical is to determine acceleration due to gravity ‘g’ using the simple pendulum model. This is shown when a period of oscillation is seen to be independent of the mass of the mass ‘m’.

The forces that are involve with the experiments are basically focused on the concurrent forces. The experiment also allows us to develop the condition of balancing or arranging the angles both sides on a force table. This laboratory experiment allows us to take the mathematical abstraction of a vector to make it tangible as possible. This experiment will look into two ways of