Equations of Motion Essay Example | Topics and Well Written Essays - 1750 words - 1

Equations of Motion - Essay Example For any vibration to occur, a restoring force must be in existence. In this respect, a restoring force is identified in a pendulum. The restoring force is applied by the springs as long as Hooke’s law is observed. The restoring force, therefore, is proportional to the extension (e) with the constant (K) as the spring constant. That is force is equal to the extension times the spring constant (f=k e). The number of oscillations per unit time is equal to the frequency. Frequency is measured in units referred to as hertz (Hz). The motion of a simple pendulum is one of the phenomena that can be used to approximate the simple harmonic motion. The motion is sinusoidal and is a demonstration of resonant frequency that is single (Dunwoody, H. 2000). A pendulum is a simple set up in which a string is attached to a small bob. The string is clamped, and when it is displaced, it swings in a to and fro motion. The time that would be taken to complete one oscillation is referred to as perio dic time (T). The periodic time depends on the length of the pendulum and the acceleration due to gravity (g). That is T=2?v (l/g) Where l is the length of the pendulum whereas g is the acceleration due to gravity (g). When a body is vibrating, its potential energy is converted to kinetic energy (Dunwoody, H. 2000). ... This paper explores an experiment of simple harmonic motion by studying a pendulum (Grant, R., 2005). The hypothesis of this experiment is that increasing the length of the pendulum shall increase the periodic time (T) of a simple pendulum. Method Apparatus The instruments and apparatus that were used in this experiment included the simple pendulum, stop watch, meter rule, and protractor. Procedure. The simple pendulum was set up. The setup was made up of three regions. The centre was the pendulum. The length of the pendulum was chosen for the pendulum by using the slider on the left side of the screen. This value was recorded in the data table. The amplitude was raised to about 20 degrees. This value was equally recorded in the data table. The start animation button was clicked, and when the pendulum passed its lowest point, the timer was started. The time taken for the pendulum to complete 10 cycles was taken, and the timer stopped as the pendulum passed through the lowest point on ce again. This time was recorded in the data table. The mass of bob and the amplitude were kept constant. The length of the pendulum was varied and the period of oscillation determined for certain pendulum length. A series of the values for the period were determined through a number of trials. The length of the pendulum was varied so as to determine whether the period of oscillation depends on the length of the pendulum cord. About four trials were done using the same amplitude but changing the pendulum lengths. The results obtained were used to plot a graph of period versus the length and graph of period against the square root of the length. Results. Table 1: A table showing the data collected. Trial Length (m) L2 (m2) Time for 10 oscillations (s) S2

Reflection on the book 'The White Castle' Essay Example | Topics and Well Written Essays - 500 words

Reflection on the book 'The White Castle' - Essay Example Like in the story Hoja, a Muslim, made the western slave tell him about their life styles and he preferred these western styles over theirs. Pamuk portrays religion with great care in the book and shows how the two different thoughts of West and East can merge together. The Ottoman society follows the old traditions according to their religion and thus do not take any sanitary precautions when a plague hits Istanbul, however the Italian slave advises the Sultan to use such measures for the end of plague and the Sultan does eventually follow the Western way of removing the plague which proves to be successful. Pamuk in his story White Castle tells about the realities of life in the 17th century. It describes different events taking place in the Ottoman Empire. Cruelty is prevalent through out the plot of the story and can be clearly viewed in the characters. The Italian Scholar seems to be laid into a trap by the Eastern world but is saved by his own intellect. Similarly Pamuk is portraying the Eastern world with great uncertainty and cruelness. The pirates who capture the Italian scholar are cruel in nature and are supposedly going to kill the scholar. However the scholar’s intellect helps him to misguide the pirates into thinking that he is a doctor and this saves his life. But on the other hand the pirates do not free the scholar; they rather gift him as a slave to Hoja. The character of Hoja can also be viewed to be cruel as he absorbs all the information from the Italian scholar about his lifestyle and even then does not let him free. The cruel nature of Hoja can yet again be seen in his aim of designing a deadly weapon which would help his empire to conquer other states. And furthermore, when the weapon does not work as expected by him he steals the identity of the Italian scholar and runs away leaving him in the Ottoman