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

Equations of Motion - Essay ExampleFor 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 Hookes law is observed. The restoring force, therefore, is proportional to the offstage (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 proceeding of a innocent pendulum is one of the phenomena that can be used to approximate the simple harmonic bowel movement. The motion is sinusoidal and is a demonstration of resonant frequency that is single (Dunwoody, H. 2000). A pendulum is a simple rigid 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 c omplete one oscillation is referred to as daily time (T). The peakic 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. manner 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 victimisation the slider on the left side of the screen. This value was recorded in the data table. The premium was elevated 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 by dint of the lowest point once 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 busheld for certain pendulum length. A series of the value 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 a gainst 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