Free Vibration Experiment-Natural Frequency Of Spring Mass System Without Damping latest 2021*Graded A*

UNIVERSITI TEKNOLOGI MARA (UiTM), SHAH ALAM FACULTY OF MECHANICAL ENGINEERING Program : Bachelor of Engineering (Hons.) Mechanical (EM220) Course : Applied Mechanics Lab (Dynamic Lab) Code : MEC424 Lecturer : Sir Mohd Syukri Kamil Bin Sulaiman Group : EMD4M2A MEC424 - LABORATORY REPORT Title : Free Vibration Experiment-Natural Frequency Of Spring Mass System Without Damping No Name Student ID Signature 1 Mohamad Hafsham Bin Mazlan 8 2 Erik Shah Bin Lili Murad 2 3 Ikmal Hisham Bin Zainol 8 4 Aslam Husaini Bin Azman 6 LABORATORY SESSION : REPORT SUBMISSION : *By signing above you attest that you have contributed to this submission and confirm that all work you have contributed to this submission is your own work. Any suspicion of copying or plagiarism in this work will result in an investigation of academic msconduct and may result in a “0” on the work, an “F” in the course, or possibly more severe penalties. Marking Scheme No 1 2 3 4 5 6 7 8 Total 1.0 Abstract This experiment that we have conducted introduces and shows basic principle involved in free a vibration which is the Newton’s Second Law. In this experiment, we have to determine the spring constant and natural frequency of experimentally and theoretically. The spring constant is a measure of how stiff and strong the spring is. The force is applied to compress or stretch the string, by the mean of distance of compress/stretch of spring before and after applied force. The natural frequency is the frequency at which a system tends to oscillate in the absence of any driving or damping force. Natural frequency can be either undamped or damped, depending on whether the system has significant damping, but in this experiment, the natural frequency of spring mass system is without damping. This experiment was divided into two parts, first part is to determine the spring constant by adding additional mass of 2 kg until 10 kg by increment of 2 kg. the deflection on the chart paper was recorded and the spring constant was calculated. The experimental spring constant calculated is 1.784 N/m. This value is the gradient of load vs extension graph, which is directly proportional. For the second parts, we have to determine the natural frequency by oscillating the spring only, having mass of 1.25 kg, and then with the addition of additional mass of, by increment of 2 kg. The experimental natural frequency for mass 1.25 kg, 3.25 kg, 5.25 kg, 7.52 kg, 9.25 kg and 11.25 kg is 4.329 Hz, 2.759 Hz, 2.133 Hz, 1.859 Hz, 1.684 Hz and 1.495 Hz, respectively. So, the total experimental natural frequency is 14.26 Hz. As mass added increases, the natural frequency decreases, due to the lengthen of the period of oscillations. Furthermore, the experimental value moves closer to the theoretical value as mass added increases but slightly difference due to the errors occur during the experiment. Table Of Contents No Page 1 Abstract 2 2 List Of Table 4 3 List Of Figure 5 4 List Of Graph 6 4 Introduction 7 5 Theory 8-9 6 Objective 10 7 Experimental Procedure 11-14 8 Result 15-21 9 Discussion I. Mohamad Hafsham Bin Mazlan II. Erik Shah Bin Lili Murad III. Ikmal Hisham Bin Zainol. IV. Aslam Husaini Bin Azman 10 Conclusion I. Mohamad Hafsham Bin Mazlan II. Erik Shah Bin Lili Murad III. Ikmal Hisham Bin Zainol IV. Aslam Husaini Bin Azman 11 References 12 Appendices 13 Teamwork Assessment Form ..........................................continued...........................................................