MMAN2300 – T2 2020 Coriolis Laboratory Assignment

MMAN2300 – T2 2020 Coriolis Laboratory Assignment Assignment Due: 11.59 PM, 7 August 2020 (Friday Week 10) General instructions Use this template to complete the Coriolis Lab Assignment, which has three parts. Part 1 ...

MMAN2300 – T2 2020 Coriolis Laboratory Assignment Assignment Due: 11.59 PM, 7 August 2020 (Friday Week 10) General instructions Use this template to complete the Coriolis Lab Assignment, which has three parts. Part 1 of the assignment can be completed by handwriting or typing. Part 2 and Part 3 MUST be completed by typing, unless otherwise specified. Any handwritten text in Part 2 and Part 3 will not be marked. All parts must be completed to achieve full mark. Use the space provided in the boxes of this document to report your answers. It is recommended to use 11-point Times New Roman font. You must use your zID to run the simulation. Student details Enter your details below First Name: Yinpo ZHU Family Name: ZHU zID: z5212912 Page 1 of 11Situation description You work for a consulting firm that provides solutions to machinery problems. A client has requested for your assistance to solve some issues with a mechanism of their machine. The following is the email you have received from the client. Email from client Hi, As mentioned on the phone earlier, we need your assistance in troubleshooting a mechanism of our machine. I have included some information regarding the mechanism and its issues in this email. The following is a diagram of the mechanism. A slider is constrained to move radially along the groove while the disc rotates about its own centre of mass (fixed). This mechanism is however faulty and requires maintenance before it can operate properly. The problems are: 1) The speed indicator of the rotating disc is not accurate and requires calibration. 2) The speed of the slider relative to the groove is unknown. 3) Due to problem (2), it is difficult to estimate the exact time to stop the mechanism before the slider reaches the end of the groove (and collides with the wall of the groove). To help with the investigation of the problems, we have mounted sophisticated motion sensors on the slider. The motion sensors are capable of measuring (i) the position of the slider with respect to (w.r.t.) the centre of the disc, (ii) the absolute velocity of the slider, and (iii) the absolute acceleration of the slider. Note that the slider can be treated as a particle and the measured distance from the centre of the disc to the end of the groove is 900 mm. We have also mounted two cameras – Camera 1 on the stationary fixed support and Camera 2 on the rotating disc (i.e., rotating with the disc), as we thought some video recordings from the two cameras might be of interest for your analysis. Finally, I have attached a form below and we would appreciate it if you can report the results of your analysis and your suggestions using the form. Look forward to hearing from you! Regards, Client Page 2 of 11Part 1. Velocity and acceleration analysis Part 1 Ref. Report a screenshot of the ‘photo’ you have obtained from the program, showing the given instant of motion and the parameters provided. Note that this step is just for reference and no mark is awarded. Part 1A. Based on the position and motion of the mechanism at the particular instant shown in Part 1 Ref, find: (i) the angular velocity (magnitude and direction) of the rotating disc (note that the angular velocity provided by the speed indicator in Part 1 Ref is inaccurate and you are required to find its accurate value using the data obtained from the motion sensors), (ii) the velocity (magnitude and direction) of the slider relative to the rotating disc, (iii) the Coriolis acceleration (magnitude and direction), (iv) the angular acceleration (magnitude and direction) of the rotating disc, and (v) the acceleration (magnitude and direction) of the slider relative to the rotating disc. For (iv) and (v), note that the angular velocity of the disc and the velocity of the slider relative to the disc are not constant in Part 1. Final answer for (i): 0.5998 rad/s CCW Final answer for (ii): 0.7303 i+0.2984 j(m/ s