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The instructions and questions for the autumn examinations 2012 of the introductory thermofluids module (mech6010) at the cork institute of technology. The module is part of the bachelor of engineering (honours) programs in mechanical engineering, biomedical engineering, and materials and process engineering. The exam covers topics such as parallel axis theorem, stability of partially submerged floating vessels, surface tension, and steam plant operation. Students are required to answer any three questions, each carrying equal marks, within 2 hours.
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Autumn Examinations 2012
Module Code: MECH
School: Mechanical & Process Engineering
Programme Title: Bachelor of Engineering (Honours) in Mechanical Engineering Bachelor of Engineering (Honours) in Biomedical Engineering
Programme Code: EMECH_8_Y EBIOM_8_Y EOMNI_8_Y
External Examiner(s): Mr. JJ Hayes, Prof S Leen, Mr. G Clerkin, Dr. L. McNamara Internal Examiner(s): Mr. Sean Williams
Instructions: Answer any THREE questions. All Questions carry equal marks.
Duration: 2 Hours
Sitting: Autumn 2012
Requirements for this examination:
Note to Candidates: Please check the Programme Title and the Module Title to ensure that you have received the correct examination. If in doubt please contact an Invigilator.
Q1. (a) State the Parallel Axis Theorem. (4 marks) (b) A sluice gate in the form of a quadrant OAB of a circle has a radius of 2.5m and is pivoted at its centre O. Its centre of gravity G is located 0.6m vertically down and 0.6m horizontally in from its centre O. The width of the gate is 2m and it has a mass of 4,500kg. When the water is level with the pivot O determine the following:
i. The magnitude and direction of the resultant force on the gate due to the water. (10 marks) ii. The turning moment required to open the gate. (6 marks)
Q2. (a) Demonstrate the necessary and sufficient condition to ensure stability in a partially submerged floating vessel. (8 mark)
(c) A partially submerged floating vessel has a displacement of 2,300,000kg of fresh water. A mass of 22,000kg has moved 7m across the deck causing the lower end of a 3m pendulum to move 25cm horizontally. Calculate the transverse metacentric height. (12 marks)
Q5. (a) Demonstrate the appropriate polytropic index associated with the following process types:
Constant Pressure Constant Temperature (5 marks)
(b) A closed system receives 170.4 kJ of heat at constant volume. It then rejects 180 kJ of heat while it has 42 kJ of work done on it at constant pressure.
i. If the value of the internal energy in the initial state is arbitrarily put to equal to zero, find the internal energies at the other two states. (6 marks) ii. If an adiabatic process can be found which will restore the system to its initial state, how much work will be done on the system at constant pressure. (3 marks)
iii. Sketch the cycle on a PV diagram. Is net work done on or by the system. (6 masks)