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CORK INSTITUTE OF TECHNOLOGY INSTITIÚID TEICNEOLAÍOCHTA CHORCAÍ
Semester 1 Examinations 2009/
Module Title: Mechanics 1
Module Code: MECH 6029
School: Mechanical & Process Engineering
Programme Title: Bachelor of Engineering (Honours) in Sustainable Energy – Stage 1 Bachelor of Engineering in Building Services Engineering – Stage 1 Bachelor of Engineering in Mechanical Engineering – Stage 1 Bachelor of Engineering in Biomedical Engineering – Stage 1
Programme Code: ESENT_8_Y EBSEN_7_Y EMECH_7_Y EBIME_7_Y
External Examiner(s): Mr. R. Linger, Prof. E. Coyle, Mr. C. Leddy, Dr. B. Costelloe Internal Examiner(s): Mr. W. Corr, Ms. M. Cullinane, Ms. M. Kavanagh, Mr. M. Walsh
Instructions: Answer any FOUR questions. All question carry equal marks
Duration: 2 hours
Sitting: Autumn 2011
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 paper. If in doubt please contact an Invigilator.
- (a) Distinguish between the resultant force and the equilibrant. (2 marks)
(b) Determine the magnitude and direction of the resultant of the 8kN force and the 5kN force shown below. (6 marks)
(c) The narrow beam AB shown is pin connected at A and is supported by a cable at B. The applied loadings of 26kN and 40kN are acting in the directions shown. The 26kN force acts at 67 to the horizontal. The cable is at an angle of 37 to the horizontal. Determine the magnitude and the direction of, the reactions at the pin A and the tension in the cable necessary for equilibrium. (17 marks)
- A force of 550N acting parallel to a plane inclined at 20° to the horizontal is required to move a mass of 60kg up the plane at constant velocity. Sketch this arrangement (5 marks) Find:
(a) The coefficient of dynamic friction between the mass and inclined plane (10 marks)
(b) The force acting parallel to the plane required to drag the body down the plane at a steady velocity. (10 marks)
- (a) Sketch a velocity-time graph showing: (i) uniform acceleration (2 marks) (ii) constant velocity (2 marks) (iii) uniform retardation (2 marks) (iv) displacement (2 marks)
(b) An aircraft lands on the deck of an aircraft carrier at a speed of 60m/s. It is brought to rest by the arresting cable in a distance of 72m. Determine the deceleration of the aircraft and the time taken to halt the plane. (9 marks)
(c) A person tosses a coin vertically upwards with a velocity of 2.5m/s. Calculate the maximum height that the coin will reach and the total time taken for the coin to land back in the person’s hand. (8 marks)
- (a) State Newton’s three laws of motion (6 marks)
(b) State the principle of conservation of momentum (4 marks)
(c) A rail wagon of mass 7.2 tonnes and travelling at 60 km/h collides with a second similar wagon at rest. Calculate (i) the magnitude and direction of their common velocity if both wagons travel on coupled together (7 marks) (ii) the magnitude and direction of their common velocity if the second wagon were moving at 65 km/h in the opposite direction to the first before impact (8 marks)
