Assignment Guidelines (1) No late submission of assignment problems will be accepted unless previously arranged with the lecturer.

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1 Assignment Guidelines (1) No late submission of assignment problems will be accepted unless previously arranged with the lecturer. (2) Each assignment question will be marked as follows: 0 for totally incorrect solution 1-9 for partially incorrect/correct solution 10 for correct solution (3) Solutions of assignment problems must be neatly laid out and all intermediate and final answers clearly highlighted. The detailed working out of the solution must also be included. Failure to do this will result in misinterpretation of your solution which could lead to it being marked incorrectly. (4) Solutions MUST BE WRITTEN ON ONE SIDE OF EACH PAGE ONLY. If you fail to follow this advice and write on both sides of each page only one side will be marked. (5) Solutions should be securely attached in a manila folder with your name, surname underlined, student number, engineering department, subject name, subject code and the assignment number clearly marked on the outside. Each page should be numbered at the bottom. If stapled to the folder, only one staple on the top left hand corner of the page please. (6) Write every second line so that your work can be easily marked. (7) Every question should be started on a new page. (8) Marks may be taken off from the total for poor presentation of solution. (9) When submissions are identical, the mark of one will be divided by the number of identical submissions and this will be awarded to each. (10) Assignments are to be submitted by the appropriate submission date and time in the handing in boxes on Level 3 in ME building (outside Purcell room) (11) Marked assignments will be handed back approximately ten days after they were submitted, during tutorial sessions. (12) Assignment solutions will be available some time during the semester. You will be informed when and where they are available.

2 AMME 2500 ENGINEERING DYNAMICS TUTORIAL 1 Assignment 1:Hand in your calculations for Questions 1, 2 & 3 (NOTE 3 QUESTIONS ARE DUE) TIME/ DATE: 12 noon Mon 23 MAR 2015 PLEASE WRITE YOUR TUTORIAL DAY ON THE COVER (Wed, Thu or Fri) LOCATION: The handing in boxes on Level 3 in ME building (outside Purcell room) LATE PENALTIES will be applied. This assignment should take each student about four and a half hours to complete. Question 1 (i) An airplane pilot climbs to a new flight level along the path shown. If the speed of the airplane decreases at a constant rate from 180 m/s at point A to 160 m/s at point C, determine the magnitude of the abrupt change in the force exerted on a 90 kg passenger as the airplane passes point B.

3 Q1 (ii) A 1.5 kg block A rests on 1.5 kg block B and is attached to a spring of stiffness k= 165 N/m The coefficient of friction between the two blocks are µ s =0.35 and µ k =0.30 and the coefficients of friction between block B and the horizontal surface are µ s =0.15 and µ k =0.1. The blocks are at rest when the spring is stretched 0.15 m, determine a) The velocity of block A as it reaches the position in which the spring is unstretched. b) The maximum velocity of block A. A B Question 2 (i) A 3.kg block A is connected to a 1.5 kg block B by a cord and pulley system and released from rest in the position shown with the spring undeformed. If the stiffness of the spring K=300 N/m, determine a) The velocity of block B after it has moved 0.1 m. b) The maximum velocity of block B c) The maximum displacement of block B. Ignore friction and the mass of the pulley

4 Q2 (ii) A 75-g ball is projected from a height of 1.6 m with a horizontal velocity of 2 m/s and bounce from a 400-g smooth plate supported by two identical springs of stiffness k= 30 N/m. If the height of the rebound is 0.6 m, determine a) The velocity of the plate immediately after impact. b) The energy loss due to the impact. c) The impulse of the force exerted by the plate on the ball.

5 Question 3 (i) The 1 kg ball A is thrown so that when it strikes the 10 kg block B it is travelling horizontally at 10 m/s. If the coefficient of restitution between A and B is e=0.6 and the coefficient of kinetic friction between the plane and the block is µ k =.0.4, determine the distance block B slides on the plane before stopping. Q3 (ii) The ball B has a mass of 5 kg and is originally rotating in a circle. The cord AB has a length of 1.5 m and passes through the hole at A which is 1 m above the plane of motion. If 0.75 m of the cord is pulled through the hole, determine the speed of the ball when it moves in a circular path at B and write an expression for the tension in cord AC (don t solve).

6 Question 4

7 Question 5

8 Question 6 (i)

9 Q6 (ii)

Unit 2: Vector Dynamics

Multiple Choice Portion Unit 2: Vector Dynamics 1. Which one of the following best describes the motion of a projectile close to the surface of the Earth? (Assume no friction) Vertical Acceleration Horizontal