AMME2500: ENGINEERING DYNAMICS PRACTICE EXAM Dr. Mitch Bryson School of Aerospace, Mechanical and Mechatronic Engineering, University of Sydney AMME2500 Engineering Dynamics | Dr. Mitch Bryson AMME2500 Final Exam • The exam is worth 50% of the marks in this course • Canvas quiz: administered through a special exam- specific Canvas site which you will be added to closer to the exam time • You will have 120 minutes plus 10 mins reading time • It will have three parts: • (a) Multiple Choice Questions: these will be focused around conceptual questions and questions involving short calculations • (b) Analysis Questions: Analysis questions covering problems in kinematics and kinetics of particles and rigid bodies: worked solutions to be uploaded after exam, answers entered in Quiz • (c) Written Answer Questions: Conceptual questions requiring a qualitative explanation of principles or analysis of an example problem 2 AMME2500 Engineering Dynamics | Dr. Mitch Bryson Practice Exam Session • Schedule: • 9am to 9:15am: Introduction • 9:15am to 10am: Completing the exam • 10am: Going through exam solutions, questions • Session attendance is optional (but recommended) and the practice exam does not count towards your final mark 3 AMME2500 Engineering Dynamics | Dr. Mitch Bryson Practice Exam Solutions 4 AMME2500 Engineering Dynamics | Dr. Mitch Bryson MCQs 5 A large rock and a small rock are both dropped from a height of 1m. The large rock has four times the mass of the smaller rock. Neglecting air resistance, which of the following statements is true? A. The small rock has twice the velocity of the larger rock when it hits the ground B. The larger rock has twice the velocity of the small rock when it hits the ground C. The small rock hits the ground at the same time as large rock D. The small rock hits the ground in a quarter of the time taken by the larger rock E. The large rock hits the ground in a quarter of the time taken by the smaller rock AMME2500 Engineering Dynamics | Dr. Mitch Bryson MCQs 6 The ball shown above rolls down a 30 degree incline without slipping. If the ball has a mass of 2kg and moves a distance of 1m along the incline, what is the work done by the friction force acting between the ball and the inclined plane? A. 2.0J B. 0J C. 1.0J D. -2.0J E. -1.0J AMME2500 Engineering Dynamics | Dr. Mitch Bryson MCQs 7 For the rear wheel drive car shown above, consider a situation in which the car starts from rest and accelerates to the left. The tires do not slip on the road. Assume the normal force on the rear tires is N and the coefficients of static and kinetic friction are μs and μk, respectively. The friction force, F, acting on the rear tires is given by what expression and what is its direction? A. F ≤ μsN to the right B. F ≤ μsN to the left C. F = μkN to the left D. F = 0 E. F = μkN to the right AMME2500 Engineering Dynamics | Dr. Mitch Bryson MCQs 8 On the system pictured above, the flywheel spins on its axle with an angular velocity of ws = 6 rad/s, while the frame of the system has an angular velocity of wp = 3 rad/s in the directions shown. What is the angular acceleration of the flywheel? A. -18i rad/s2 B. -0.9j rad/s2 C. 0 rad/s2 D. 18i rad/s2 E. 0.9j rad/s2 !˙s = (!˙s)xyz + !p ⇥ !s AMME2500 Engineering Dynamics | Dr. Mitch Bryson MCQs 9 Using the pulley system shown above, if the cable at B is pulled to the right at 6 m/s, what is the velocity of the block at A? A. 3 m/s downwards B. 3 m/s upwards C. 6 m/s upwards D. 2 m/s upwards E. 6 m/s downwards AMME2500 Engineering Dynamics | Dr. Mitch Bryson Question 6 10 A roller coaster loop is designed as shown in the figure above. At point 1, the cart is at a height h1 = 30m from the ground and has an initial speed v1 = 5m/s along the track. The top of the vertical loop at point 2 is located at a height h2 = 20m and the loop has a radius of curvature of 9.0m at this point. When arriving at the bottom of the track, the cart is at a height h3 = 2.0m from the ground. Neglecting friction between the cart and the track, determine the speed of the cart (in m/s) when it reaches the bottom of the track at point 3. AMME2500 Engineering Dynamics | Dr. Mitch Bryson Question 6 11 AMME2500 Engineering Dynamics | Dr. Mitch Bryson Question 7 12 For the same roller coaster shown in Question 6, determine the magnitude of the normal force acting on the cart from the track when the cart is at the top of the loop at point 2 if the cart has a mass of 200kg. Provide your answer in N. AMME2500 Engineering Dynamics | Dr. Mitch Bryson Question 7 13 AMME2500 Engineering Dynamics | Dr. Mitch Bryson Question 8 14 A 100 kg steel beam is connected to a ceiling fixture via two pin joints at A and B. The beam is initially in a horizontal position when the pin joint at B fails, and the beam begins to swing about the remaining pin joint at A. Assuming the beam can be modelled as a thin rod, with length L = 2m, determine the initial magnitude of reaction force acting on the pin joint at A at the instant when pin joint B fails and theta = 0o. Provide your answer in N. AMME2500 Engineering Dynamics | Dr. Mitch Bryson Question 8 15 AMME2500 Engineering Dynamics | Dr. Mitch Bryson Question 9 16 Consider the satellite shown above. The satellite is spun-up about it's X-axis (given an initial angular velocity about it's X-axis) in order to stabilise the motion of the satellite. Discuss with respect to principles of gyroscopic motion, what the effect of a disturbing torque about the Z-axis of the satellite would be? Why is the X-axis a good choice of axis to rotate the spacecraft around (from the perspective of spin-stabilisation), as opposed to the Y-axis? • Describe gyroscopic precession from the perspective of angular momentum and impulse: • Correctly describe the directions of precessing motion given examples of the direction of spin/disturbances • Describe the effect of the intermediate axis theorem with respect to the geometry and estimates of the mass moments of inertia of the satellite AMME2500 Engineering Dynamics | Dr. Mitch Bryson Unit of Study Survey (USS) • Important way to hear from you what worked for you and what didn’t work for you from this course • Feedback is important: helps us to continually work on improving the course • The USS is completely confidential and student responses are anonymous • You could win a new 13” Macbook Air, 64gB Apple Ipad air or Apple watch! • You can access the survey: • https://student-surveys.sydney.edu.au/students/ 17 AMME2500 Engineering Dynamics | Dr. Mitch Bryson Thanks for a great year and good luck on your exams! 18

















































































































































































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