ECOR 1048 AB- Mock Final

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Carleton University *

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1048

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Mechanical Engineering

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Jan 9, 2024

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Peer Assisted Study Sessions (PASS) Facilitator: Ana Catalina Zarate Piedrahita ECOR 1048 It is most beneficial to you to write this mock midterm UNDER EXAM CONDITIONS. This means:  Complete the midterm in approximately 80 minutes.  Work on your own and attempt every question.  Keep your notes and textbook closed. After the time limit, go back over your work with a different colour or on a separate piece of paper and try to do the questions you are unsure of. Record your ideas in the margins to remind yourself of what you were thinking when you take it up at PASS. The purpose of this mock exam is to give you practice answering questions in a timed setting and to help you to gauge which aspects of the course content you know well, and which are in need of further development and review. Use this mock exam as a learning tool in preparing for the actual exam. Please note:  Complete the mock exam before attending the take-up session. During the session you can work with other students to review your work.  Often, there is not enough time to review the entire exam in the PASS workshop. Decide which questions you want to review the most – the Facilitator may ask students to vote on which questions they want to discuss in detail.  Facilitators will not distribute an answer key for mock exams. The Facilitator’s role is to help students work together to compare and assess the answers they have. If you are not able to attend the PASS workshop, you can work alone or with others in the class.  PASS worksheets and mock exams are designed as a study aid only for use in PASS workshops. Worksheets and mock exams may contain errors, intentional or otherwise. It is up to the student to verify the information contained within by attending the PASS workshop. Good Luck writing the Mock Exam! Take-up Session #1 : December 12 th / 10:05-11:25 am/ ME 4499 Take-up Session #2 : December 13 th / 10:05-11:25 am/ ME 4499 Office Hour: December 13 th / 1:05-1:55 pm/ ME 4499 Contact Information: catazaratepiedrahita@cmail.carleton.ca

Peer Assisted Study Sessions (PASS) Facilitator: Ana Catalina Zarate Piedrahita 1. The acceleration of a particle travelling along a straight line is a= (1/4 s ½ ) m/s 2 . If v=0 m/s, s=1m when t=0 seconds, determine the particle’s velocity at s=2m. 2. A particle is moving along a straight line with an initial velocity of 6m/s when it is subjected to a deceleration of a=(-1.5 v ½ ) m/s 2 , where v is in m/s. How much time does it take for the particle to stop? 3. A motorcycle starts from rest at t=0 and travels along a straight road with a constant acceleration of 6 ft/s 2 until it reaches a speed of 50 ft/s. Afterwards it maintains its speed. Also, when t=0, a car located 6000 ft down the road is traveling toward the motorcycle at a constant speed of 30ft/s. Determine the time and distance traveled by the motorcycle when they pass each other.

Peer Assisted Study Sessions (PASS) Facilitator: Ana Catalina Zarate Piedrahita 4. The airplane travels along a straight runway with an acceleration described by the graph. If it starts from rest and requires a velocity of 90m/s to take off, determine the minimum length of runway required an the time t’ for take off. Construct v-t and s-t graphs. 5. The position of a particle is described by r=(300 e -0.5t ) mm and θ=(0.3 t 2 ) rad, where t is in seconds. Determine the magnitudes of the particle’s velocity and acceleration at the instant t=1.5 s.

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Peer Assisted Study Sessions (PASS) Facilitator: Ana Catalina Zarate Piedrahita 6. The motion of peg P is constrained by the lemniscate curved slot in OB and by the slotted arm OA. If OA rotates counterclockwise with an angular velocity of ´ θ =(3 t3/2) rad/s, where t is in seconds, determine the magnitudes of velocity and acceleration of peg P at θ=30˚. When t=0, θ=0˚. 7. The football is to be kicked over the goalpost which is 15 ft high. If its initial speed is V A =80 ft/s, determine it makes it over the goalpost, and if so, by how much, h. Also determine the point B(x,y) where it strikes the bleachers.

Peer Assisted Study Sessions (PASS) Facilitator: Ana Catalina Zarate Piedrahita 8. A toboggan is travelling down along a curve which can be approximated by the parabola y=0.01x 2 . Determine the magnitude of its acceleration when it reaches point A, where its speed is VA=10m/s, and it is increasing at the rate of ( a t ) A =3 m/s 2 . 9. Determine the speed of B if A is moving downwards with a speed of V A = 4m/s at the instant shown.

Peer Assisted Study Sessions (PASS) Facilitator: Ana Catalina Zarate Piedrahita 10. The ship travels at a constant speed of V s = 20m/s and the wind is blowing at a speed of V w =10m/s, as shown. Determine the magnitude and direction of the horizontal component of velocity of the smoke coming from the smock stack as it appears to a passenger on the ship. 11. The man can row the boat in still water with a speed of 5m/s. If the river is flowing at 2m/s, determine the speed of the boat and the angle θ he must direct the boat so that it travels from A and B.

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Peer Assisted Study Sessions (PASS) Facilitator: Ana Catalina Zarate Piedrahita 12.If the 10-lb block A slides down the plane with a constant velocity when θ=30˚, determine the acceleration of the block when θ=45˚. 13. A toboggan and rider of total mass 90kg travel down along the smooth slope defined by the equation y=0.08x2. At the instant x=10 m, the toboggan’s speed is 5 m/s. At this point, determine the rate of increase on speed and the normal force that the slope exerts on the toboggan. Neglect the size of the toboggan and rider for the calculation.

Peer Assisted Study Sessions (PASS) Facilitator: Ana Catalina Zarate Piedrahita 14.The 50-lb block rests on the rough surface for which the coefficient of kinetic friction is µ k =0.2. A force F=(40+S 2 )lb, where s is in ft, acts on the block in the direction shown. If the spring is originally unstretched (s=0) and the block is at rest, determine the power developed by the force the instant the block has moved s=1.5 ft. 15.The force F acting in a constant direction on the 20kg block, has a magnitude that varies with position s of the block. Determine the speed of the block after it slides 3m. When s=0 the block is moving to the right at 2m/s. The coefficient of kinetic friction between the block and the surface is µ k =0.3.

Peer Assisted Study Sessions (PASS) Facilitator: Ana Catalina Zarate Piedrahita 16.The 75kg man bungee jumps off the bridge at A with an initial downward speed of 1.5m/s. Determine the required unstretched length of the elastic cord to which he is attached so that he stops momentarily just above the surface of the water. The stiffness of the elastic cord is k=3kN/m. Neglect the size of the body. 17. The vertical guide is smooth and the 5 kg collar is collar released from rest at A. Determine the speed of the collar when it is at position C. The spring has an unstretched length of 300mm.

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Peer Assisted Study Sessions (PASS) Facilitator: Ana Catalina Zarate Piedrahita 18.The 50 kg is hoisted up the incline using the cable and motor arrangement shown. The coefficient of kinetic friction between the block and the surface is µk=0.4. If the block is initially moving up the plane Vo=2 m/s, and at this instant (t=0) the motor develops a tension in the cord of T=(300+ 120 √ t ) N, where t is in seconds, where t is in seconds, determine the velocity of the block when t=2s. 19.The 2 kg ball is thrown at the suspended 20 kg block with a velocity of 4m/s. If the coefficient of restitution between the ball and the block is 0.8, determine the maximum height h to which the block will swing before it momentarily stops.

Peer Assisted Study Sessions (PASS) Facilitator: Ana Catalina Zarate Piedrahita References: R.C. Hibbeler- Engineering Mechanics: Dynamics (14 th Edition) (2015, Practice Hall)