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Eastern Mediterranean University Faculty of Engineering Department of Mechanical Engineering MENG233 (Midterm Exam) Instructors: (Please select and tick the name of your related lecturer) Assoc. Prof. Dr. Fuat Egelioğlu Assist. Prof. Dr. Mostafa Ranjbar STUDENT’S Name, Surname: ………………………………. Student Number: ……………………………… Questions Marks Time: 90 minutes 1 Date: 05/04/2013 2 3 4 TOTAL --------------------------------------------------------------------------------------------------------------------- Instructions to candidates 1. This is a close book exam. 2. Answers are expected to all questions. 3. Answers are to be written in the spaces provided under each question. 1 1. A truck travels 500 m in 45 s while being decelerated at a constant rate of 0.75 m/s2. Determine (a) its initial velocity, (b) its final velocity, (c) the distance traveled during the first 5 seconds. (25 points) 2 2. Three children are throwing snowballs at each other. Child A throws a snowball with a horizontal velocity V0. If the snowball just passes over the head of child B and hits child C, determine (a) the value of V0, (b) the distance d. (25 points) 3 3. The winch delivers a horizontal towing force F to its cable at A which varies as shown in the graph determine the speed of the 45-Kg bucket when t = 20 s. Originally the bucket is moving upward at 𝑉1 = 4 m/s. (25 points) 4 4. The car A with the mass of 1000kg starts to move downwards on the surface with an initial velocity of 20 ft/s. This car will stops due the friction force of the surface after reaching to the distance of s. Consider the friction coefficient of µ= 0.75 for the surface. Calculate s. (25 points) 1ft = 0.3048m 𝑉0 = (20)(0.3048) = 6.096 𝑚⁄𝑠 ∑ 𝐹𝑛 = 0 ⇒ 𝑁𝐴 = (1000)(9.81)(cos 10) = 9660.96 𝑓 = 𝜇𝑁𝐴 = (0.75)(9660.96) = 7245.72 𝑇1 + 𝑈1−2 = 𝑇2 1 (1000)(6.096)2 + (1000)(9.81)(𝑠)(sin 10) − (7245.72)(𝑠) = 0 2 𝑠 = 3.35 𝑚 5