hw4 - the tower and the airplane 16 km west and 12 km north...

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AE 223 DYNAMICS 2003-2004 Fall Semester HOMEWORK # 4 Given: 31-10-2003 Due : 18-11-2003 at 15:30 1) A 20-Mg railroad car moving at 4 km/h is to be coupled to a 40 Mg car which is at rest with locked wheels ( µ k = 0.30). Determine (a) the velocity of both cars after the coupling is completed, (b ) the time it takes for both cars to come to rest. Figure 1 2) A l.5-kg block B is attached to an undeformed spring of constant k = 80 N/m and is resting on a horizontal frictionless surface when it is struck by an identical block A moving at a speed of 5 m/s. Considering successively the cases when the coefficient of restitution between the two blocks is (1) e = 1, (2) e = 0, determine (a) the maximum deflection of the spring, (b) the final velocity of block A. Figure 2 3) A small airplane of mass 1500 kg and a helicopter of mass 3000 kg flying at an altitude of 1200 m are observed to collide directly above a tower located at O in a wooded area. Four minutes earlier the helicopter had been sighted 8.4 km due west of
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Unformatted text preview: the tower and the airplane 16 km west and 12 km north of the tower. As a result of the collision the helicopter was split into two pieces, H 1 and H 2 , of mass m ı = 1000 kg and m 2 = 2000 kg, respectively; the airplane remained in one piece as it fell to the ground. Knowing that the two fragments of the helicopter were located at points H 1 (500 m, -100 m) and H 2 (600 m, -500 m), respectively, and assuming that all pieces hit the ground at the same time, determine the coordinates of the point A where the wreckage of the airplane will be found. Figure 3 4) Two hemispheres are held together by a cord which maintains a spring under compression (the spring is not attached to the hemispheres). The potential energy of the compressed spring is 120 J and the assembly has an initial velocity Vo of magnitude Vo = 8 m/s. Knowing that the cord is severed when θ = 30°, causing the hemispheres to fly apart, determine the resulting velocity of each hemisphere. Figure 4...
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This note was uploaded on 05/11/2010 for the course AEE 145 taught by Professor Sdsds during the Spring '10 term at Middle East Technical University.

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hw4 - the tower and the airplane 16 km west and 12 km north...

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