Concept explainers
Three steel spheres of equal mass are suspended from the ceiling by cords of equal length which are spaced at a distance slightly greater than the diameter of the spheres. After being pulled back and released, sphere A hits sphere B, which then hits sphere C. Denoting by e the coefficient of restitution between the spheres and by v0 the velocity of A just before it hits B, determine (a) the velocities of A and B immediately after the first collision, (b) the velocities of B and C immediately after the second collision. (c) If n spheres are suspended from the ceiling and the first sphere is pulled back and released as described above, determine the velocity of the last sphere after it is hit for the first time. (d) Use the result of part c to obtain the velocity of the last sphere when n = 5 and e = 0.85.
Fig. P13.161
Want to see the full answer?
Check out a sample textbook solutionChapter 13 Solutions
VECTOR MECH. FOR EGR: STATS & DYNAM (LL
- 2. Disk A has a mass of 350 g and is sliding on a smooth horizontal surface with an initial velocity (VA)I= 4 m/s. It makes a direct collision with disk B, which has a mass of 155 g and is originally at rest. If both disks are of the same size and the coefficient of restitution is 0.70, determine the velocity of each disk just after collision.arrow_forwardTwo identaical billiard balls can move freely on a horizontal table. Ball A has a velocity 5 m/s as shown. And hits ball B, which is at rest, at point C defined by θ=45. Knowing that the coefficient of restitution between the two balls is e=0.8, determine the velocity of each ball after impact. They have equal mass of 200 g.arrow_forwardDirect central impact occurs between a 100lbs body moving to the right at 5 ft per second and a body of weight W moving to the left at 3 ft per sec. The coefficient of restitution e = 0.5. After impact the 100lb body rebounds to the left at 2ft/s. Determine the weight W of the other body. (lbs)arrow_forward
- Member ABC has a mass of 2.4 kg and is attached to a pin support at B. A 0.8-kg sphere D strikes the end of member ABC with a vertical velocity v1=3 m/s. Knowing that L=0.75 m and that the coefficient of restitution between the sphere and member ABC is 0.5, answer the following: A D B 1. Which of the following has impulse/s that is/are NOT considered negligible during the impact of the sphere to member AB? I. Weight of Member ABC II. Weight of Sphere D III. Impact force between Sphere D and Member ABC IV. The reactions at pin B III only IV only I and II only III and IVonly →arrow_forwardA 100 kg body moves to the right at 5 m/s and another body of mass of W moves to the left at 3 m/s. they meet each other and after impact, the 100 kg body rebounds to the left at 2 m/s. Determine the mass of the other body if the coefficient of restitution is 0.50.arrow_forwardThe 3.9-lb rod AB is hanging in the vertical position. A 2.2-lb block, sliding on a smooth horizontal surface with a velocity of 12 ft/s, strikes the rod at its end B. (Figure 1) 3.98 12 ft/s PA ft S A Determine the velocity of the block immediately after the collision. The coefficient of restitution between the block and the rod at B is e = 0.84. Express your answer to three significant figures and include the appropriate units. ? B C 3 ft form Cyc HEALT wayarrow_forward
- A ball has a weight of 2-lb strikes a 6-lb rod at a point C which far away from A with a value of x = 3.5 ft. The velocity of the ball mass center (Vep)ı = 8 ft/s when it strikes the rod which is at rest. Assuming the coefficient of restitution after the impact e=0.2. determine the following: O After the impact, the velocity of the ball mass center (Va,)z- O After the impact, the velocity of point C (Vc)2- o The angular velocity (w) of the rod about the Zaxis. In your calculation, neglect the inertia of the vertical part of the rod AO. 05 G,arrow_forwardBlock A is released from rest and slides down the frictionless surface of B until it hits a bumper on the right end of B. block has a mass of 10 kg and object B has a mass of 30 kg and B can roll freely on the ground. Determine the velocities of A and B immediately after impact when (a) e= 0, (b) e= 0.7.arrow_forwardOnly handwritten otherwise dislikearrow_forward
- Two frictionless balls strike each other as shown. The coefficient of restitution between the balls is e . Draw the impulse-momentum diagram that could be used to find the velocities of A and B after the impact.arrow_forwardBlock A of mass 5kg is moving with a velocity 5m/s. it then hit block B of mass 2kg moving at a rate of 2m/s moving in the same direction. If the coefficient of restitution between A and B is 0.2, determine the initial and final velocities of the blocksarrow_forwardDisks A and B have a mass of 6kg and 4kg, respectively. They are sliding on the smooth horizontal plane with the velocities shown. The coefficient of restitution is 0.6. a. Determine the velocity of B after collision. b. Determine the velocity of A after collision. c. Determine the velocity of A along the line of impact after collision.arrow_forward
- Elements Of ElectromagneticsMechanical EngineeringISBN:9780190698614Author:Sadiku, Matthew N. O.Publisher:Oxford University PressMechanics of Materials (10th Edition)Mechanical EngineeringISBN:9780134319650Author:Russell C. HibbelerPublisher:PEARSONThermodynamics: An Engineering ApproachMechanical EngineeringISBN:9781259822674Author:Yunus A. Cengel Dr., Michael A. BolesPublisher:McGraw-Hill Education
- Control Systems EngineeringMechanical EngineeringISBN:9781118170519Author:Norman S. NisePublisher:WILEYMechanics of Materials (MindTap Course List)Mechanical EngineeringISBN:9781337093347Author:Barry J. Goodno, James M. GerePublisher:Cengage LearningEngineering Mechanics: StaticsMechanical EngineeringISBN:9781118807330Author:James L. Meriam, L. G. Kraige, J. N. BoltonPublisher:WILEY