Concept explainers
Three identical small spheres, each of weight 2 Ib, can slide freely on a horizontal frictionless surface. Spheres B and C are connected by a light rod and are at rest in the position shown when sphere B is struck squarely by sphere A which is moving to the right with a velocity
Want to see the full answer?
Check out a sample textbook solutionChapter 14 Solutions
Vector Mechanics for Engineers: Dynamics
- Three spheres, each with a mass of m , can slide freely on a frictionless, horizontal surface. Spheres A and B are attached to an inextensible, inelastic cord with a length I and are at rest in the position shown when sphere B is struck squarely by sphere C , which is moving with a velocity v0 . Knowing that the cord is taut when sphere B is struck by sphere C and assuming perfectly elastic impact between B and C , and thus the conservation of energy for the entire system, determine the velocity of each sphere immediately after impact.arrow_forwardTwo steel balls, each of mass m = 1.84 kg, are welded to a light rod of length L = 545 mm and negligible mass and are initially at rest on a smooth horizontal surface. The distance b = 111 mm. A horizontal force of magnitude F = 27 N is suddenly applied to the rod as shown. Determine (a) the magnitude of the instantaneous acceleration a of the mass center G and (b) the magnitude of the corresponding rate 0 at which the angular velocity of the assembly about G is changing with time. m Answers: a = 0= IN P 77 M m/s² rad/s²arrow_forwardTwo steel balls, each of mass m = 1.84 kg, are welded to a light rod of length L = 545 mm and negligible mass and are initially at rest on a smooth horizontal surface. The distance b= 111 mm. A horizontal force of magnitude F= 27 N is suddenly applied to the rod as shown. Determine (a) the magnitude of the instantaneous acceleration a of the mass center G and (b) the magnitude of the corresponding rate 0 at which the angular velocity of the assembly about G is changing with time. m Answers: a = O = IN 7. 77 M m/s² rad/s²arrow_forward
- Two steel balls, each of mass m = 1.84 kg, are welded to a light rod of length L = 545 mm and negligible mass and are initially at rest on a smooth horizontal surface. The distance b = 111 mm. A horizontal force of magnitude F = 27 N is suddenly applied to the rod as shown. Determine (a) the magnitude of the instantaneous acceleration a of the mass center G and (b) the magnitude of the corresponding rate 0 at which the angular velocity of the assembly about G is changing with time. Answers: a= 0 = IN PI 771 m/s² rad/s²arrow_forwardSlender rod LA hits block Q at end A of the rod which causes the block to move by a distance of 0.500 m before coming to a full stop. The rod has a mass of 1.300 kg and length of 1.600 m while block Q has a mass of 0.300 kg. Knowing that the coefficient of restitution during the impact is zero and the angular velocity of rod LA immediately after the impact is 0.85 rad/s counterclockwise, answer the following questions: L 1. Determine the speed of the block immediately after impact. 2. angular speed of the rod LA just before impact 3. magnitude of the acceleration of the block 4. closest to the coefficient of kinetic friction, uk, between the block and the surface A Xarrow_forwardA 1-kg block B is moving with a velocity vo of magnitude vo =2 m/s as it hits the 0.5-kg sphere A, which is at rest and hanging from a cord attached at O. Knowing that uk = 0.6 m between the block and the horizontal surface and e=0.8 between the block and the sphere, determine after impact (a) the maximum height h reached by the sphere, (b) the distance x traveled by the block. h Vo A В Xarrow_forward
- Two spheres, each of mass m, can slide freely on a frictionless, horizontal surface. Sphere A is moving at a speed v0 = 16 ft/s when it strikes sphere B which is at rest, and the impact causes sphere B to break into two pieces, each of mass m/2.a) Knowing that 0.7 s after the collision one piece reaches Point C and 1.17 s after the collision the other piece reaches Point D, determine the velocity of sphere A after the collision.b) Knowing that 0.7 s after the collision one piece reaches Point C and 1.17 s after the collision the other piece reaches Point D, determine the angle θ and the speeds of the two pieces after the collision.arrow_forwardThree small spheres A, B, and C , each of mass m , are connected to a small ring D of negligible mass by means of three inextensible, inelastic cords of length I . The spheres can slide freely on a frictionless horizontal surface and are rotating initially at a speed v0 about ring D which is at rest. Suddenly the cord CD breaks. After the other two cords have again become taut, determine (C ) the speed of ring D, (b) the relative speed at which spheres A and B rotate about D , (c) the fraction of the original energy of spheres A and B that is dissipated when cords AD and BD again became taut.arrow_forwardA 3-kg block B is moving with a velocity vo = 1.5 m/s as it hits the 1.25-kg sphere A, which is at rest and hanging from a cord attached at O. Knowing that e = 0.75 between the block and the sphere, which of the following best describes the velocity of sphere A after impact?arrow_forward
- 8 in. 6 in. B PROBLEM 13.58 A 3-lb collar is attached to a spring and slides without friction along a circular rod in a horizontal plane. The spring has an undeformed length of 7 in. and a constant k = 1.5 lb/in. Knowing that the collar is in equilibrium at A and is given a slight push to get it moving, determine the velocity of the collar (a) as it passes through B, (b) as it passes through C. VB = = 11.66 ft/s 15.01 ft/s VC =arrow_forwardA 20-g bullet is fired at a 5-kg square panel of side b = 300 mm. The velocity of the bullet just before the collision is 500 m/s, with = 15°, and is embedded into the plate after impact with a duration of 2.5 × 10 seconds. Knowing that the horizontal component of the impulsive reaction at A is zero, which of the following momentum-impulse diagrams represents the given situation?arrow_forwardProblem 4: Amerry-go-round is a playground ride that consists of a large disk mounted to that it can freely rotate in a horizontal plane. The merry-go-round shown is initially at rest, has a radius R = 1.1 meters, and a mass M= 286 kg. A small boy of mass m = 41 kg runs tangentially to the merry-go-round at a speed of v = 2.5 m/s, and jumps on. Randomized Variables R = 1.1 meters M= 286 kg m = 41 kg v= 2.5 m/s Part (a) Calculate the moment of inertia of the merry-go-round, in kg · m?. I= sin() cos() tan() 8 9 HOME cotan() asin() acos() E 4 5 atan() acotan() sinh() *1|2|3 cosh() tanh() cotanh() +| - END ODegrees O Radians Vol BACKSPACE DEL CLEAR Submit Feedback I give up! Hint Part (b) Immediately before the boy jumps on the merry go round, calculate his angular speed (in radians/second) about the central axis of the merry-go-round. Part (c) Immediately after the boy jumps on the merry go round, calculate the angular speed in radians/second of the merry-go-round and boy. Part (d) The…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