A 120-ton tugboat is moving at 6 ft/s with a slack towing cable attached to a 100-ton barge that is at rest. The cable is being unwound from a drum on the tugboat at a constant rate of 5.4 ft/s and that rate is maintained after the cable becomes taut. Neglecting the resistance of the water, determine (a) the velocity of the tugboat after the cable becomes taut, (b) the impulse exerted on the barge as the cable becomes taut.
Fig. P13.145
Trending nowThis is a popular solution!
Chapter 13 Solutions
Vector Mechanics for Engineers: Statics and Dynamics
Additional Engineering Textbook Solutions
Introduction To Finite Element Analysis And Design
Fox and McDonald's Introduction to Fluid Mechanics
EBK FUNDAMENTALS OF THERMODYNAMICS, ENH
Statics and Mechanics of Materials
Vector Mechanics for Engineers: Statics and Dynamics
Engineering Mechanics: Statics & Dynamics (14th Edition)
- An orbiting satellite has a mass of 5000 kg and is travelling at a constant velocity of V0. To alter its orbit, an attached rocket discharges 100 kg of gases from the reaction of solid fuel at a speed of 3000 m/s relative to the satellite in a direction opposite V0. The fuel discharge rate is constant for 2 s. Determine(a) The thrust exerted on the satellite.(b) The acceleration of the satellite during this 2 s period.(c) The change of velocity of the satellite during this time period.arrow_forwardA 2-kg collar is attached to a spring and slides without friction in a vertical plane along the curved rod ABC . The spring is undeformed when the collar is at C and its constant is 600 N/m. If the collar is released at A with no initial velocity, determine its velocity (a) as it passes through B, (a) as it reaches C.arrow_forwardA 4-kg collar is attached to a spring and slides without friction in a vertical plane along the curved rod ABC. The spring is unstretched (- ė jall el) when the collar is at C and its constant is 700 N/m. If the collar is released at A with no initial velocity, determine:- 1- The velocity as it passes through B and as it reaches C. 2- The normal reaction between the collar and curved rod at point B assuming the radius of curvature at B is 200 mm. -150 mm - 250 mm ww C 200 mm Вarrow_forward
- A block with a mass of m is dropped from a certain height. An undeformed spring with a spring constant of 450 N/m is placed directly below it. The distance between the top of the spring and the block is 3 m. Determine the magnitude of velocity of the block just before it hits the spring (use principles of work and energy) and prove using kinematic equations Determine the deformation of the spring as the block reaches its lowest point. (use principles of work and energy) Determine the magnitude of the velocity of the block as the spring returns to its original length. use (principles of work and energy) hello please help thank youuuu very very urgentarrow_forwardA block with mass 0.400 kg is on a horizontal frictionless surface and is attached to a horizontal compressed spring that has force constant k=200N/m The other end of the spring is attached to a wall. The block is released, and it moves back and forth on the end of the spring. During this motion the block has speed 3.00 m/s when the spring is stretched 0.160 m. During the block's motion, what is the maximum distance the spring is compressed from its equilibrium position? When the spring has its maximum compression, what is the speed of the block and what is the magnitude of the acceleration of the block?arrow_forwardA stream of water flowing at a rate of 1.2 m3/min and moving with a speed of 30 m/s at both A and B is deflected by a vane welded to a hinged plate. Knowing that the combined mass of the vane and plate is 20 kg with the mass center at point G , determine (a) the angle 0, (b) the reaction at C.arrow_forward
- Mickey, a daredevil mouse of mass 0.0181 kg is attempting to become the world's first "mouse cannonball." He is loaded into a spring‑powered gun pointing up at some angle and is shot into the air. The gun's spring has a force constant of 54.7 N/m and is initially compressed a distance of 0.137 m from its relaxed position. If Mickey has a constant horizontal speed of 2.27 m/s while he is flying through the air, how high h above his initial location in the gun does Mickey soar? Assume g = 9.81 m/s^2.arrow_forwardAn automobile weighing 4000 lb is driven down a 5° incline at a speed of 60 mih when the brakes are applied, causing a constant total braking force (applied by the road on the tires) of 1500 Ib. Determine the time required for the automobile to come to a stop.arrow_forwardA Dynamics experiment consists of collar B (mg = 10 kg) traveling to the left at VB = 1.5 m/s on a frictionless rail when a constant FB = 45 N force is applied to it. The collar is connected through a frictionless pulley system to weight A (mà = 3 kg). In the position shown the collar is x₁ = 1.25 m from the support at C. Determine: (a) The speed of collar B as it strikes the support at C if force FB acts on it throughout. (b) After what distance d should the FB force be removed if the collar is to reach support C with zero velocity? FBarrow_forward
- A launch vehicle has 6 engines operating in parallel which are fed from the same propellant tank. Initially, each engine has an equivalent exhaust velocity of 3500 m/s and consumes 400 kilograms of propellant per second. One of the engines malfunctions and consequently operates at 50% thrust and 120% propellant consumption. Calculate the equivalent exhaust velocity in m/s of all engines if treated as a single engine, including the malfunctioning engine in your calculation.arrow_forwardCollar A has a mass of 3 kg and is attached to a spring of constant 1200 N/m and of undeformed length equal to 0.5 m. The system is set in motion with r = 0.3 m, v0 = 2 m/s, and vr = 0. Neglecting the mass of the rod and the effect of friction, determine (a) the maximum distance between the origin and the collar, (b) the corresponding speed. (Hint: Solve the equation obtained for rby trial and error.)arrow_forwardTo find the maximum velocity of two dump trucks connected by a cable. As shown, two dump trucks are connected by a cable. One truck (Truck 1) is loaded, has a maximum engine power P , and is able to attain a maximum speed of v. Another truck (Truck 2) has a maximum engine power 2P and can attain a maximum speed of 1.5v. To solve this problem, assume that each truck, when not attached to the other truck, has a speed that is limited only by wind resistance. Also assume the following: The wind resistance is a constant force (although a different constant for each truck). Therefore, it is independent of a truck’s speed. The wind resistance force on each truck is the same before and after the cable is connected. The power that a truck's engine can generate is independent of that truck's speed. Find vmax, the maximum speed of the two trucks when they are connected. Assume that both engines are running at maximum power. Express your answer in terms of v.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