Concept explainers
The tire shown has a radius R = 300 mm and a radius of gyration
Fig. P17.103
Want to see the full answer?
Check out a sample textbook solutionChapter 17 Solutions
Vector Mechanics for Engineers: Statics and Dynamics
Additional Engineering Textbook Solutions
EBK FUNDAMENTALS OF THERMODYNAMICS, ENH
Statics and Mechanics of Materials
Degarmo's Materials And Processes In Manufacturing
Introduction To Finite Element Analysis And Design
Fundamentals of Aerodynamics
Fundamentals Of Thermodynamics
- Two disks A and B, of mass m 1 kg each and of radius 10 cm, are placed on a horizontal table. The disk A is launched in translation with a speed of 10 m/s along the y axis, B is at rest. The coefficient of kinetic friction between the disks is 0.5. The line of impact is at an angle of 60° with the x-axis. The moment of inertia of each disk around its center of mass is I = 1₂ = 0.005 kg.m². The coefficient of restitution between the two disks is e=0.6. a) Determine the velocities of the centers of the two disks, just after the impact. b) Calculate the angular velocities of the disks, just after the impact. c) Calculate the energy loss during the impact.arrow_forwardInside a machine, two gears, A and B, HINGED at their centers, are meshed with each other such that gear A transmits torque and speed to gear B. Gear A has a mass mA=2 kg, radius rA=175 mm, and radius of gyration kA=150 mm. Gear B has a mass B=5 kg, radius rB=525 mm, and radius of gyration kB=400 mm. From rest, a counter-clockwise couple M of constant magnitude 6 Nm is applied to Gear A. Which of the following is closest to the magnitude of the angular acceleration of gear B, in radians per square seconds (rad/s2)?3.0044.814.9445.6arrow_forwardDisk A, of weight 5 lb and radius r = 3 in., is at rest when it is placed in contact with a belt that moves at a constant speed v = 50 ft/s. Knowing that μk = 0.20 between the disk and the belt, determine the time required for the disk to reach a constant angular velocity.arrow_forward
- A flywheel is a mechanical device used to store rotational kinetic energy for later use. Consider a flywheel in the form of a uniform solid cylinder rotating around its axis, with moment of inertia I = 1/2 mr2. 1) Consider a scenario in which the flywheel described in part (a) (r1 = 0.55 m, mass m1 = 16 kg, v = 45 m/s at the rim) is spinning freely at its maximum speed, when a second flywheel of radius r2 = 2.8 m and mass m2 = 11 kg is coaxially dropped from rest onto it and sticks to it, so that they then rotate together as a single body. Calculate the energy, in joules, that is now stored in the wheel. 2) Return now to the flywheel of part (a), with mass m1, radius r1, and speed v at its rim. Imagine the flywheel delivers one third of its stored kinetic energy to car, initially at rest, leaving it with a speed vcar. Enter an expression for the mass of the car, in terms of the quantities defined here.arrow_forwardA 7.5 kg disk A radius of 0.6 m initially rotating clockwise at 300 rev/min is engaged with an 8.5 kg disk B of radius 0.4 m initially rotating counter clockwise at 700 rev/min, where the moment of inertia of a disk is given as I=1/2mr^2. Determine their combined angular speed (in rpm) and direction after the meshing of the two disks.arrow_forwardThe gear shown has a radius R=150mm and a radius of gyration k =125mm. The gear is rolling without sliding with a velocity V1 of magnitude 3 m/s when it strikes a step of height h=75mm. Because the edge of the step engages the gear teeth, no slipping occurs between the gear and the step. Assuming perfectly plastic impact, determine the angular velocity of the gear after it has rotated to the top of the step.arrow_forward
- A rope drum of diameter 850 mm and mass 1000 kg is used in a machine lifting procedure. The drum reaches a top rotational speed of 475 rev/min from rest in a time of 25 s. Determine: (i) the maximum linear speed of the rope;(ii) the angular acceleration of the rope drum;(iii) the moment of inertia of the rope drum, given that its radius of gyration is 250 mm;(iv) the accelerating torque applied to the rope drum.arrow_forwardTwo panels A and B are attached with hinges to a rectangular plate and held by a wire as shown. The plate and the panels are made of the same material and have the same thickness. The entire assembly is rotating with an angular velocity w0 when the wire breaks. Determine the angular velocity of the assembly after the panels have come to rest against the plate.arrow_forwardA slender 9-lb rod can rotate in a vertical plane about a pivot at B. A spring of constant k = 21 lb/ft and of unstretched length 6 in. is attached to the rod as shown in the figure. Knowing that the rod is released from rest in the position shown in the figure, determine its angular velocity after it has rotated through 90 degree .arrow_forward
- A wheel of radius r and centroidal radius of gyration k is released from rest on the incline shown at time t = 0. Assuming that the wheel rolls without sliding, determine (a) the velocity of its center at time t, (b) the coefficient of static friction required to prevent slipping.arrow_forwardA drum A, of mass 200 kg, external diameter 380 mm and radius of gyration 150 mm, rotates on frictionless bearings at 250 rev/min. A stationary drum, B, of mass 50 kg, external diameter 200 mm and radius of gyration 80 mm, mounted on a frictionless axis parallel to that of A, is pressed into contact with A with a force of 90 N. The coefficient of friction is 0·25. Determine: The final speeds of A and B. (b) The time of slipping. (c) The time of slipping if a torque is applied to A, to maintain the speed of A as a constant 250 rev/min.arrow_forwardThe blade of an oscillating fan and the rotor of its motor have a total mass of 300 g and a combined radius of gyration of 75 mm. They are supported by bearings at A and B, 125 mm apart, and rotate at the rate w1 = 1800 rpm. Determine the dynamic reactions at A and B when the motor casing has an angular velocity w2 = (0.6 rad/s)j.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