Concept explainers
The center of gravity G of a 1.5-kg unbalanced tracking wheel is located at a distance r = 18 mm from its geometric center B. The radius of the wheel is R = 60 mm and its centroidal radius of gyration is 44 mm. At the instant shown, the center B of the wheel has a velocity of 0.35 m/s and an acceleration of 1.2 m/s2, both directed to the left. Knowing that the wheel rolls without sliding and neglecting the mass of the driving yoke AB, determine the horizontal force P applied to the yoke.
Fig. P16.113
Want to see the full answer?
Check out a sample textbook solutionChapter 16 Solutions
<LCPO> VECTOR MECH,STAT+DYNAMICS
Additional Engineering Textbook Solutions
Engineering Mechanics: Statics & Dynamics (14th Edition)
Fluid Mechanics Fundamentals And Applications
Introduction To Finite Element Analysis And Design
Vector Mechanics for Engineers: Dynamics
INTERNATIONAL EDITION---Engineering Mechanics: Statics, 14th edition (SI unit)
Applied Statics and Strength of Materials (6th Edition)
- If the earth were a sphere, the gravitational attraction of the sun, moon, and planets would at all times be equivalent to a single force R acting at the mass center of the earth. However, the earth is actually an oblate spheroid and the gravitational system acting on the earth is equivalent to a force R and a couple M. Knowing that the effect of the couple M is to cause the axis of the earth to precess about the axis GA at the rate of one revolution in 25 800 years, determine the average magnitude of the couple M applied to the earth. Assume that the average density of the earth is 5.51 g/cm 3 , that the average radius of the earth is 6370 km, and that ( Note: This forced precession is known as the precession of the equinoxes and is not to be confused with the free precession discussed in Prob. 18.123.)arrow_forwardTwo uniform cylinders, each of mass m = 6 kg and radius r = 125 mm, are connected by a belt as shown. Knowing that at the instant shown the angular velocity of cylinder A is 30 rad/s counterclockwise, determine (a) the time required for the angular velocity of cylinder A to be reduced to 5 rad/s, (b) the tension in the portion of belt connecting the two cylinders.arrow_forwardA 5.32-kg disk A of radius 0.445 m initially rotating counter-clockwise at 436 rev/min is engaged with a 6.72-kg disk B of radius 0.275 m initially rotating clockwise at 528 rev/min, where the moment of inertia of a disk is given as I = ½ mi?. Determine their combined angular speed (in rpm) and direction of rotation after the meshing of the two disks. Remember to show clearly the equations that you use!!'arrow_forward
- Required information NOTE: This is a multi-part question. Once an answer is submitted, you will be unable to return to this part. A 4-kg slender rod is welded to the edge of a 3-kg uniform disk as shown. The assembly rotates about A in a vertical plane under the combined effect of gravity and of the vertical force P. Know that at the instant shown, the assembly has an angular velocity of 12 rad/s and an angular acceleration of 36.5 rad/s2, both counterclockwise. 120 mm Determine the force P. B The force P is D 240 mm с 240 mm (You must provide an answer before moving on to the next part.) |N.↓arrow_forwardescribe the motion of bodies A and Bof each mechanism shown as: (1) tre n about a fixed axis; or (3) general plane motion A B (b) (c)arrow_forward3. An individual does leg curl exercise to strengthen his hamstring muscles. The 3 kg load is located 36 cm from the axis of rotation (the knee joint). The leg weight is 5 kg and the center of mass of the leg is located 20 cm from the knee joint. The radius of gyration about the center of mass of the leg is 14 cm. At the instant shown, the leg is in a horizontal position and is moving counterclockwise with an angular acceleration of a = +4 rad/s² and an angular velocity of w = +3 rad/s² The hamstring muscle inserts 3 cm from the knee joint and is oriented at an angle of 60° with respect to the leg. Treat the 3 kg load as a point mass. Calculate the following: (a) the magnitude of Fm required to cause this motion. (b) the magnitudes of both the tangential and centripetal accelerations of the load. Knee pivot Hamstring muscle Perpendicular distance to pivot Weight force (load) Fm 36 cm 60 knees 5 kg 3 cm 3 kg Answers: a) 890.46 N; b) tangential: 1.44 m/s²; centripetal: 3.24 m/s²arrow_forward
- PROBLEM:arrow_forwardThree shafts and four gears are used to form a gear train which will transmit 7.5 kW from the motor at A to a machine tool at F. (Bearings for the shafts are omitted from the sketch.) Knowing that the frequency of the motor is 30 Hz, determine the magnitude of the couple that is applied to shaft (a) AB(b) CD (c) EF.arrow_forwardI need correct solutionarrow_forward
- 1 A thin 5m long uniform rod is free to rotate in the plane of the page about a fixed axis at Point A. Point A is 2m from one end of the rod. The mass of the rod is 60kg. a. What is the mass moment of inertia of the rod about Point A? b. If friction is negligible, what is the angular acceleration of the rod when it is at an angle of 50° from horizontal, as shown? gl 9 mass = 60 kg 3 m 50° A stationary 2 marrow_forwardThe shutter shown was formed by removing one quarter of a disk of 0.75-in. radius and is used to interrupt a beam of light emanating from a lens at C. Knowing that the shutter weighs 0.125 lb and rotates at the constant rate of 24 cycles per second, determine the magnitude of the force exerted by the shutter on the shaft at Aarrow_forwardA rotating shaft carries four masses A, B, C and D which are radially attached to it. The mass centres are 30 mm, 38 mm, 40 mm and 35 mm respectively from the axis of rotation. The masses A, C and D are 8 kg, 6 kg and 5 kg respectively. The axial distances between the planes of rotation of A and B is 400 mm and between B and C is 500 mm. The masses A and C are at right anales to each other and mass A is positioned at 0°. 2.3. If the mass are balance calculate the axial distance between the planes of rotation of C and D. 2.3. Calculate the magnitude of mass B.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