Concept explainers
The disk shown moves in the xy p1ane. Knowing that
Fig. P15.44 and P15.45
Want to see the full answer?
Check out a sample textbook solutionChapter 15 Solutions
Vector Mechanics for Engineers: Dynamics
- The bent rod rotates about an axis connecting points A and E. All bends in the rod are 90° angles, and the given dimensions are h=21 cm, / = 14.5 cm, d = 21cm, and b = 7.6 cm. Express all your answers using the component system shown. If, at the instant shown, the rod is rotating with a constant angular speed of 26 rad/s and the rotation is counterclockwise as viewed from A looking toward E, determine the velocity and acceleration of point C. (Round the final answers to four decimal places. Include a minus sign if necessary.) The velocity of point Cisc The acceleration of point C is ac = Â) cm/s. k)cm/s²arrow_forwardIf D rotates at angular velocity of 8rad/s clockwise and angular velocity of rod ab 5rad/s clockwise, while acceleration of point A is 19.20 m/s^2 to the right, what is the angular acceleartion of rod ab?arrow_forwardPb 1) The angular velocity and angular acceleration of link 2 of the linkage shown are 20 rad/s cw and 600 rad/s² cw, respectively. Noting that the lengths AO2, AC and BA are all equal to 10 cm, determine: (a) VB, VC, @3 (b) aB, ac, α3. Bo 2 15° 3 Ans: 388 cm/s downward, 104 cm/s right, 20 rad/s ccw, 13600 cm/s² downward, 5000 cm/s² left, 600 rad/s² ccw Pb 2) In the mechanism shown, the angular velocity of link 2 is 130 rpm CW (constant). Using graphical method, determine: (a) VE, VF, 3, 4, 5, (b) aɛ, af, α3, A4, α5. D 3 2 C 60° 7 A E 5 AB = 1.8' BC = 3.75' CD = 3.75' AD = 4.5' AE= 4.35' DE=6.0' EF= 11.1' F Ans: 34 ft/s, 37 ft/s, 10.93 rad/s cw, 8 rad/s cw, 1.1 rad/s ccw, 288 ft/s2, 90 ft/s2, 51.2 rad/s² ccw, 18.7 rad/s² cw, 27.6 rad/s² ccwarrow_forward
- Review questions please explain in full detail.arrow_forwardAns all sub part pls...arrow_forwardConsider the homogeneous rectangular plate with side lengths a = 9cm and b = 5cm. At a certain instant the velocity of point B is VB = 2.3j m/s and the velocity of point C is Vc = 5j m/s. Determine the speed of the corner point A (m/s) at this instant. Give answer to 3 decimal figures.arrow_forward
- At some instant in the motion of a lamina in its own (Ox, y) plane the displacement from one of its points P to another point Q is (–5i + 10j) cm. If the velocity of P is (7i – 2j) cm s-1 and the velocity of Q has x-component 5 cms-1, determine (i) the angular velocity of the lamina, and (ii) the velocity of Q.arrow_forward15.55 The end D of the string wound around the core of the yoyo is pulled by vD as shown. If the yoyo rolls withont slipping, determine w of the yoyo and vB of the point B.arrow_forwardTHIS IS A SUPPLEMENTAL STUDY PROBLEM GIVEN AS AN EXTRA EXAMPLETHIS IS NOT A GRADED ASSIGNMENTarrow_forward
- The plate shown moves in the xy plane. Knowing that (v₁), = 165 mm/s, (VB)y=180 mm/s, and (vc)y = - = -55 mm/s, 125 mm 125 mm A VA= (VA) x + (VA) yj VB = (VB) x + (VB)yj -125 mm. B Vc = (Vc)xi + (Vc)yj 125 mm determine (a) the angular velocity of the plane (b) the velocity of point A (c) the velocity of point B (d) the point of the plate with zero velocityarrow_forwardAdvanced Applied Mathematics - Circular Motion 1. When an airplane touches down at 1 = 0, a stationary wheel is subjected to a constant angu- lar acceleration a = 110 rad/s until / = 1 s. (a) What is the wheel's angular velocity at t = 1 s? (b) At 1 = 0, the angle 0 = 0. Determine 9 in radians and in revolutions at / = 1 s. 2. A small box B of mass mkg is placed on a rough horizontal rotating disc. B is metres from the centre of rotation as shown in Fig. 1 below. The coefficient of friction between the disc and B is u. Find, in terms of u, r and g, the maximum speed v that can be given to B without it slipping. 3. One end of a light inextensible string of length L metres is attached to a fixed point C. A small brass hall Roarrow_forwardPlease help me answer this question. Thank you very much.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