The 5 meter long beam AE is being lowered by means of two overheard cables. At the instant shown, it is known that the velocity of point D I 1 m/s downward and the velocity of point E is 1.5 m/s downward. A B DE -1.5 m 1.5m- -2 m -1.5 m 1.5m Determine: (a) the instantaneous center of rotation of the beam (b) the velocity of point A. ANS. A) X = 4.5 m B) VA = 0.1657 m/s с x-1.5 X 日
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- b) The piston rod BD produces an upward motion at a constant velocity of v = 0.75 m/s as shown in Figure Qib. As a result, the roller A moves in the horizontal slot while the collar at C translates along the vertical shaft. Given that the lengths of AB and BC are 40 cm and 60 cm, respectively, determine at the instant when e = 45°: (i) the angular velocity of the bent arm ABC. (ii) the velocity of the roller A, and (ii) the velocity of the collar C. Y в A Figure Q1b c) Evaluate the angular velocity of the bent arm ABC and the velocity of the collar C in Figure Q1b if the velocity of piston was increased. Justify your answer by means of equation(s) in Q1b. B (O2) At the instant given, it is known that the angular velocity of rod AB is 20 rad/s clockwise. By use of Cartesian vector form, determine (a) the angular velocity of rod BD, (b) the velocity of the point D. 0.2 m 0.25 m D 0.2 m E -0.6 m BThe piston rod of the hydraulic cylinder gives point Ba velocity vg = 2.24 m/s as shown. By the method of this article determine the magnitude vc of the velocity of point C when 0 = 156º. The distance b = 225 mm. %3D B UB b A
- B A ladder of length 17-ft that forms and angle of 50° with the horizontal. The point A on the ground, at this moment, has a velocity of 1 ft/s and an acceleration of 3 ft/s?. Determine the acceleration of the point B on contact with the wall.Bar AB is pinned to the fixed support at A, and the collar B is pinned to the bar at its opposite end. The bar CD can slide freely through the collar at B. At the instant shown, bar AB is horizontal, /= 1.2 m, s = 1.07 m, 0 = 60°, and wAB= 40 rad/s. If ªäß = 21 rad/s² at the instant shown, determine the angular velocity and angular acceleration of the bar CD. WAB αAB с. B The angular velocity of the bar CD is The angular acceleration of the bar CD is k rad/s. k rad/s².A A ladder of length 16-ft that forms and angle of 50° with the horizontal. The point A on the ground, at this moment, has a velocity of 4 ft/s and an acceleration of 5 ft/s?. Determine the acceleration of the point B on contact with the wall.
- At the instant shown, the arm OA of the conveyor belt is rotating about the z axis with a constant angular velocity w₁ 62 rad/s, while at the same instant the arm is rotating upward at a constant rate w₂=3.9 rad/s (Figure 1) Figure 68 0-450 1 of 1 > Part A If the conveyor is running at a constant rate r = 5 ft/s, determine the velocity of the package P at the instant shown. Neglect the size of the package. Enter the z, y, and a components of the velocity in feet per second to three significant figures separated by commas. Submit Part B vec 175) ΑΣΦ. Η Submit vec Bequest Answer 15. ΑΣΦ It Provide Feedback Determine the acceleration of the package P at the instant shown Enter the x, y, and a components of the acceleration in feet per second squared to three significant figures separated by commas. 540 Request Answer DRC) ? ft/s C ft/s² Next >The piston rod of the hydraulic cylinder gives point Ba velocity vg = 2.24 m/s as shown. By the method of this article determine the magnitude vc of the velocity of point C when 0 = 156°. The distance b = 225 mm. B bThe piston of the hydraulic cylinder gives pin A a constant velocity v = 2.4 ft/sec in the direction shown for an interval of its motion. For the instant when 0 = 59°, determine i, ř, 0, and Ö where r = OA. A. 5.3" Answers: ft/sec ft/sec? rad/sec = rad/sec2
- The conveyor belt is moving to the right at v = 12 ft/s, and at the same instant the cylinder is rolling counterclockwise at w = 7 rad/s while its center has a velocity of 4 ft/s to the left. (Figure 1) Figure -X B 1 ft A 1 of 1 Part A Determine the x and y components of the velocity of the point A on the disk at this instant. Express your answers using three significant figures separated by a comma. 17 ΑΣΦvec (VA) T. (VA)y= Submit Part B Request Answer (UB). (UB)y= Submit Determine the x and y components of the velocity of the point B on the disk at this instant. Express your answers using three significant figures separated by a comma. IVE ΑΣΦ | 11 Request Answer ? vec ft/s ? ft/sAt the instant shown, rod CD has a constant clockwise angular velocity wCD- The collar at Cis pin connected to CD and slides freely along AB. If the velocity of point Care 7c = 1.2j mis, the relative velocity of C to A in the rotating coordinates (TA) (C A0.866 0.500m/s. and the position vector FCIA= 0.76(0.866 0.500 5)m. determine the value of constant Kin the relation Yro = K(wAB). where wAB is the angular velocity of link AB. sign sensitive) co constant जं.5. The slider P can be moved inward by means of the string S, while the slotted arm rotates about point O. The angular position of the arm is given 12 where e is in radians and t is in 20 by 0 = 0.81 - %3D seconds. The slider is at r 1.6 m when t = 0 and thereafter is drawn inward at the constant rate of 0.2 m/s. Determine the magnitude and direction (expressed by the angle relative to the positive x- axis) of the velocity and acceleration of the slider when t= 4 s. %3D Ans. 0.377 m/s, 259.5°; 0.272 m/s, 19.4° y 1. S