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.Rod CD is rotating with an angular velocity wCD = 3.2 rad/s 30 0.4 m Im 0.5 m CD D Part A Determine the angular velocity of the rod AB at the instant shown, measured clockwise. Express your answer using three significant figures. Enter positive value if the angular velocity is clockwise and negative value if the angular velocity counterclockwise. ANSWER: WAB = rad/s Part B Determine the angular velocity of the rod CB at the instant shown, measured counterclockwise. Express your answer using three significant figures. Enter positive value if the angular velocity is counterclockwise and negative value if the angular velocity is clockwise. ANSWER: wCR = rad/s