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The bowling ball shown rolls without slipping on the horizontal xz plane with an angular velocity,
Fig. P15.184 and P15. 185
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Vector Mechanics for Engineers: Dynamics
- 5. A. Determine the magnitude of the velocity of the ball when t = 1.4 s B. Determine the magnitude of the acceleration of the ball when t = 1.4sarrow_forwardAt the instant shown, the shaft and plate rotates with an angular velocity of 14 rad/s and angular acceleration of 7 rad/s². (Figure 1) Figure X D 0.4 m B 0.4 m α 0.3 m 0.6 m 0.2 m 0.3 m 1 of 1 Part A Determine the velocity of point D located on the corner of the plate at this instant. Enter the x, y, and z components of the velocity separated by commas. VE ΑΣΦ ↓↑ vec (VD)x, (VD)y, (VD)z: Submit Part B Request Answer Determine the acceleration of point D located on the corner of the plate at this instant. Enter the x, y, and z components of the velocity separated by commas. (ap)x, (aD)y, (ad) z = Submit Provide Feedback Request Answer = VO ΑΣΦ ↓↑ vec ? m/s m/s²arrow_forwardIn Fig. below; rod AB rotates about an axis through A and is connected to block D by a flexible and inextensible cable. Determine the linear velocity of block D when 0 = tan' ( 3/4), and the angular velocity of AB is 2.5 rad/ sec counterclockwise. Fig.2.B 1.5 m 2.5 m Darrow_forward
- 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. Sarrow_forwardProblem 20.51 At the instant shown, the arm OA of the conveyor belt is rotating about the z axis with a constant angular velocity w₁ = 5.8 rad/s, while at the same instant the arm is rotating upward at a constant rate w₂= 3.8 rad/s. (Figure 1) Figure O 2 r = 6 ft 0-45° 1 of 1 Part A If the conveyor is running at a rate r = 5 ft/s, which is increasing at r = 8 ft/s², determine the velocity of the package P at the instant shown. Neglect the size of the package. Enter the x, y, and z components of the velocity in feeet per second to three significant figures separated by commas. vp = Submit Part B ap= IVE ΑΣΦ Submit ↓↑ Request Answer Determine the acceleration of the package P at the instant shown. Enter the x, y, and z components of the acceleration in feet per second squared to three significant figures separated by commas. vec AΣo↓↑vec 5 Request Answer < Return to Assignment ? Provide Feedback ft/s ? ft/s² 8 of 8 Reviewarrow_forwardAt the instant shown in (Figure 1), rod AB has an angular velocity WAB = 2.2 rad/s and an angular acceleration AB = 5 rad/s². The collar at C is pin-connected to CD and slides over AB. Figure 60° @AB αAB 0.75 m D с 0.5 m B < 1 of 1 Part A Determine the angular velocity of rod CD at this instant. Express your answer in radians per second to three significant figures. Enter positive value if the direction of velocity is counterclockwise and negative value if the direction of velocity is clockwise. WCD= Submit Part B aCD = V Π| ΑΣΦ. 11 Submit Request Answer Determine the angular acceleration of rod CD at this instant. Express your answer in radians per second squared to three significant figures. Enter positive value if the direction of acceleration is counterclockwise and negative value if the direction of acceleration is clockwise. G| ΑΣΦ. 41 vec Request Answer vec ? wwwww rad/s ? rad/s²arrow_forward
- NOTE: This is a multi-part question. Once an answer is submitted, you will be unable to return to this part. The bent pipe shown rotates at the constant rate 0-10 rad/s. It is known that a ball bearing D moves in portion BC of t pipe toward end Cat a constant relative speed u=2 ft/s. Z 12 in. 5 in. D 6 in. Determine, at the instant shown, the velocity of D. (You must provide an answer before moving to the next part.) 1.6 ft/s)i + ( 8.5 ft/s )j + ( The velocity of Dis vp=( 8.8 ft/s)k.arrow_forwardonly HANDWRITTEN answer needed ( NOT TYPED)arrow_forwardThe 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/sarrow_forward
- The 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/sec2arrow_forward2. For a short period of time, the motor turns gear A with a constant angular acceleration, starting from rest. The cord is wrapped around pulley D which is rigidly attached to gear B. 2) if the radii are: A = 70 mm, r = 230 mm, and rp = 90 mm, the constant angular acceleration of gear A, AA is 4.4 rad/s², determine the angular acceleration of gear B, CB, in rad/s². Please pay attention: the numbers may change since they are randomized. Your answer must include 2 places after the decimal point. αA A P Your Answer: 1'B Answer -1'p'arrow_forwardQ2. The crane shown rotates at the constant rate w = 0.3 rad/s; simultaneously, the telescoping boom is 1 2 being lowered at the constant rate w = 0.60 rad/s. Knowing that at the instant shown the length of the boom is 20 ft and is increasing at the constant rate u= 1.7 ft/s determine the acceleration of Point B. Z 30° مدل @0₁ JEDIDEDIREroso @0₂ Xarrow_forward
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