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Plate ABD and rod OB are rigidly connected and rotate about the ball-and-socket joint O with an angular velocity
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Vector Mechanics for Engineers: Dynamics
- A drum of radius r1 = 3 in. is mounted on a cylinder of radius r2 = 6 in. A cord is wound around the drum, and its extremity D is pulled to the left with a constant velocity of 6 in./s, causing the cylinder to roll without sliding. Determine: 1. The angular velocity of the cylinder. 2. The velocity of the center of the cylinder A. Select one: A. ω=6 rad/s; and VA = 30 in/s. B. ω=4 rad/s; and VA = 16 in/s. C. ω=5 rad/s; and VA = 25 in/s. D. ω=2 rad/s; and VA = 6 in/s.arrow_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_forwardAsap.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_forwardProblem (7) A slender rod bent into the shape shown 1= 10 cm d= 8 cm rotates about the fixed axis CD at a D h = 5 cm 3 cm constant angular velocity w = 10 rad/s. (a) Determine the velocity va and the acceleration a, of the end A. 4 cm (b)Prove that vĄ and a, are perpendicular.arrow_forwardIn the four-bar mechanism below, link 2 is rotating CCW at the rate of 4 rad/s (constant). In the position shown, link 2 is horizontal and link 4 is vertical. Determine the angular velocity of links 3 and 4. 1.0 in В 2 0.75 in 3 Link lengths: AB = 1.25 in, BC = 2.5 inarrow_forward
- Please donn' provide handwritten solution ....arrow_forwarda= 250 rad/s w = 72 rad/s The crank of the mechanism shown is rotates clockwise with an angular velocity of 72 rad/s and accelerates at a rate of 250 rad/s. Determine the Drive shaft acceleration of the stamping die. -Stamping die -Workpiecearrow_forwardThe disk has a constant angular velocity of 20 rad/s Clockwise. Note that the point A is hinged at a Aixed location. WA = + A de A y de A dt - 20 rad/s D 70mm J a) Determine the two values of the angle & for which the velocity of collar D is zero. b) For each of these values of e, determine the corresponding value of the angular velocity of bar BD. A WA at 2 250mm WA 20 rad/sarrow_forward
- A cylinder rolls without slipping between two moving plates C and D. The radius of the cylinder is r=4.0m. The velocity of the plate C is VC=6.0 m/s to the right. The velocity of the plate D is VD=2.0 m/s to the left. Using the instantaneous center of zero velocity (IC) to determine (3) The magnitude of the angular velocity of the cylinder ω=____________rad/sarrow_forwardBar OA has a counterclockwise angular velocity wo = 4.0 rad/s. Rod BC slides freely through the pivoted collar attached to OA. Determine the angular velocity Wac of rod BC (positive if counterclockwise, negative if clockwise) and the velocity vrel of collar A relative to rod BC (positive if moving from B to C, negative if it moves from C towards B). 290 mm, 45° 59° B Answers: WBC= i rad/s Vrel = i m/sarrow_forwardProblem 16.113 The disk has an angular acceleration a = 7 rad/s² and angular velocity w = 3 rad/s at the instant shown. It does not slip at A. (Figure 1) Figure y x @ α 0.5 m A 45° 45° с Barrow_forward
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