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The disk shown moves in the xy plane. Knowing that
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Vector Mechanics For Engineers
- The system shown is composed of equal-length bars (L=0.20m). At the instant shown, the velocity of the midpoint of bar DC is 2m/s directed to the right. A. Identify the type of motion of each bar. B. Determine the angular velocities of each bar.arrow_forwardIn a four-link mechanism, the dimensions of the links are given as AB=50mm, BC=66mm, CD=56mm, and AD=100mm. At the instant when <DAB = 60° , the link AB has an angular velocity of 10.5 rad/sec in the counterclockwise direction. Both A and D lies in the horizontal plane.For the given configuration of the mechanism, determine the following: angular velocity of the link CD, angular velocity of the link BC, velocity of an offset point G on the link CD if CG=24mm,DG=44mm Instructions: configuration diagram Scale: 1:1 velocity diagram. Scale: 1m/s : 95mmarrow_forwardA painter is half way up a 10-m ladder when the bottom starts sliding out from under him. Knowing that point A has a velocity vA = 2 m/s directed to the left when 0= 60°, determine (a) the angular velocity of the ladder, (b) the velocity of the painter.arrow_forward
- A juggling club is thrown vertically into the air. The center of gravity G of the 20-in. club is located 12 in. from the knob. Knowing that at the instant shown, G has a velocity of 4 ft/s upward and the club has an angular velocity of 30 rad/s counterclockwise, determine (a) the speeds of points A and B, (b) the location of the instantaneous center of rotation.arrow_forwardKnowing that at the instant shown the angular velocity of rod DE is 15 rad/s clockwise, write down the equation of velocity of point D relative to point E.arrow_forwardKnowing that at the instant shown the angular velocity of rod DE is 15 rad/s clockwise, write down the equation of velocity of point D relative to point B.arrow_forward
- In order to uncoil electrical wire from a spool fixed to a truck, a worker drives to the left with a speed of vA = 4 m/s. At the same time, a second worker holds the cable as he walks to the right. Knowing that at the instant shown the thickness of wire on the spool is 50 mm and that the 0.6-m-radius spool has an angular velocity of 8 rad/s, determine (a) the instantaneous center of rotation of the spool, (b) the velocity of point D on the spool, (c) the speed of the second worker B.arrow_forwardIn the simplified sketch of a ball bearing shown, the diameter of the inner race A is 60 mm and the diameter of each ball is 12 mm. The outer race B is stationary, while the inner race has an angular velocity of 3600 rpm. Determine (a) the speed of the center of each ball, (b) the angular velocity of each ball, (c) the number of times per minute each ball describes a complete circle.arrow_forwardKnowing that at the instant shown the angular velocity of rod DEis 2.4 rad/s clockwise, determine (a) the velocity of collar A, (b) the velocity of point B.arrow_forward
- A circular plate of 120 mm radius is supported by two bearings A and B as shown. The plate rotates about the rod joining A and B with a constant angular velocity of 26 rad/s. Knowing that, at the instant considered, the velocity of Point C is directed to the right, determine the velocity and acceleration of Point E.arrow_forwardA 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_forwardDisc A rotates at 500 rpm in a counterclockwise direction. When θ = 45 ° and rod BD is 9 inches long, determine the angular velocity of rod BD, the velocity of collar D, and the velocity of the midpoint of rod BD.arrow_forward
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