Problem 1: Knowing that bar AB rotates with a constant angular velocity o ▶ 11 rad/s counter clockwise, calculate the angular velocity and acceleration of CD. E B от C 8m 4m Angular velocity of CD: Angular acceleration of CD: krad/s krad/s^2
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- 3) Link AB of a robotic arm is rotating at a constant speed of 4 rad/s, while link BC is rotating at 5 rad/s, a speed that is increasing at the rate of 2 rad/s². Find the magnitudes of the velocity and acceleration of point C when AB is vertical and BC is horizontal, as shown here. 2.0 ft 1.5 ft B WAB A WBC = 5 rad/s αBC = 2 rad/s² = 4 rad/s C4. The angular velocity of a rotating disk with a radius of 4 m decreases from 6 rads per second to 3 rads per second in 2 seconds. What is the linear acceleration of a point on the edge of the disk during this time interval?+ G In the above diagram, the wheel starts from rest and rolls without slipping. The force (you don't need the value) causes a constant angular acceleration of 7.112 rad/s2. The radius of the wheel is R - 0.392 m. What is the magnitude of the acceleration of the point at the top of the wheel at time t 1.400 s? This is the point at the outer edge directly above the center of gravity, Gwhere the force F connects to the wheel. Use units of m/s. Don't place units in your answer, 3 o
- 5. For the following pin-collected link assembly, link AO is pinned at point O, and moves with angular velocity W and angular acceleration a (both counterclockwise). 6) if W = 3.2 rad/s and a = 6.2 rad/s², length | = 1.6 m, and angle = 33°, what is the angular acceleration of link AB in rad/s2? Please pay attention: the numbers may change since they are randomized. Negative must be included if it is clockwise. Your answer must include 2 places after the decimal point. B Your Answer: 8 Answer A 0.5 m ω, αQ2/ In the mechanism shown in Fig. below the crank AOB rotates uniformly at 200 rev/min, in clockwise direction, about the fixed centre O. Find the velocity and acceleration of slider F. 200 rev/min DAF www Oby 315mm- 135mm 120mm 540mm 450mm 480mm- w F TIM 225mm 225mm5. For the following pin-collected link assembly, link AO is pinned at point O, and moves with angular velocity w and angular acceleration a (both counterclockwise). 6) if W = 5.3 rad/s and Q = 7.0 rad/s?, length I = 1.8 m, and angle 0= 36°, what is the angular acceleration of link AB in rad/s?? Please pay attention: the numbers may change since they are randomized. Negative must be included if it is clockwise. Your answer must include 2 places after the decimal point. 0.5 m O, a
- A ball bearing is moving radially outward in a slotted horizontal disk that is rotating about the vertical z axis. At the instant shown in figure below, the ball bearing is 3.6 in from the center of the disk. It is traveling radially outward at a velocity of 4.4 in/sec relative to the disk and has a radial acceleration with respect to the disk of 5.3 in/sec? outward. What does the magnitude of 0 (in rad/s2) have to be for the ball bearing to have a total acceleration of zero? Figure is from "Engineering Mechanic An Introduction to Dynamics", McGill and King.A ball bearing is moving radially outward in a slotted horizontal disk that is rotating about the vertical z axis. At the instant shown in figure below, the ball bearing is 2.5 in from the center of the disk. It is traveling radially outward at a velocity of 3.9 in/sec relative to the disk and has a radial acceleration with respect to the disk of 5.9 in/sec? outward. What does the magnitude of 0 (in rad/s) have to be for the ball bearing to have a total acceleration of zero? Figure is from "Engineering Mechanic An Introduction to Dynamics", McGill and King.The power of an engine running at 125 rpm is turned off and the engine comes to rest at the end of 2 min and 40 sec. Assuming that there is no slipping between the belt and pulley surface and that the deceleration is uniform, find 1) the average speed in radians per second of the engine pulley in coming to rest; 2) the total angular distance traveled in revolutions, radians and degrees in coming to rest; 3) the distance in feet traveled by a belt running on the pulley in coming to rest, if the pulley diameter is 3ft.
- The following diagram shows a piston moving in a cylinder with rod AB. Point B is rotating clockwise with an angular velocity of w. cylinder piston A connecting rod crank bearing B ResearchGate The motion of B is given by the equation r = C cos(wt) + Dsin(wt) Were r is the horizontal +vertical distance of B from O, and C, D are constants. For C=D=42mm and w = 20 rad/s. (i) Write r in the form Rcos (wt ± ß) and state the amplitude and period of r. (ii) Sketch one complete cycle of r. (iii) Explore the differences between the derived form and drawn formA pulley rotates about fixed axis. The relation between the angular displacement and time is © = 1,9 + 1). Find the following: 1. angular displacement, angular velocity and angular acceleration at =35 2. the time when the pulley rotate one revolution with constant angular acceleration (48°5)For the problem related to Fundamental.4, a sketch of the considered system showing and naming (or numbering) every part of the system considered, the respective velocity and acceleration of each, and the frame of reference considered is mandatory. Its absence will automatically make the problem false. At the instant observed below 0 =14°, 4°. Z A 3 ft WAB 2 ft C B What must be the angular velocity of the link AB, WAB in rad.s¹ if the linear velocity of C is 7 ft.s¹ -1 --1