= = The disk of radius R 2.3 ft rolls without slipping on the horizontal surface, and at the instant represented, the center O has a constant velocity vo 5.6 ft/sec. For this instant, the particle A moving along the circular slot of mean radius r = 2 ft has the indicated speed u = 4 ft/sec relative to the disk which is decreasing at a rate of 4.2 ft/sec per second. Determine the magnitudes of the absolute velocity and acceleration of particle A. (v₁ = 10.5 ft/sec, aд = 39.6 ft/sec²) R r и νο

The boom OAB pivots about point O, while section AB simultaneously extends from within section OA. Determine the velocity and acceleration of the center B of the pulley for the following conditions: 0 = 30°, 0 = 7 deg/sec, 0 = 8 deg/sec², 1 = 7 ft, 1 = 2.2 ft/sec, Ï = -2.3 ft/sec². The quantities and I are the first and second time derivatives, respectively, of the length / of section AB. Express your answers as vectors in the e, and en directions. 0 Answers: VB = ав = (i 26' 8 A O er + er + B eo) ft/sec eo) ft/sec²

3.0 m/s relative to the bar as shown. The distances are L = 2.97 m and d 0.82 m The small collar A is sliding on the bent bar with speed Simultaneously, the bar is rotating with angular velocity w 1.34 rad/s about the fixed pivot B. Take the x-y axes to be fixed to the bar and determine the Coriolis acceleration acor of the slider for the instant represented. Interpret your result. BC Answer: acor =( | i ii j) m/s2

If the compact disc is spinning at a constant angular rate θ˙ = 445 rev/min, determine the magnitudes of the accelerations of points A and B at the instant shown. Determine the magnitudes of the velocities of points A and B.

= The disk has a circular slot with the radius equal to 200 mm, and it is in a pure rotation about O with a constant angular velocity, 15 rad/sec in the direction shown. When the slider A passes the center of the disk O, it has ė = 14 rad/sec and 6 = 0 relative to the disk, in terms of measured in the clockwise direction as shown in the figure. Calculate the magnitude of the acceleration of the slider A when it passes O, by using the body-fixed coordinate system given in the figure. Present your answer in m/sec² using 3 significant figures. A 0. 200 mm-

The pinball machine paddle, P, pushes the pinball which weighs 0.7 N along the slot shown. This image is a top view and all of the motion takes place in the horizontal plane. The paddle rotates about fixed point do rad with a constant angular velocity of t 1.1. and the distance d = 93mm, 0 d. --r At the instant shown, 0-34° and = 37° P b. what is the acceleration of the pinball in the radial direction ? = c. What is the acceleration of the pinball in the transverse direction?a= d. What is the magnitude of the normal force of the slot on the pinball? N = e. What is the magnitude of the force of the paddle on the pinball? F₂= 772

Rotation of bar OA is controlled by the lead screw which imparts a horizontal velocity v = 31 mm/s to collar C and causes pin P to travel along with the smooth slot. The velocity of collar C is decreasing at a rate of 5 mm/s2 at the instant in question. Determine the values of r¨ and θ¨, where r = OP, if h = 245 mm and x = 185 mm.

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.

4. As shown in the image below, the bucket of the backhoe traces the path of the cardioid r = C · (1 – cos 0) ft, where constant C= 28. At this instant angle 0 - = 121°, and the boom is rotating with an angular velocity of 0 = 2.3 rad/s and an angular acceleration of 0 = 0.19 rad/s?. Determine the magnitude of the acceleration of the bucket in rad/s². Please pay attention: the numbers may change since they are randomized. Your answer must include 1 place after the decimal point. Your Answer: Answer

The answer to the problem is 58.7 ft/s^2. Please show me how to get the final answer