12-193. The slotted arm OA rotates counterclockwise about O with a constant angular velocity of . The motion of pin B is constrained such that it moves on the fixed circular surface and along the slot in OA. Determine the magnitudes of the velocity and acceleration of pin B as a function of u. r = 2 a cos 0 0 B A

P16-3. Set up the relative acceleration equation between points A and B.The angular velocity is given. w = 2.12 rads 45 2 m 3 m/a 2 m/s

The center O of the disk has the velocity and acceleration shown in the figure. If the disk rolls without slipping on the horizontal surface, determine the velocity of A and the acceleration of B for the instant represented. Assume a = 5.0 m/s², v = 3.0 m/s, b = 0.2 m, 0 = 45% a Answers: A VA= (i ag= (i b B b V i+i ¡+ i L--x j) m/s j) m/s²

The disk rolls without slipping on the horizontal surface. If the disk has a clockwise angular velocity of wo 18 rad/s and a counterclockwise angular acceleration of 6.5 rad/s2 determine the velocity and acceleration of pin A relative to the slotted member BC and the angular velocity and angular acceleration of BC. The value of r is 235 mm. Neglect the distance from the center of pin A to the edge of the disk. The relative velocity and acceleration are positive if they point from B to Cand negative if they point from C to B. The angular velocity and acceleration are positive if counterclockwise and negative if clockwise. 59 Om 3.0 r Answers: m/s i Vrel m/s2 arel rad/s Швс rad/s2 авс Il

The hoop is cast on the rough surface such that it has an angular velocity w = 3 rad/s and an angular acceleration a = 5 rad/s2. Also, its center has a velocity of vo = 5 m/s and a deceleration ao = 2 m/s2. Determine the magnitude of the acceleration of point B and its direction angle measured CCW from the x positive axis. L. AY ao vo 45° 0.3 m Select one: O A. aB = 9.29 m/s2; and 0 = 151.34° O B. aB 6.86 m/s; and 0 = 160.12° O C. aB = 5.04 m/s2: and0= 170.31° OD. ap = 7.81 m/s2; and 0= 162.62° 1:08 PM O 4)) G ENG 4/17/2021

ATICS OF A RIGID BODY 4 rad/s as 32.2 ft/s². the rim of 16-106. At a given instant, the cables supporting the pipe I have the motions shown. Determine the angular velocity and angular acceleration of the pipe, and the velocity and acceleration of point B located on the pipe. v = 5 ft/s a = 1.5 ft/s² B 4⁰ 2 ft Prob. 16-106 v = 6 ft/s a = 2 ft/s² A ben to