= The telephone-cable reel of inner and outer diameters d = 0.5 m and D = 1.5 m rolls without slipping on the horizontal surface. If point A on the cable has a constant velocity VA 1.2 m/s, calculate the magnitude and direction of the angular velocity of the reel, the velocity of point O, and the velocity of point A relative to point O, i.e., JA/O, for the cases (a) and (b). If at the instant shown the horizontal distance between O and A is s = 2 m, determine that distance after one second. (w = 2.4 1.4 m, w = 1.2 rad/s, vo 0.31 m/s, 0.9 m/s, A/O rad/s, vo 1.8 m/s, A/O = −0.6î m/s, s = s = 2.3 m) = = = y x d D (a) S VA A хох (b) S VA A

The telephone-cable reel rolls without slipping on the horizontal surface. If point A on the cable has a velocity VÀ = 0.84 m/s to the right, compute the velocity of the center O (positive if to the right, negative if to the left) and the angular velocity w (positive if counterclockwise, negative if clockwise) of the reel. Answers: Vo = W = 1.91 m 4 0.69 m 1.315 i 1.376 Ho m/s VA rad/s

The telephone-cable reel rolls without slipping on the horizontal surface. If point A on the cable has a velocity VA = 0.70 m/s to the right, compute the velocity of the center O (positive if to the right, negative if to the left) and the angular velocity w (positive if counterclockwise, negative if clockwise) of the reel. 1.72 m A Answers: Vo = W= 0.60 m 1.075 i 1.25 m/s rad/s

As shown in the figure, the right-angled bar OAB rotates uniformly around the O-axis, and the angular velocity is w. AB is fitted with a small ring M, which is also fitted with a large fixed ring. At the moment shown in the figure,OMO1 is on the same horizontal line, the radius of the big ring is known as R,001=3R, and Please calculate the speed and acceleration of the instantaneous small ring 30 M B 9 R