In order to uncoil electrical wire from a 0.6-m-radius spool fixed to a truck, a worker drives to the left with a speed of vA = 5 m/s. At the same time, a second worker holds the cable as he walks to the right with a speed of vB = 3 m/s. Knowing that at the instant shown the thickness of wire on the spool is 40 mm, determine (a) the instantaneous center of rotation of the spool, (b) the velocity of point D on the inside of the spool.

Manufactured items are spray-painted as they pass through the automated work station shown. Knowing that the bent pipe ACE rotates at the constant rate ω1 = 0.4 rad/s and that at point D the paint moves through the pipe at a constant relative speed u = 150 mm/s, determine, for the position shown, (a) the velocity of the paint at D, (b) the acceleration of the paint at D.

1. At an intersection car A was traveling south and car B was traveling 35° north of east when they slammed into each other. Upon investigation it was found that after the crash the two cars got stuck and skidded off at an angle of 15° north of east. Each driver claimed that he was going at the speed limit of 60 km/h and that he tried to slow down but couldn't avoid the crash because the other driver was going a lot faster. Knowing that the masses of cars A and B were 1000 kg and 1200 kg, respectively, determine (a) which car was going faster, (b) the speed of the faster of the two cars if the slower car was traveling at the speed limit. شکایت VB N 135⁰ B A V 15°

2 A plastic film moves over two drums. During a 4-s interval the speed of the tape is increased uniformly from vo = 2 ft's to vị = 4 ft/s. Knowing that the tape does not slip on the drums, determine (a) the angular acceleration of drum B, (b) the number of revolutions executed by drum B during the 4-s interval. Vo 9 in. B 15 in.

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2/99 An object which is released from rest from the top A of a tower of height h will appear not to fall straight down due to the effect of the earth's rotation. It may be shown that the object has an eastward horizontal acceleration relative to the horizontal surface of the earth equal to 2v,w cos y, where v, is the free-fall downward velocity, w is the angular velocity of the earth, and y is the latitude, north or south. Deter- mine the deflection b if h = 1000 ft and y = 30° north. From Table D/3, w = 0.7292(10 4) rad/sec and from Fig. 1/1, g = 32.13 ft/sec?. Ans. b 3.99 in. A h East