Chapter 16, Problem 51P

The body is formed of slender rod and rotates about a fixed axis through point O. At time t = 0, the body is in the orientation 0 = 0 and has an angular velocity wo = 0.3 rad/s and a constant angular acceleration a = 0.8 rad/s². Determine the vectors of velocity and acceleration of point A at t = 1 s. Use d = 2r = 0.8 m. (√₁ = 0.106î + 1.240ŷ m/s, da -1.289 + 1.019ĵ m/s²) ω, α y = d x A

Pravinbhai

(Use relative motion analysis): The ends of the bar AB are confined to the circular slot. Determine the angular velocity w and the angular acceleration a of the bar if the end A is moving with constant speed of 0.3 m/s. B 0.8 m 45° 0 0.3 m/s OA

The disks roll on the plane surface without slippage. The left disk rotates at 2 rad/s in the clockwise direction. Determine the angular velocity of the bar. Enter an answer in radians per second up to the second decimal place. Note that the counterclockwise direction is the positive rotation. 2 rad/s 3 ft 1 ft 1 ft

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

In the mechanism illustrated below, the disk rolls without slip at constant angular velocity w = 10 rad/s in the indicated direction. R = 0.5ft. use the VECTOR method to determine the angular velocity of link AB and velocity of slider 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

End A of the 3.6-ft link has a velocity of 3.7 ft sec in the direction shown. At the same instant, end B has a velocity whose magnitude is 4.4 ft/sec as indicated. Find the angular velocity w of the link in two ways. The angular velocity of the link is positive if counterclockwise, negative if clockwise. A VA = 3.7 ft/sec 40° Answer: w= 3.6' B B VB = 4.4 ft/sec rad/sec

2. The square plate is constrained with the slots at A and B. At the instant when 0= 30°, point B is moving at 5 m/s down. At this 0.3 m instant, tell me the angular velocity of the plate. What is the velocity of point D? What is the velocity of point C? 03 m 0= 30