PEARSON ETEXT ENGINEERING MECH & STATS
15th Edition
ISBN: 9780137514724
Author: HIBBELER
Publisher: PEARSON
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At the instant shown, rod CD has a constant clockwise angular velocity WCD-
The collar at C is pin connected to CD and slides freely along AB.
If the velocity of point Care
7c = 1.3 m/s,
the relative velocity of C to A in the rotating coordinates (C/A)zy = (VC/A)zy (0.8667 -0.500) m/s,
and the position vector
C/A=0.73(0.8667-0.5007) m,
-(0.73) (0.500)
knowing that (vC/A)zy
WAB
0.866
determine the angular velocity of link AB, WAB. [rad/s] (sign sensitive)
12
b
W CD
constant
3. Slider C moves downward at 4 ft/s. Find the angular
velocity of links BC and AB, as well as the speed of point
В.
3 ft
"=4 t/s
2 ft
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.
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- 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.arrow_forwardQuestion 6 to this answer. At the instant shown, the bar AB has a velocity of 4.8 rad/s clockwise. If a = 0.22 m, b = 0.33 m,0 = 24°, and a = 52° at this instant. Determine the magnitude of the velocity in m/s of roller C. A 0 α Aarrow_forwardI need an answer in a short timearrow_forward
- Rotation of bar OA is controlled by the lead screw which imparts a horizontal velocity v to collar C and causes pin P to travel along the smooth slot. Determine the values of r and 6, where r = OP, if h = 160 mm, x = 120 mm, and v = 25 mm/s at the instant represented. h Carrow_forwardB A ladder of length 17-ft that forms and angle of 50° with the horizontal. The point A on the ground, at this moment, has a velocity of 1 ft/s and an acceleration of 3 ft/s?. Determine the acceleration of the point B on contact with the wall.arrow_forwardAn external drive system actuates the mechanism by applying a moment M at bearing D. At the instant 0 = 30°, the velocity of point C is 14 m (upward to the left) and the angular acceleration of link CD is 45 rad in the CCW direction. Determine the x-component of the velocity vector of point G in m at this instant. Consider L 4 metres. E B y M.arrow_forward
- An external drive system actuates the mechanism by applying a moment M at bearing D. At the instant 0 = 55°, the magnitude of the velocity vector of point C is 19 m and the angular acceleration of link CD is 30 rad in the CCW direction. Determine the angular velocity vector of link CE (in L = 2 metres. rad :) at this instant. Consider E y +. • Charrow_forwardParvinbhaiarrow_forwardProblem 1 If the block at C is moving downward at 4 ft/s, determine the angular velocity of bar AB at the instant shown. @AB 2 ft 3 ft 30° C vc = 4 ft/sarrow_forward
- Rotation of bar OA is controlled by the lead screw which imparts a horizontal velocity v = 39 mm/s to collar C and causes pin P to travel along 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 and 0, where r = OP, if h=155 mm and x = 115 mm. h Answers: Ÿ= 2.086 i .059 x C mm/s2 rad/s2 Aarrow_forwardEnd 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/secarrow_forwardFind the first Va/b as vectors while the second of Va/b is the velocityarrow_forward
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