PEARSON ETEXT ENGINEERING MECH & STATS
15th Edition
ISBN: 9780137514724
Author: HIBBELER
Publisher: PEARSON
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Chapter 20, Problem 30P
To determine
The velocity of collar
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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
The disk turns clockwise with the constant angular speed of 11.6 rad/s about the fixed pin support at O, and the connecting rod AB slides through the collar C which is free to rotate about the pivoting point. For the position at ⍬ =90°, determine the angular speed ⍵AB of AB. Take r as 0.6 m.
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.
Chapter 20 Solutions
PEARSON ETEXT ENGINEERING MECH & STATS
Ch. 20 - The propeller of an airplane is rotating at a...Ch. 20 - The disk rotates about the z axis at a constant...Ch. 20 - The ladder of the fire truck rotates around the z...Ch. 20 - The ladder of the fire truck rotates around the z...Ch. 20 - At a given instant, the antenna has an angular...Ch. 20 - The disk rotates about the shaft S, while the...Ch. 20 - The electric fan is mounted on a swivel support...Ch. 20 - The electric fan is mounted on a swivel support...Ch. 20 - The truncated double cone rotates about the z axis...Ch. 20 - Prob. 20P
Ch. 20 - Gear B is driven by a motor mounted on turntable...Ch. 20 - Prob. 22PCh. 20 - Prob. 23PCh. 20 - Prob. 26PCh. 20 - Prob. 27PCh. 20 - Prob. 30PCh. 20 - So1ve Example 20.5 such that the x, y, z axes move...Ch. 20 - Prob. 38PCh. 20 - At the instant = 60, the telescopic boom AB of...Ch. 20 - Prob. 40PCh. 20 - Prob. 42PCh. 20 - Prob. 43PCh. 20 - Prob. 44PCh. 20 - Prob. 46PCh. 20 - Prob. 47PCh. 20 - Prob. 48PCh. 20 - Prob. 49PCh. 20 - Prob. 50PCh. 20 - Prob. 51P
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- The 2-m-long bar is confined to move in the horizontal and vertical slots A and B. If the velocity of the slider block at A is 6 m/s to the right, determine the bar's angular velocity and the velocity of block B at the instant theta= 60°.arrow_forwardAt the instant shown, an overhead garage door is being shut with point B moving to the left within the horizontal part of the door guide at a speed of 6.5 ft/s, while point A is moving vertically downward. Determine the angular velocity of the door and the velocity of the counterweight C at this instant if L = 6 ft and d = 1.5 ft. 88 floor B The angular velocity of the door is The velocity of the counterweight Cis k rad/s. j ft/s.arrow_forwardThe wheel (radius 313 mm) rolls without slipping down the inclined plane that makes an angle of y = 15° with the horizontal. The axle at the centre of the wheel travels at 22km/h. Determine the speed of point A on the outer rim of the wheel. The line construction BC passes through the wheel axle and ⍬ = 33°.arrow_forward
- At the instant shown, link CD rotates with an angular velocity of W = 7.5 rad/s. If it is subjected to a couple moment M = 300 N·m, determine the magnitude of the angular acceleration (rad/s²) of link CD. The block has a mass of 50 kg and center of mass at G. Neglect the mass of links AB and CD. (Hint, since the mass of link AB or CD is negligible, the external force or moment acting on it sums up to O.) Please pay attention: the numbers may change since they are randomized. Your answer must include 2 places after the decimal point, and proper unit. Take g = 9.81 m/s². 0.1 m 0.4 m 0.4 m G Your Answer: Answer B 0.6 m ω A M Carrow_forward3. The two sliders at B move freely on OA and the curved rail and are pin connected so they move together as one. The curved rail is described by the equation r = 200 (2- cos ) mm. If the speed of the collar is 400 mm/s when = 160°, what is the angular velocity 0 of the rod OA at this instant? ė A r 600 mm 6 rad/s 0. 400 mm 200 mmarrow_forwardAt the instant shown, link CD rotates with an angular velocity of W = 7.5 rad/s. If it is subjected to a couple moment M = 560 N-m, determine the magnitude of the angular acceleration (rad/s2) of link CD. The block has a mass of 50 kg and center of mass at G. Neglect the mass of links AB and CD. (Hint, since the mass of link AB or CD is negligible, the external force or moment acting on it sums up to 0.) Please pay attention: the numbers may change since they are randomized. Your answer must include 2 places after the decimal point, and proper unit. Take g = 9.81 m/s2. 0.1 m 0.6 m В A 0.4 m G 0.4 m C M Your Answer: Answer 3arrow_forward
- As end A of the slender bar is pulled to the right with constant velocity v = 13 m/s, the bar slides on the surface of the fixed half- cylinder with radius r = 5 m. Determine the angular velocity of the bar dƏ/dt in rad/s at x = 6m. В A Uarrow_forwardIf collar B is moving downwards at vg = 2.3 m/s, determine the angular speed of the gear which is pin connected to the fixed point at O and free to rotate. The radius of the gear is r=0.3 m and the length of link AB is indicated on the figure. Hìnt: Consider using the IC method. !i!arrow_forwardThe mechanism for a car window winder is shown in the figure. Here the handle turns the small cog C, which rotates the spur gear S, thereby rotating the fixed-connected lever AB which raises track D in which the window rests. The window is free to slide on the track. If the handle is wound at 0.5 rad/s, determine the speed of points A and E and the speed of the window at the instant e = 30° D 20 mm 0.5 rad/s 50 mm -200 mm -200 mm O A=E=W=34.6 mm/s A=E=40 mm/s, W=34.6 mm/s O A=E=34.6 mm/s, W=40 mm/s O A=E=34.6 mm/s, W=34.6 mm/sarrow_forward
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