PEARSON ETEXT ENGINEERING MECH & STATS
15th Edition
ISBN: 9780137514724
Author: HIBBELER
Publisher: PEARSON
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Students have asked these similar questions
At the instant represented, the velocity of point A of the 1.89-m bar is 3.6 m/s to the right. Determine the speed VB of
point B and the magnitude of the angular velocity w of the bar. The diameter of the small end wheels may be neglected.
0.46 m-
67
B
1.89 m
Answers:
m/s
VB
rad/s
The ring of a diameter 1.2 m is pinned to the cart, as shown. At the instant shown, the cart has
a velocity v to the right which is increasing at 1.6 m/s per second, and the ring has a clockwise
angular velocity w = - 3.2 rad/s which is decreasing at 1.6 rad/s per second, and 0 = 35°. Calculate
the magnitude of the accelerations of points B and C on the ring for this instant. (að = 11.82 m/s²,
ас 10.55 m/s²)
=
v, a
A
Ꮎ
ω
C
B
=
The quarter-circular link AB with small rollers at two ends has a radius of 0.8 m (that is, it is part
of a circle of radius 0.8 m). At the instant shown, roller A has a speed va 2 m/s to the right and
roller B moves along the incline of angle 0 = 70° with the horizontal. Calculate the angular velocity
of the link and the speed of point B on the link for this instant. (w = 1.83 rad/s CCW, vB
m/s)
=
1.56
B
45°
VA
Ꮎ
A
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- only HANDWRITTEN answer needed ( NOT TYPED)arrow_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_forward2. The angular velocity of the drum is increased uniformly from 6 rad/s when t = 0 to 10 rad/s when t = 4 s. Find the magnitudes of the velocity and acceleration of points A and B on the belt the instant when t = 3 s. 4 in.arrow_forward
- 10arrow_forwardBar 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_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_forward
- At the instant shown rod AB has an angular velocity ?AB=4 rad/sand an angular acceleration ?AB=2 rad/s2 1. Determine the angular velocity of rod CD at this instant. The collar at C is pin connected to CD and slides freely along AB. Assume the counterclockwise rotation as positive. 2. Determine the angular acceleration of rod CD at this instant.arrow_forwardAt 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 constantarrow_forwardAt the instant shown, 0 = 60°, and rod AB is subjected to a deceleration of 16 m/s when the velocity is 10 m/s. Determine the location of the instantaneous center of zero velocity of link BC and use it to find the angular velocity of links BC and CD at that instant. v = 10 m/s a = 16 m/s? 300 mm 300 mmarrow_forward
- Hello can you please show me how to do this useing relative motion analysis. I don't think I'm doing the steps totally correct. Thank you in advance.arrow_forwardAt the instant shown, the AB bar has an angular velocity of 4 rad/s and an angular acceleration of 2 rad/s2. Determine the angular velocity and angular acceleration of the CD bar at this instant. The C-ring is pin-to-CD connected and glides freely along AB. WAB = 4 rad/s CAB = 2 rad/s? A 60° -0.5 m- 0.75 m D Barrow_forwardAn external drive system actuates the mechanism by applying a moment M at bearing D. At the instant 0 = 45°, the magnitude of the velocity vector of point C is 14 m upward and to the left and the angular acceleration of link CD is 50 rad in the CCW direction. Determine the y-component of the acceleration vector of point G in m at this instant. Consider L = 6 metres. E y +. Marrow_forward
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