PEARSON ETEXT ENGINEERING MECH & STATS
15th Edition
ISBN: 9780137514724
Author: HIBBELER
Publisher: PEARSON
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Chapter 20, Problem 46P
To determine
The velocity of grip
The acceleration of grip
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An external drive system actuates the mechanism by applying a moment M at
bearing D. At the instant 0 = 25°, the magnitude of the velocity vector of point C
is 20 m and the angular acceleration of link CD is 45
rad
in the CCW direction.
s2
rad
Determine the angular acceleration vector of link CE (in ) at this instant.
Consider L = 6 metres.
E
2
4
M
The member OA of the industrial robot telescopes
and pivots about the fixed axis at point O. At
the instant shown, 0 = 60°, 6 = 1.2 rad/s, 60.8
rad/s2, OA = 0.9 m, OA 0.5 m/s, and OA =
-6 m/s2. Determine the magnitudes of the velocity
and acceleration of joint A of the robot. Also, sketch
the velocity and acceleration of A and determine
the angles which these vectors make with the posi-
tive x-axis. The base of the robot does not revolve
%3D
about a vertical axis.
1.1 m.
0.9 m
15°
P
The
two rotor blades of 770-mm radius rotate about the shaft at O mounted in the sliding block. The acceleration of the block
ao = 5.2 m/s². If Ò = 0 and 0 = 4.2 rad/s² when 0 = 0, find the magnitude of the acceleration of the tip A of the blade for this
instant.
770
A
mm
ao
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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- 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/secarrow_forwardAn 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_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_forward
- ASAParrow_forwardThe two V-belt pulleys form an integral unit and rotate about the fixed axis at O. At a certain instant, point A on the belt of the smaller pulley with a distance of DA = 143 mm has a velocity VA = 2.8 m/s, and point B on the belt of the larger pulley with a distance of DB = 900 mm has an acceleration ag = 43 m/s? as shown. For this instant determine the magnitude of the acceleration ac of point C in m/s? if Rc = 374 mm. ав В DB UA Rc A DAarrow_forwardThe small collar A is sliding on the bent bar with speed u = 1.5 m/s relative to the bar as shown. The distances are L= 2.60 m and d = 0.77 m. Simultaneously, the bar is rotating with angular velocity w = 2.33 rad/s about the fixed pivot B. Take the x-y axes to be fixed to the bar and determine the Coriolis acceleration acor of the slider for the instant represented. Interpret your result. В Answer: acor = ( i i+ i j) m/s? B.arrow_forward
- The boom OAB pivots about point O, while section AB simultaneously extends from within section OA. Determine the velocity and acceleration of the center B of the pulley for the following conditions: 0 = 30°, 0 = 5 deg/sec, Ö = 5 deg/sec², l = 14 ft, 1 = 1.8 ft/sec, i = -2.5 ft/sec?. The quantities l and i are the first and second time derivatives, respectively, of the length l of section AB. Express your answers as vectors in the e, and eg directions. 21' Answers: VR = (i е, + i eg) ft/sec ag = (i е, + i eg) ft/sec2arrow_forwardThe boom OAB pivots about point O, while section AB simultaneously extends from within section OA. Determine the velocity and acceleration of the center B of the pulley for the following conditions: 0 = 29°, O = 3 deg/sec, Ö = 7 deg/sec?, 1 = 15 ft, İ = 2.6 ft/sec, i = 2.4 ft/sec2. The quantities l and l are the first and second time derivatives, respectively, of the length I of section AB. Express your answers as vectors in the e, and eg directions. B 27' Answers: VB = i ee) ft/sec ag = i eg) ft/sec?arrow_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
- The member OA of the industrial robot telescopes and pivots about the fixed axis at point O. At the instant shown, 6 = 60°, 6 = 1.2 rad/s, 6 =0.8 rad/s2, OA 0.9 m, OA 0.5 m/s, and OA = -6 m/s2. Determine the magnitudes of the velocity and acceleration of joint A of the robot. Also, sketch the velocity and acceleration of A and determine the angles which these vectors make with the posi- tive x-axis. The base of the robot does not revolve about a vertical axis. 1.1 m 0.9 m 15°arrow_forwardThe boom OAB pivots about point O, while section AB simultaneously extends from within section OA. Determine the velocity and acceleration of the center B of the pulley for the following conditions: 0 = 30°, 0 = 7 deg/sec, 0 = 8 deg/sec², 1 = 7 ft, 1 = 2.2 ft/sec, Ï = -2.3 ft/sec². The quantities and I are the first and second time derivatives, respectively, of the length / of section AB. Express your answers as vectors in the e, and en directions. 0 Answers: VB = ав = (i 26' 8 A O er + er + B eo) ft/sec eo) ft/sec²arrow_forward= The disk has a circular slot with the radius equal to 200 mm, and it is in a pure rotation about O with a constant angular velocity, 15 rad/sec in the direction shown. When the slider A passes the center of the disk O, it has ė = 14 rad/sec and 6 = 0 relative to the disk, in terms of measured in the clockwise direction as shown in the figure. Calculate the magnitude of the acceleration of the slider A when it passes O, by using the body-fixed coordinate system given in the figure. Present your answer in m/sec² using 3 significant figures. A 0. 200 mm-arrow_forward
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