PEARSON ETEXT ENGINEERING MECH & STATS
15th Edition
ISBN: 9780137514724
Author: HIBBELER
Publisher: PEARSON
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Chapter 20, Problem 47P
To determine
The velocity of grip
The acceleration of grip
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If the compact disc is spinning at a constant angular rate θ˙ = 445 rev/min, determine the magnitudes of the accelerations of points A and B at the instant shown.
Determine the magnitudes of the velocities of points A and B.
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
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
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 two rotor blades of 770-mm radius rotate about the shaft at O mounted in the sliding block. The acceleration of the block is aO = 5.2 m/s2. If θ˙θ˙ = 0 and θ¨θ¨ = 4.2 rad/s2 when θ = 0, find the magnitude of the acceleration of the tip A of the blade for this instant..arrow_forwardThe wheel of radius r = - 4 ft rolls without slipping on the horizontal surface. At the instant shown, 3.7 rad/sec, ao : 8.8 ft/sec², and 0 = 60°. Determine the vectors of the accelerations of points A, B, and C on the wheel. (σ = 63.6i +8.8 ft/sec², dB = 43.8i - 43.0j ft/sec², ac = 54.8 ft/sec²) W= = y ω B r απ Ꮎ × A Carrow_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 = 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_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_forwardFrom the given figure, A circular disk of a radius R rolls without slipping at a velocity V. Determine the magnitude of the velocity at point P.arrow_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
- The center O of the disk has the velocity and acceleration shown in the figure. If the disk rolls without slipping on the horizontal surface, determine the velocity of A and the acceleration of B for the instant represented. Assume a = 6.1 m/s², v = 3.5 m/s, b = 0.5 m, 0 = 40°. a Answers: VA= (i aB = ( - A b B V y L __ x i+ i j) m/s i+ ¡ j) m/s²arrow_forwardThe 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° Parrow_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
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