PEARSON ETEXT ENGINEERING MECH & STATS
15th Edition
ISBN: 9780137514724
Author: HIBBELER
Publisher: PEARSON
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Chapter 20, Problem 42P
To determine
The velocity of point
The acceleration of point
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The disk rotates about the shaft S, while the shaft is turning about the z axis at a rate of ωz = 5.5 rad/s , which is increasing at α = 2.5 rad/s2 . No slipping occurs.
Determine the x, y, and z components of the velocity of point B on the disk at the instant shown using scalar notation.
Determine the x, y, and z components of the acceleration of point B on the disk at the instant shown using scalar notation.
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.
At the instant shown, the tower crane rotates about the z axis with an angular velocity ω1=0.25rad/s, which is increasing at 0.6 rad/s2. The boom OA rotates downward with an angular velocityω2=0.4 rad/s, which is increasing at 0.8 rad/s2. Determine,the
Velocity
Accelerationof point A located at the end of the boom at this instant.
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 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 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 aoarrow_forwardThe body is formed of slender rod and rotates about a fixed axis through point O. At time t = 0, the body is in the orientation 0 = 0 and has an angular velocity wo = 0.3 rad/s and a constant angular acceleration a = 0.8 rad/s². Determine the vectors of velocity and acceleration of point A at t = 1 s. Use d = 2r = 0.8 m. (√₁ = 0.106î + 1.240ŷ m/s, da -1.289 + 1.019ĵ m/s²) ω, α y = d x Aarrow_forward
- 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_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_forwardWhat is the angular rate θ˙ measured in rad/s?arrow_forward
- 2. 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_forwardThe link OC rotates counterclockwise with a constant angular velocity of 15 rad/s within a limited arc of its motion. For the position θ=30 degrees. Determine the relative velocity v(C⁄A) ? Determine the angular velocity ωAB ? Determine the angular acceleration αAB? Determine the Coriolis acceleration ? Determine the acceleration of point C ? Determine the relative acceleration a(C⁄A) ?arrow_forwardThe wheel rolls without slipping such that at the instant shown it has an angular velocity w and angular acceleration a. Determine the velocity and acceleration of point B on the rod at this instant. B 2a A ω, αarrow_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_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_forward8arrow_forward
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