PEARSON ETEXT ENGINEERING MECH & STATS
15th Edition
ISBN: 9780137514724
Author: HIBBELER
Publisher: PEARSON
expand_more
expand_more
format_list_bulleted
Concept explainers
Videos
Question
Chapter 20, Problem 49P
To determine
The velocity of point
The acceleration of point
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
4. As shown in the image below, the bucket of the backhoe traces the path of the
cardioid r = C · (1 – cos 0) ft, where constant C= 28. At this instant angle 0
-
= 121°, and the boom is rotating with an angular velocity of 0 = 2.3 rad/s and an
angular acceleration of 0 = 0.19 rad/s?. Determine the magnitude of the
acceleration of the bucket in rad/s². Please pay attention: the numbers may change
since they are randomized. Your answer must include 1 place after the decimal
point.
Your Answer:
Answer
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
DA
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
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, mechanical-engineering and related others by exploring similar questions and additional content below.Similar questions
- = 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_forwardA 3 in radius disk spins at the constant ω1 - 5 radian/s and a constant rate ω2= 4 radians/s. If the angle is 45 degrees, find the absolute acceleration at point P.arrow_forwardThe 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.arrow_forward
- The disk rotates with the angular motion shown. Determine the angular velocity and angular acceleration of the slotted link AC at this instant. The peg at B is fixed to the disk. w = 6 rad/s a = 10 rad/s² A 30° 0.3 m 0.75 m 30° Barrow_forwardA disk oscillates about its axis of rotation given by its angular acceleration of ∝ = -kθ. First determine the value of k for which, w= 16 rad/s when θ = 0 and θ = 6 radians when w= 0. Then determine the angular velocity when θ = 1.2 radians.arrow_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
- 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 Marrow_forward2 Determine the angular velocity of links AB and BC at the instant 0 = 30°. Also, sketch the position of link BC when 0 = 55°, 45°, and 30° to show its general plane motion. B 1 ft 3 ft °c = 6 ft/sarrow_forward3.0 m/s relative to the bar as shown. The distances are L = 2.97 m and d 0.82 m The small collar A is sliding on the bent bar with speed Simultaneously, the bar is rotating with angular velocity w 1.34 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. BC Answer: acor =( | i ii j) m/s2arrow_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_forwardAt the instant shown, the arm OA of the conveyor belt is rotating about the z axis with a constant angular velocity w 6.5 rad/s, while at the same instant the arm is rotating upward at a constant rate w₂=3.9 rad/s (Figure 1) Figure 0-45° ▼ Part A If the conveyor is running at a rate r = 5 ft/s, which is increasing at F-8 ft/s². determine the velocity of the package Pat the instant shown. Neglect the size of the package. Enter the z, y, and z components of the velocity in feeet per second to three significant figures separated by commas. vp Part B Submit LVE| ΑΣΦ | 11 ap vec Submit Request Answer Determine the acceleration of the package P at the instant shown Enter the z, y, and a components of the acceleration in feet per second squared to three significant figures separated by commas. IVE] ΑΣΦ | 11 vec 52 C Request Answer ft/s ? ft/s²arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
Elements Of ElectromagneticsMechanical EngineeringISBN:9780190698614Author:Sadiku, Matthew N. O.Publisher:Oxford University Press
Mechanics of Materials (10th Edition)Mechanical EngineeringISBN:9780134319650Author:Russell C. HibbelerPublisher:PEARSON
Thermodynamics: An Engineering ApproachMechanical EngineeringISBN:9781259822674Author:Yunus A. Cengel Dr., Michael A. BolesPublisher:McGraw-Hill Education
Control Systems EngineeringMechanical EngineeringISBN:9781118170519Author:Norman S. NisePublisher:WILEY
Mechanics of Materials (MindTap Course List)Mechanical EngineeringISBN:9781337093347Author:Barry J. Goodno, James M. GerePublisher:Cengage Learning
Engineering Mechanics: StaticsMechanical EngineeringISBN:9781118807330Author:James L. Meriam, L. G. Kraige, J. N. BoltonPublisher:WILEY
Elements Of Electromagnetics
Mechanical Engineering
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Oxford University Press
Mechanics of Materials (10th Edition)
Mechanical Engineering
ISBN:9780134319650
Author:Russell C. Hibbeler
Publisher:PEARSON
Thermodynamics: An Engineering Approach
Mechanical Engineering
ISBN:9781259822674
Author:Yunus A. Cengel Dr., Michael A. Boles
Publisher:McGraw-Hill Education
Control Systems Engineering
Mechanical Engineering
ISBN:9781118170519
Author:Norman S. Nise
Publisher:WILEY
Mechanics of Materials (MindTap Course List)
Mechanical Engineering
ISBN:9781337093347
Author:Barry J. Goodno, James M. Gere
Publisher:Cengage Learning
Engineering Mechanics: Statics
Mechanical Engineering
ISBN:9781118807330
Author:James L. Meriam, L. G. Kraige, J. N. Bolton
Publisher:WILEY
Dynamics - Lesson 1: Introduction and Constant Acceleration Equations; Author: Jeff Hanson;https://www.youtube.com/watch?v=7aMiZ3b0Ieg;License: Standard YouTube License, CC-BY