MOD.MASTER.W/ETEXT ENG.MECHANICS CARD+BK
15th Edition
ISBN: 9780137519170
Author: HIBBELER
Publisher: PEARSON
expand_more
expand_more
format_list_bulleted
Concept explainers
Textbook Question
Chapter 20, Problem 7P
At a given instant, the antenna has an angular motion ω1 = 3 rad/s and ω1 = 2 rad/s2 about the z axis. At this same instant θ = 30°, the angular motion about the x axis is ω2 = 1.5 rad/s, and ω2 = 4 rad/s2. Determine the velocity and acceleration of the signal horn A at this instant. The distance from O to A is d = 3ft.
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solutionStudents have asked these similar questions
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
The wheel slips as it rolls (in the same direction as point O). If vo = 6 ft/sec and if the magnitude of the velocity of A with
respect to B is 3 ft/sec, locate the instantaneous center C of zero velocity and find the magnitude of the velocity of point P.
A
B
D
9"
P
5"
VO
v of P =
ft/sec
The r-y coordinate system is body fixed with respect to the bar. The angle 0 (in radians) is given as a function of time by 0 = 0.1+0.08t². The a
coordinate of the sleeve A (in feet) is given as a function of time by x = 3+0.06t3. Determine the velocity of the sleeve at t = 4 s relative to a
nonrotating reference frame with its origin at B. (Although you are determining the velocity of A relative to a nonrotating reference frame, your
answer will be expressed in components in terms of the body-fixed reference frame.)
(Figure 1)
Enter the a and y components of the velocity separated by a comma.
Πν ΑΣφ
It vec
?
VA 2, VA y = 2.88,4.92
ft/s
Submit
Previous Answers Request Answer
X Incorrect; Try Again; 6 attempts remaining
Figure
< Return to Assignment
Provide Feedback
1 of 1
Chapter 20 Solutions
MOD.MASTER.W/ETEXT ENG.MECHANICS CARD+BK
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
- At a given instant the wheel of radius r = 0.8 m is rotating with angular velocity w = 3 rad/s and angular acceleration a = 2 rad/s. The angles shown are OA = 66° and OB = 45°. The distance daB = 0.81 m Determine the angular velocity of link AB and the acceleration of block B at this instant. OB B daB r ω, αarrow_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_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_forward
- The slender bar is moving in general plane motion with the indicated linear and angular properties. Locate the instantaneous center of zero velocity (distances x to the right of G and y above G) and determine the magnitudes of the velocities of points A and B. A Answers: X = y = VA = 0.30 m VB= i i 4.0 rad/s G 0.30 m -20° 2.0 m/s B 3 m m/s m/sarrow_forwardAt the instant shown, the arm OA of the conveyor belt is rotating about the z axis with a constant angular velocity w₁ = 6.1 rad/s, while at the same instant the arm is rotating upward at a constant rate w2 = 3.5 rad/s. (Figure 1) Figure 0₂₁ 6032 r = 6 ft 8=45° 1 of 1 Part If the conveyor is running at a rate r = 5 ft/s, which is increasing at * = 8 ft/s², determine the velocity of the package P at the instant shown. Neglect the size of the package. Enter the x, y, and z components of the velocity in feeet per second to three significant figures separated by commas. vp = Submit Part B ap = — ΑΣΦ Submit Request Answer ↓↑ — ΑΣΦ Determine the acceleration of the package P at the instant shown. Enter the x, y, and z components of the acceleration in feet per second squared to three significant figures separated by commas. Request Answer < Return to Assignment vec vec www. Provide Feedback ? ft/s ? ft/s²arrow_forwardThe piston of the hydraulic cylinder gives pin A a constant velocity v = 2.1 ft/sec in the direction shown for an interval of its motion. For where r = OA. the instant when 0 = 54°, determine r, r, 0, and A- 6.1" Answers: r = = Ö = i i i i ft/sec ft/sec² rad/sec rad/sec²arrow_forward
- 2. The square plate is constrained with the slots at A and B. At the instant when 0= 30°, point B is moving at 5 m/s down. At this 0.3 m instant, tell me the angular velocity of the plate. What is the velocity of point D? What is the velocity of point C? 03 m 0= 30arrow_forwardCrank AB rotates at a constant velocity of ω = 120 rad/s. Find the velocity of point P when θ (angle) = 30o.arrow_forwardThe end A of the cord is pulled down with a velocity of VA = 9 m/s. At the instant shown, determine: 1. The angular velocity of the spool 2. The magnitude of the velocity of point C located on the outer rim of the spool. Select one: A. ω=36 rad/s and VC = 20.12 m/s B. ω=12 rad/s and VC = 6.71 m/s C. ω=8 rad/s and VC = 4.47 m/s D. ω=4 rad/s and VC = 2.24 m/sarrow_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_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_forwardThe disk with radius r = 0.09 m is rotating at a constant angular velocity of ω = 0.9 rad/s (counterclockwise) about the fixed pin support at O. For the instant shown, find the relative acceleration component (aB/A)n, where (aB/A)n = {(ax)i+(ay)j} m/s2. Choose the correct answer: a) ax=-0.292; ay=-0.0729 b) ax=0.786; ay=0.196 c) ax=0.292; ay=0.0729 d) ax=0.0182; ay=0.00349 e) ax=-0.786; ay=-0.196arrow_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 PressMechanics of Materials (10th Edition)Mechanical EngineeringISBN:9780134319650Author:Russell C. HibbelerPublisher:PEARSONThermodynamics: An Engineering ApproachMechanical EngineeringISBN:9781259822674Author:Yunus A. Cengel Dr., Michael A. BolesPublisher:McGraw-Hill Education
- Control Systems EngineeringMechanical EngineeringISBN:9781118170519Author:Norman S. NisePublisher:WILEYMechanics of Materials (MindTap Course List)Mechanical EngineeringISBN:9781337093347Author:Barry J. Goodno, James M. GerePublisher:Cengage LearningEngineering 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