PEARSON ETEXT ENGINEERING MECH & STATS
15th Edition
ISBN: 9780137514724
Author: HIBBELER
Publisher: PEARSON
expand_more
expand_more
format_list_bulleted
Concept explainers
Textbook Question
Chapter 16, Problem 2P
The angular acceleration of the disk is defined by α = 3f + 12 rad/s, where t is in seconds. If the disk is originally rotating at ω0 = 12 rad/s, determine the magnitude of the velocity and the n and t components of acceleration of point A on the disk when t = 2 s.
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solutionStudents have asked these similar questions
The 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=-0.196
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.
A 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.
Chapter 16 Solutions
PEARSON ETEXT ENGINEERING MECH & STATS
Ch. 16 - When the gear rotates 20 revolutions, it achieves...Ch. 16 - The flywheel rotates with an angular velocity of ...Ch. 16 - The flywheel rotates with an angular velocity of (...Ch. 16 - The bucket is hoisted by the rope that wraps...Ch. 16 - A wheel has an angular acceleration of = (0.5 )...Ch. 16 - For a short period of time, the motor turns gear A...Ch. 16 - Prob. 1PCh. 16 - The angular acceleration of the disk is defined by...Ch. 16 - The disk is originally rotating at 0 = 12 rad/s....Ch. 16 - Prob. 4P
Ch. 16 - The disk is driven by a motor such that the...Ch. 16 - A wheel has an initial clockwise angular velocity...Ch. 16 - The disk starts from rest and is given an angular...Ch. 16 - The disk starts from rest and is given an angular...Ch. 16 - The disk starts at o = 1 rad/s when = 0, and is...Ch. 16 - A motor gives gear A an angular acceleration of A...Ch. 16 - A motor gives gear A an angular acceleration of A...Ch. 16 - Prob. 19PCh. 16 - Prob. 20PCh. 16 - If the motor turns gear A with an angular...Ch. 16 - Prob. 23PCh. 16 - Prob. 26PCh. 16 - Prob. 27PCh. 16 - Prob. 28PCh. 16 - At the instant shown, gear A is rotating with a...Ch. 16 - Determine the distance the load W is lifted in t =...Ch. 16 - Prob. 34PCh. 16 - Prob. 35PCh. 16 - Prob. 36PCh. 16 - The rod assembly is supported by ball-and-socket...Ch. 16 - Determine the velocity and acceleration of the...Ch. 16 - Prob. 54PCh. 16 - If roller A moves to the right with a constant...Ch. 16 - Prob. 8FPCh. 16 - Determine the angular velocity of the spool. The...Ch. 16 - If crank OA rotates with an angular velocity of =...Ch. 16 - Prob. 11FPCh. 16 - Prob. 12FPCh. 16 - At the instant shown the boomerang has an angular...Ch. 16 - The link AB has an angular velocity of 3 rad/s....Ch. 16 - The slider block C moves at 8 m/s down the...Ch. 16 - Determine the angular velocity of links AB and BC...Ch. 16 - The pinion gear A rolls on the fixed gear rack B...Ch. 16 - The pinion gear rolls on the gear racks. If B is...Ch. 16 - Prob. 71PCh. 16 - Prob. 72PCh. 16 - Prob. 77PCh. 16 - Prob. 13FPCh. 16 - Prob. 14FPCh. 16 - If the center O of the wheel is moving with a...Ch. 16 - If cable AB is unwound with a speed of 3 m/s, and...Ch. 16 - Prob. 17FPCh. 16 - Determine the angular velocity of links BC and CD...Ch. 16 - Prob. 81PCh. 16 - The conveyor belt is moving to the right at v = 8...Ch. 16 - The conveyor belt is moving to the right at v = 12...Ch. 16 - Prob. 92PCh. 16 - Prob. 93PCh. 16 - As the car travels forward at 80 ft/s on a wet...Ch. 16 - The crankshaft AB rotates at AB = 50 rad/s about...Ch. 16 - At the instant shown, end A of the rod has the...Ch. 16 - Prob. 20FPCh. 16 - The gear rolls on the fixed rack B. At the instant...Ch. 16 - At the instant shown, cable AB has a velocity of 3...Ch. 16 - At the instant shown, the wheel rotates with an...Ch. 16 - At the instant shown, wheel A rotates with an...Ch. 16 - At a given instant the bottom A of the ladder has...Ch. 16 - At a given instant the top B of the ladder has an...Ch. 16 - At a given instant the roller A on the bar has the...Ch. 16 - The rod is confined to move along the path due to...Ch. 16 - At a given instant the slider block A is moving to...Ch. 16 - Determine the angular acceleration of link CD if...Ch. 16 - The disk rolls without slipping such that it has...Ch. 16 - The slider block moves with a velocity of vB = 5...Ch. 16 - The slider block moves with a velocity of vB = 5...Ch. 16 - Water leaves the impeller of the centrifugal pump...Ch. 16 - Prob. 134PCh. 16 - Prob. 135PCh. 16 - Rod AB rotates counterclockwise with a constant...Ch. 16 - Prob. 137PCh. 16 - At the instant shown rod AB has an angular...Ch. 16 - Peg B on the gear slides freely along the slot in...Ch. 16 - Prob. 144PCh. 16 - A ride in an amusement park consists of a rotating...Ch. 16 - Prob. 146PCh. 16 - If the slider block C is fixed to the disk that...Ch. 16 - Prob. 1RPCh. 16 - Starting at (A)0 = 3 nad/s, when = 0, s = 0,...Ch. 16 - Prob. 3RPCh. 16 - Prob. 4RPCh. 16 - Prob. 5RPCh. 16 - At the instant shown, link AB has an angular...Ch. 16 - Prob. 7RPCh. 16 - At the given instant member AB has the angular...
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 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 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_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 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 = 5.0 m/s², v = 3.0 m/s, b = 0.2 m, 0 = 45% a Answers: A VA= (i ag= (i b B b V i+i ¡+ i L--x j) m/s j) m/s²arrow_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 cam is designed so that the center of the roller A which follows the contour moves on a limaçon defined by r = b - c cos θ, where b = 450 mm and c = 205 mm. If the cam does not rotate, determine the magnitude of the total acceleration of A when θ = 75° if the slotted arm revolves with a constant counterclockwise angular rate θ˙ = 2.9 rad/s.arrow_forward
- The disk starts at ω_0 = 2 rad/s when θ = 0, and is given an angular acceleration alpha = (0.3θ) rad/s^2, where θ is in radians. Determine the normal acceleration of a point A on the rim of the disk when θ = 1 rev. pi=3arrow_forwardThe flywheel is rotating with an angular velocity wo 1.97 rad/s at time t 0 when a torque is applied to increase its angular velocity. If the torque is controlled so that the angle e between the total acceleration of point A on the rim and the radial line to A is equal to 54° and remains constant, determine the angular velocity and the angular acceleration at time t 0.22 s A Answer: At time t 0.22s, rad/s i W = rad/s2 a =arrow_forwardThe 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 = 4.8 m/s², v = 3.2 m/s, b = 0.7 m, 0 = 43⁰. a A B V y | | L xarrow_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 = 26°, 0 = 7 deg/sec, 0 = 2 deg/sec², 1 = 10 ft, 1 = 1.0 ft/sec, ï = -5.9 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. +1 B 26' A eo) ft/sec eg) ft/sec² Answers: VB = ( aB = i 8 2 er + i e₁+ iarrow_forward1. The disk is originally rotating at wo=12 rad/s. If it is subjected to a constant angular acceleration of a = 20 rad/s?, determine the magnitudes of the velocity and the n and t components of acceleration of point A at the instant t= 2 s. wo = 12 rad/s 0.4 m -0.5 m--►Aarrow_forwardThe angular velocity of the disk is defined by ω=(7t2+4)rad/s, where t is in seconds. A) Determine the magnitude of the velocity of point A on the disk when t = 0.8 s . B) Determine the magnitude of the acceleration of point A on the disk when t = 0.8 sarrow_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