EP ENGR.MECH.:DYNAMICS-REV.MOD.MAS.ACC.
14th Edition
ISBN: 9780133976588
Author: HIBBELER
Publisher: PEARSON CO
expand_more
expand_more
format_list_bulleted
Question
Chapter 21.4, Problem 49P
To determine
The angular acceleration of the rods and the components of reaction at the supports.
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solutionStudents have asked these similar questions
The small end rollers of the 6.2-lb uniform slender bar are constrained to move in the slots, which lie in a vertical plane. At the instant when e = 30°, the angular velocity of the bar is 2.6 rad/sec counterclockwise.
Determine the angular acceleration of the bar, the reactions at A and B, and the accelerations of points A and B under the action of the 5.1-lb force P. Neglect the friction and mass of the small rollers. The angular
acceleration is positive if counterclockwise, negative if clockwise. The acceleration of A is positive if downward, negative if upward. The acceleration of B is positive if down the slot, negative if up the slot. The
reaction at A Is positive If to the right, negative If to the left. The reaction at 8 Is positive If up and to the right, negative If down and to the left.
L= 5.2 ft
107
P= 5.1 lb
Answers:
Jad/sec?
F =
Fg =
Please solve this question in dynamics
4. The uniform slender rod has a mass m= 20 kg and length L = 0.5 m. As the frame accelerates forward the rod
is held in the position shown at a steady angle 0 = tan (3/4) by the stop at A. Determine the magnitude of the reaction force
at stop A if the acceleration is a = 6 m/s.
A =
a
L.
A
Chapter 21 Solutions
EP ENGR.MECH.:DYNAMICS-REV.MOD.MAS.ACC.
Ch. 21.1 - Show that the sum of the moments of inertia of a...Ch. 21.1 - Determine the moment of inertia of the cone with...Ch. 21.1 - Determine moment of inertia Iy of the solid formed...Ch. 21.1 - Determine the moments of inertia Ix and Iy of the...Ch. 21.1 - The density of the material is . Express the...Ch. 21.1 - Prob. 6PCh. 21.1 - Prob. 7PCh. 21.1 - Prob. 8PCh. 21.1 - The weight of the cone is 15 lb, the height is h =...Ch. 21.1 - The density of the material is .
Ch. 21.1 - Prob. 11PCh. 21.1 - Determine the moment of inertia Ixx of the...Ch. 21.1 - Determine the product of inertia Iyz of the...Ch. 21.1 - Prob. 14PCh. 21.1 - Prob. 15PCh. 21.1 - Determine the moment of inertia of the rod about...Ch. 21.1 - Prob. 17PCh. 21.1 - Prob. 18PCh. 21.1 - Prob. 19PCh. 21.1 - Prob. 20PCh. 21.1 - Prob. 21PCh. 21.3 - If a body contains no planes of symmetry, the...Ch. 21.3 - Prob. 23PCh. 21.3 - Prob. 24PCh. 21.3 - The large gear has a mass of 5 kg and a radius of...Ch. 21.3 - Prob. 26PCh. 21.3 - Prob. 27PCh. 21.3 - Prob. 28PCh. 21.3 - Prob. 29PCh. 21.3 - Prob. 30PCh. 21.3 - Prob. 31PCh. 21.3 - Prob. 32PCh. 21.3 - The 20-kg sphere rotates about the axle with a...Ch. 21.3 - The 200-kg satellite has its center of mass at...Ch. 21.3 - Prob. 35PCh. 21.3 - Prob. 36PCh. 21.3 - Prob. 37PCh. 21.3 - Prob. 38PCh. 21.3 - Prob. 39PCh. 21.3 - Prob. 40PCh. 21.4 - Derive the scalar form of the rotational equation...Ch. 21.4 - Prob. 42PCh. 21.4 - Prob. 43PCh. 21.4 - Prob. 44PCh. 21.4 - The disk has a weight of 15 lb. Neglect the weight...Ch. 21.4 - Prob. 46PCh. 21.4 - Prob. 47PCh. 21.4 - Prob. 48PCh. 21.4 - Prob. 49PCh. 21.4 - Prob. 50PCh. 21.4 - Prob. 51PCh. 21.4 - The 5-kg circular disk is mounted off center on a...Ch. 21.4 - Prob. 53PCh. 21.4 - Prob. 54PCh. 21.4 - Prob. 55PCh. 21.4 - The 4-kg slender rod AB is pinned at A and held at...Ch. 21.4 - Prob. 57PCh. 21.4 - Prob. 58PCh. 21.4 - Prob. 59PCh. 21.4 - Show that the angular velocity of a body, in terms...Ch. 21.4 - Prob. 61PCh. 21.6 - The gyroscope consists of a uniform 450-g disk D...Ch. 21.6 - Prob. 63PCh. 21.6 - Prob. 64PCh. 21.6 - Prob. 65PCh. 21.6 - When viewed from the front of the airplane, the...Ch. 21.6 - Prob. 67PCh. 21.6 - Prob. 68PCh. 21.6 - Prob. 69PCh. 21.6 - Prob. 70PCh. 21.6 - Prob. 71PCh. 21.6 - Prob. 72PCh. 21.6 - Prob. 73PCh. 21.6 - Prob. 74PCh. 21.6 - Prob. 75PCh. 21.6 - Prob. 76PCh. 21.6 - Prob. 77PCh. 21.6 - Prob. 78P
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 small end rollers of the 8-lb uniform slender bar (length = 4 ft) are constrained to move in the slots, which lie in the verticalplane. At the instant when θ = 30°, the velocity of roller A is 14 ft/s down the vertical slot. Determine the angular acceleration of the bar, the acceleration of mass center G, and the reactions of points A and B, under the action of the 6-lb force P. Neglect the friction and the mass of the small rollers.arrow_forwardThe uniform 50-kg sphere has radius r = 0.2 m and is welded to the center of the uniform 30-kg shaft as shown. When a constant couple moment M is applied to the shaft, its angular velocity reaches 74 rad/s after 4 s. Determine the magnitude of the moment M. Write your answer in N.m but do not write the units. M R= 0.1 m Taylor e m Te am Answer: Answerarrow_forwardThe 250-kg wheel has a radius of gyration about its center O of ko = 260 mm, and radius r = 0.4 m. When the wheel is subjected to the constant couple moment M = 64 N.m, it starts rolling from rest. Determine the total angular impulse L (in N.m.s) about the wheel's IC after 7.3 seconds if the wheel has been rolling without slipping. Please pay attention: the numbers may change since they are randomized. Your answer must include 1 place after the decimal point. Take g = 9.81 m/s². M Your Answer: Answerarrow_forward
- 4 The uniform 16.1-lb slender bar is hinged about a horizontal axis through O and released from rest in the horizontal position. Determine the distance b from the mass center to O which will result in an ini- tial angular acceleration of 16.1 rad/sec?, and find the force R on the bar at O just after release. G 12" 12"arrow_forwardThe concrete block weighing 644 lb is elevated by the hoisting mech- anism shown, where the cables are securely wrapped around the re- spective drums. The drums, which are fastened together and turn as a single unit about their mass center at 0, have a combined weight of 322 lb and a radius of gyration about O of 18 in. If a constant tension P = 400 lb is maintained by the power unit at A, determine the vertical acceleration of the block and the resultant force on the bearing at O. Solve using; 24" 12" P = 400 lb (a) Two free body diagrams for concrete block and drum. W = 322 lb ko = 18" (b) One system block diagram ( concrete block and drum as one system). 45° A 644 lbarrow_forward2. Consider the 5-1lb bar with length of 2½ feet and width of 2 inches. Small frictionless bearings are mounted to the ends, constraining the motion of the bar to the horizontal x and y slots. The bar starts at rest at positioned at 0= 45°. If an angular acceleration of 3 rad/s² is desired, what moment M must be applied to the bar? What are the reaction forces at A and B at that instant? Additional question: Does the width of the bar matter, or is it appropriate to consider the bar as a slender rod? Consider errors of less than 2% negligible.arrow_forward
- The 24-kg wheel has a radius of gyration about its center O of ko = 260 mm, and radius r= 0.4 m. When the wheel is subjected to the couple moment M = 90 N•m, it slips as it rolls. Determine the linear acceleration of the wheel's center O (in m/s?). The coefficient of kinetic friction between the wheel and the plane is Uk = 0.45. Please pay attention: the numbers may change since they are randomized. Your answer must include 2 places after the decimal point. Take g = 9.81 m/s?. Marrow_forwardThe 1.8-kg uniform bar rotates in the vertical plane about the pin at O.When the bar is in the position shown, its angular velocity is 4 rad/s, clockwise. For this position, find (a) the angular acceleration of the bar; and (b) the magnitude of the pin reaction at O.arrow_forwardThe uniform slender bar AB has a mass of 6.7 kg and swings in a vertical plane about the pivot at A. If 0 = 2.8 rad/s when 0 = 26%, compute the magnitude of the force supported by the pin at A at that instant. 8 730 mm Answer: FA = i Horizontal Narrow_forward
- The circular concrete culvert rolls with an angular velocity of w = 0.58 rad/s when the man is at the position shown. At this instant the center of gravity of the culvert and the man is located at point G, and the radius of gyration about G is KG = 3.7 ft. (Figure 1) Figure W 4 ft 0.5 ft 1 of 1 Part A Determine the angular acceleration of the culvert. The combined weight of the culvert and the man is 500 lb. Assume that the culvert rolls without slipping, and the man does not move within the culvert. Express your answer to three significant figures and include the appropriate units. α= Submit μA Value Provide Feedback Request Answer Units = ? Next >arrow_forwardThe circular concrete culvert rolls with an angular velocity of w = 0.60 rad/s when the man is at the position shown. At this instant the center of gravity of the culvert and the man is located at point G, and the radius of gyration about G is kg = 3.7 ft (Figure 1) Figure 4 ft O 0.5 ft Part A Determine the angular acceleration of the culvert. The combined weight of the culvert and the man is 500 lb Assume that the culvert rolls without slipping, and the man does not move within the culvert. Express your answer to three significant figures and include the appropriate units. α = Submit μÀ Value Provide Feedback X Incorrect; Try Again Units Previous Answers Request Answer ? Units input for part A Next >arrow_forwardThe circular disk of 270-mm radius has a mass of 36 kg with centroidal radius of gyration k = 235 mm and has a concentric circular groove of 105-mm radius cut into it. A steady force T is applied at an angle to a cord wrapped around the groove as shown. If T = 59N, 0 = 29°, μs = 0.08, and μk = 0.07, determine the angular acceleration a of the disk, the acceleration a of its mass center G, and the friction force F which the surface exerts on the disk. The angular acceleration a is positive if counterclockwise, negative if clockwise; the acceleration a is positive if to the right, negative if to the left; and the friction force F is positive if to the right, negative if to the left. m= 36 kg k 235 mm 270 mm T G Ug = 0.08 Uh = 0.07 105 mm.arrow_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
BEARINGS BASICS and Bearing Life for Mechanical Design in 10 Minutes!; Author: Less Boring Lectures;https://www.youtube.com/watch?v=aU4CVZo3wgk;License: Standard Youtube License