EP ENGR.MECH.:DYNAMICS-REV.MOD.MAS.ACC.
14th Edition
ISBN: 9780133976588
Author: HIBBELER
Publisher: PEARSON CO
expand_more
expand_more
format_list_bulleted
Concept explainers
Videos
Question
Chapter 21.3, Problem 38P
To determine
The kinetic energy of the disk and rod when the assembly is rotating about the z axis.
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
The four balls, each of mass m = 2.3 kg, are rigidly mounted to the rotating frame and shaft, which are initially rotating freely about the
vertical z-axis at the angular rate of 19.5 rad/s clockwise when viewed from above. The distances r = 0.25 m and R = 0.52 m. If a
constant torque M = 23.1 N·m is applied to the shaft, calculate the time t to reverse the direction of rotation and reach an angular
velocity = 19.5 rad/s in the same sense as M.
m
R
m
r
M
m
R
m
The 30-kg wheel has a radius of gyration about its center O of ko = 240 mm, and
radius r = 0.5 m. When the wheel is subjected to the constant force F = 388 N,
applied to the wheel's center axle at an angle = 6°, it starts rolling from rest.
Determine the total angular impulse L (in N•m.s) about the wheel's IC after 3.7
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.
Your Answer:
G
Answer
Ө
F
The 29-kg wheel is rolling under the constant moment of M = 85 N·m. The wheel has
radius r = 0.57 m, has mass center at point G, and the radius of gyration is kg = 0.25
m. The coefficients of friction between the wheel and the ground is g = 0.37 and
μk = 0.16. If the wheel rolls while slipping, determine the magnitude of the linear
acceleration of point G (in m/s²). 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/s².
M
Your Answer:
Answer
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 link AC (6 kg) rotates in the vertical plane about the point B. A spring (k = 600 N/m, points C to D) of unstretched length 225 mm is fixed to the link as shown. If the link is released from rest in the position shown below, determine its angular velocity after it has rotated 90°. You may take the moment of inertia of the link AC about its mass center as Igac =÷ml?. 180 900 mmarrow_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 10-kg wheel is rolling under the constant moment of M = 97 N-m. The wheel has radius r= 0.59 m, has mass center at point G, and the radius of gyration is kg = 0.27 m. The coefficients of friction between the wheel and the ground is ls = 0.25 and Hk = 0.14. If the wheel rolls while slipping, determine the magnitude of the linear acceleration of point G (in m/s2). 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?. M Garrow_forward
- The circular disk of mass m and radius r, is rolling through the bottom of the circular path of radius R. If the disk has an angular velocity determine the force N exerted by the path on the disk.arrow_forwardThe 13.5-lblb disk rests on the 5-lblb plate. A cord is wrapped around the periphery of the disk and attached to the wall at BB. A torque MM = 40 lb⋅ftlb⋅ft is applied to the disk. Assume the disk does not slip on the plate and the plate rests on the surface at DD having a coefficient of kinetic friction of μkμk = 0.2. Neglect the mass of the Determine the angular acceleration of the disk measured counterclockwise . Determine the time needed for the end CC of the plate to travel 3 ftft and strike the wall.arrow_forwardWhen the angle θ = 90 °, the cylinder BE starts with a vertical force (F = 3210 N) Newtons on the platform. Also, the box (box) is 200 kg and the angular velocity (ω) of body AB is 9 (rad / s). First, treat the box and platform as a single body to find the following: The magnitude of the reaction forces at points B and D. Box aG acceleration in the x and y direction. Second, having progressed earlier, only found the following for the platform: Reaction force from the box on the platform. Minimum symbol minimum A request of the consonant (μs) to disallow the box.arrow_forward
- The apparatus shown below was created by attaching a 12 kg sphere to end of a 4 kg uniform rod. If it is released from rest in the position shown, determine its angular velocity when t rotates clockwise 90°. M = 30 N·m 2 m B 0.8 marrow_forwardThe 31-kg reel is mounted on the 16-kg cart. Part A: If the cable wrapped around the inner hub of the reel is subjected to a force of P=50N, determine the velocity of the cart when t = 4.2 s. The radius of gyration of the reel about its center of mass O is kO=250mm. Neglect the size of the small wheels. Part B: Determine the angular velocity of the reel when t = 4.2 s.arrow_forwardThe shown spool has a mass of 450 kg and aradius of gyration Gk=1.2 m. It rests on thesurface of conveyer belt for which the coefficient offriction m= 0.5. If the conveyer acceleratesat2 1.2m / S and the spools rolls without slipping,determine the tension in the wire and the angularacceleration of the spoolarrow_forward
- 0.4 m T The force of T = 30 N is applied to the Sord of negligible mass. Determine the angular velocity of the 25-kg wheel when the force has been applied for 8 seconds. The wheel has an angular velocity of 2 rad/s before the force is applied. The mass moment of inertia of the wheel is lo=4 kg * m². Angular velocity:arrow_forwardThe 30-kg wheel is rolling under the constant moment of M = 84 N.m. The wheel has radius r = 0.48 m, has mass center at point G, and the radius of gyration is kg = 0.24 m. The coefficients of friction between the wheel and the ground is μ = 0.39 and k=0.10. If the wheel rolls without slipping, determine the angular acceleration of the wheel (in rad/s²). 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/s². M Your Answer: Answer G 1arrow_forwardThe 28-kg wheel has a radius of gyration about its center O of ko = 220 mm, and radius r = 0.4 m. When the wheel is subjected to the couple moment M = 63 N•m, it slips as it rolls. Determine the linear acceleration of the wheel's center O (in m/s²). The coefficient of kinetic friction between the wheel and the plane is μ = 0.47. 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/s². M Your Answer: Answer 1arrow_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
First Law of Thermodynamics, Basic Introduction - Internal Energy, Heat and Work - Chemistry; Author: The Organic Chemistry Tutor;https://www.youtube.com/watch?v=NyOYW07-L5g;License: Standard youtube license