Engineering Mechanics: Statics & Dynamics (14th Edition)
14th Edition
ISBN: 9780133915426
Author: Russell C. Hibbeler
Publisher: PEARSON
expand_more
expand_more
format_list_bulleted
Concept explainers
Textbook Question
Chapter 18.4, Problem 25P
The 30-kg disk is originally at rest, and the spring is unstretched. A couple moment M = 80 N·m is then applied to the disk as shown. Determine how far the center of mass of the disk travels along the plane before it momentarily stops. The disk rolls without slipping.
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solutionStudents have asked these similar questions
Determine the steady-state angle α if the constant force P = 180 N is applied to the cart of mass M = 9 kg. The cart travels on the slope of angle θ = 16°. The pendulum bob has mass m = 3 kg and the rigid bar of length L = 1.2 m has negligible mass. Ignore all friction.
Just like the change in momentum over time generates a force (P=F) , the change in ∆t angular moment results in a torque (L = τ) . Using the theoretical values for the moments∆tof inertia of the hollow cylinder and disk, determine the torque done on the system whenthe cylinder is dropped on the disk. Take ωi = 9.5 rd/s, ωf = 6.1 rd/s, and ∆ t = 2 s
The velocity of the 8-kg cylinder is 0.3 m∕s at a certain instant. The speed v after dropping an additional 1.5 m is 2.5 m/s. The mass of the grooved drum is 12 kg, its centroidal radius of gyration is k = 210 mm, and the radius of its groove is ri = 200 mm. The frictional moment at O is a constant 3 N∙m. Find the frictional force.
Chapter 18 Solutions
Engineering Mechanics: Statics & Dynamics (14th Edition)
Ch. 18.4 - Determine the kinetic energy of the 100-kg object.Ch. 18.4 - The 80-kg wheel has a radius of gyration about its...Ch. 18.4 - The uniform 50-lb slender rod is subjected to a...Ch. 18.4 - The uniform 50-kg slender rod is at rest m the...Ch. 18.4 - The 50-kg wheel is subjected to a force of 50 N....Ch. 18.4 - If the uniform 30-kg slender rod starts from rest...Ch. 18.4 - The 20-kg wheel has a radius of gyration about its...Ch. 18.4 - At a given instant the body of mass m has an...Ch. 18.4 - The wheel is made from a 5-kg thin ring and two...Ch. 18.4 - The wheel is made from a 5-kg thin ring and two...
Ch. 18.4 - A force of P = 60 N is applied to the cable, which...Ch. 18.4 - A force of P = 20 N is applied to the cable, which...Ch. 18.4 - A force of P = 20 N is applied to the cable, which...Ch. 18.4 - The double pulley consists of two parts that are...Ch. 18.4 - The double pulley cons1sts of two parts that are...Ch. 18.4 - Prob. 9PCh. 18.4 - The spool has a mass of 40 kg and a radius of...Ch. 18.4 - Prob. 11PCh. 18.4 - Determine the velocity of the 50-kg cylinder after...Ch. 18.4 - The 10-kg uniform slender rod is suspended at rest...Ch. 18.4 - Prob. 14PCh. 18.4 - The pendulum consists of a 10-kg uniform disk and...Ch. 18.4 - A motor supplies a constant torque M = 6 kNm to...Ch. 18.4 - The center O of the thin ring of mass m is given...Ch. 18.4 - Prob. 18PCh. 18.4 - Prob. 19PCh. 18.4 - If P = 200 N and the 15-kg uniform slender rod...Ch. 18.4 - A yo-yo has a weight of 0.3 lb and a radius of...Ch. 18.4 - Prob. 22PCh. 18.4 - Prob. 23PCh. 18.4 - Prob. 24PCh. 18.4 - The 30-kg disk is originally at rest, and the...Ch. 18.4 - Two wheels of negligible weight are mounted at...Ch. 18.4 - Prob. 27PCh. 18.4 - The 10-kg rod AB is pin connected at A and...Ch. 18.4 - The 10-lb sphere starts from rest at = 0 and...Ch. 18.4 - Motor M exerts a constant force of P = 750 Non the...Ch. 18.4 - Prob. 31PCh. 18.4 - The linkage consists of two 6-kg rods AB and CD...Ch. 18.4 - The two 2-kg gears A and B are attached to the...Ch. 18.4 - The linkage consists of two 8-lb rods AB and CD...Ch. 18.4 - The linkage consists of two 8-lb rods AB and CD...Ch. 18.5 - F187. If the 30-kg disk is released from rest when...Ch. 18.5 - The 50-kg reel has a radius of gyration about its...Ch. 18.5 - The 60-kg rod OA is released from rest when = 0....Ch. 18.5 - Prob. 10FPCh. 18.5 - The 30-kg rod is released from rest when = 45....Ch. 18.5 - Prob. 12FPCh. 18.5 - Prob. 36PCh. 18.5 - Prob. 37PCh. 18.5 - An automobile tire has a mass of 7 kg and radius...Ch. 18.5 - The spool has a mass of 20 kg and a radius of...Ch. 18.5 - The spool has o mass of 20 kg and a radius of...Ch. 18.5 - A uniform ladder having a weight of 30 lb is...Ch. 18.5 - Prob. 44PCh. 18.5 - The 12-kg slender rod is attached to a spring,...Ch. 18.5 - Prob. 46PCh. 18.5 - The 40-kg wheel has a radius of gyration about its...Ch. 18.5 - The assembly consists of two 10-kg bars which are...Ch. 18.5 - The assembly consists of two 10-kg bars which are...Ch. 18.5 - The compound disk pulley consists of a hub and...Ch. 18.5 - Prob. 51PCh. 18.5 - Prob. 52PCh. 18.5 - The two 12-kg slender rods are pin connected and...Ch. 18.5 - If the 250-lb block is released from rest when the...Ch. 18.5 - The slender 15-kg bar is initially at rest and...Ch. 18.5 - If the chain is released from rest from the...Ch. 18.5 - Prob. 57PCh. 18.5 - Prob. 58PCh. 18.5 - The slender 6-kg bar AB is horizontal and at rest...Ch. 18.5 - Prob. 60PCh. 18.5 - Prob. 61PCh. 18.5 - The 50-lb wheel has a radius of gyration about its...Ch. 18.5 - The system consists of 60-lb and 20-lb blocks A...Ch. 18.5 - The door is made from one piece, whose ends move...Ch. 18.5 - Prob. 65PCh. 18.5 - Prob. 66PCh. 18.5 - Prob. 67PCh. 18.5 - The system consists of a 30-kg disk A, 12-kg...Ch. 18.5 - The pendulum of the Charpy impact machine has a...Ch. 18.5 - Prob. 2RPCh. 18.5 - The drum has a mass of 50 kg and a radius of...Ch. 18.5 - The spool has a mass of 60 Kg and a radius of...Ch. 18.5 - Prob. 5RPCh. 18.5 - At the Instant shown, the 50-lb bar rotates...Ch. 18.5 - Prob. 7RPCh. 18.5 - Prob. 8RP
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 bar AB is uniform and has a mass of 50.0 kg. At the moment shown, the rod has an angular velocity of 4.00 rad/s and spring is stretched by 0.30 m. The force constant of the spring is 25.0 N/m.a) Determine whether or not the bar will reach the horizontal position.b) If the bar becomes horizontal, calculate its angular velocity at that position. If not, calculate the angle the bar makes with the horizontal when it comes to rest momentarily.arrow_forwardThe homogeneous cylinder A has a mass of 80 kg, and the mss of the hub can be neglected. The magnitude of the variable force P, is in newtons when t is in sec- onds. The velocity of body B changes from 2 m/s downward when t = 0 to 4 m/s downward t = 5 s. Determine the mass of B. Solve all questions using Impulse and Momentum methodsarrow_forwardThe trailer with its load has a mass of 200 kg and a center of mass at G. If it is subjected to a horizontal force of P = 1000 N, determine the trailer’s acceleration and the normal force on the pair of wheels at A and at B. The wheels are free to roll and have negligible mass.arrow_forward
- The particle of mass m = 2.4 kg is attached to the light rigid rod of length L = 0.77 m, and the assembly rotates about a horizontal axis through O with a constant angular velocity θ˙θ˙ = ω = 3.5 rad/s. Determine the force T in the rod when θ = 29°. The force T is positive if in tension, negative if in compression.arrow_forwardThe right‐angle plate is formed from a flat plate having a mass ρ per unit area and is welded to the horizontal shaft mounted in the bearing at O. If the shaft is free to rotate, determine the initial angular acceleration α of the plate when it is released from rest with the upper surface in the horizontal plane. Also determine the y‐ and z‐components of the resultant force on the shaft at O.arrow_forwardA force of P = 340 N is applied to the 70-kg cart. The mass center of the cart is at G Determine the reaction at both the wheels at A. Determine the reaction at both the wheels at B. What is the acceleration of the cart?arrow_forward
- The slender 10-kg bar AB is horizontal and at rest and the spring is unstretched. Determine the stiffness k of the spring so that the motion of the bar is momentarily stopped when it has rotated clockwise 90° after being released.arrow_forwardThe box A has a mass of 80 kg, and the wedge B has a mass of 40 kg. Between all contacting surfaces, μs = 0.15 and μk = 0.12. What force F is required to raise A at a constant rate?arrow_forwardThe 15-kg uniform steel plate is freely hinged about the horizontal z-axis. Calculate the force supported by each of the bearings at A and B an instant after the plate is released from rest while in the horizontal position shown. The mass MOI of the triangle about the z-axis is Iz=1/6mh2arrow_forward
- The 0.31-kg mass slides on a frictionless wire that lies in the vertical plane. The spring attached to the mass has a free length of 80 mm and stiffness of 0.13 N/mm. Calculate the smallest value of the distance b so that the mass will reach the end of the wire at B after being released from rest at A.arrow_forwardThe 5 kg cylinder is released from rest in the postion shown in the figure below. Determine the maximum compression xmax of the spring. The stiffness of the spring is 1800 N/m.arrow_forwardThe vertical bar AB has a mass of 150 kg with center of mass G midway between the ends. The bar is elevated from rest at θ = 0 by means of the parallel links of negligible mass, with a constant couple M = 5 kN∙m applied to the lower link at C. Determine the angular acceleration α of the links as a function of θ and find the force B in the link DB at the instant when θ = 30°.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
Dynamics - Lesson 1: Introduction and Constant Acceleration Equations; Author: Jeff Hanson;https://www.youtube.com/watch?v=7aMiZ3b0Ieg;License: Standard YouTube License, CC-BY