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 17.4, Problem 7FP
The 100-kg wheel has a radius of gyration about its center O of ko = 500 mm. If the wheel starts from rest determine its angular velocity in t = 3 s.
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solutionStudents have asked these similar questions
Each of the two links has a mass of 2 kg and a centroidal radius of gyration of 60mm. The slider at B has a mass of 3 kg and moves freely in the vertical guide. The springhas a stiffness of 6 kN/m. If a constant torque M = 20 N∙m is applied to link OA throughits shaft at O starting from the rest position at θ = 45°, determine the angular velocity ofOA when θ = 0.
The spool has a mass of 20 kg and a radius of gyration of kO = 160 mm
If the 15-kg block A is released from rest, determine the velocity of the block when it descends 850 mm .
At the instant shown, the 200-lb bar rotates clockwise at 4 rad/s. The spring attached to its endalways remains vertical due to the roller guide at C. If the spring has an unstretched length of 2ft and a stiffness of k = 9 lb/ft, determine the angular velocity of the bar the instant it has rotated 39° clockwise.
Chapter 17 Solutions
Engineering Mechanics: Statics & Dynamics (14th Edition)
Ch. 17.1 - Determine the moment of inertia Iy for the slender...Ch. 17.1 - The solid cylinder has an outer radius R1 height...Ch. 17.1 - Determine the moment of inertia of the thin ring...Ch. 17.1 - The paraboloid is formed by revolving the shaded...Ch. 17.1 - Determine the radius of gyration kr of the body....Ch. 17.1 - The sphere is formed by revolving the shaded area...Ch. 17.1 - The frustum is formed by rotating the shaded area...Ch. 17.1 - Prob. 8PCh. 17.1 - Prob. 9PCh. 17.1 - The pendulum consists of a 4-kg circular plate and...
Ch. 17.1 - The assembly is made of the slender rods that have...Ch. 17.1 - Prob. 12PCh. 17.1 - The wheel consists of a thin ring having a mass of...Ch. 17.1 - If the large ring, small ring and each of the...Ch. 17.1 - Determine the moment of inertia about an axis...Ch. 17.1 - Prob. 16PCh. 17.1 - Determine the location y of the center of mass G...Ch. 17.1 - Prob. 18PCh. 17.1 - Prob. 19PCh. 17.1 - Determine the moment of inertia of the wheel about...Ch. 17.1 - The pendulum consists of the 3-kg slender rod and...Ch. 17.1 - Prob. 22PCh. 17.1 - Determine the moment of inertia of the overhung...Ch. 17.3 - Draw the free-body and kinetic diagrams of the...Ch. 17.3 - Prob. 2PPCh. 17.3 - Prob. 1FPCh. 17.3 - Prob. 2FPCh. 17.3 - Prob. 3FPCh. 17.3 - Prob. 4FPCh. 17.3 - At the instant shown both rods of negligible mass...Ch. 17.3 - Prob. 6FPCh. 17.3 - The door has a weight of 200 lb and a center of...Ch. 17.3 - The door has a weight or 200 lb and a center of...Ch. 17.3 - The jet aircraft has a total mass of 22 Mg and a...Ch. 17.3 - The sports car has a weight of 4500 lb and center...Ch. 17.3 - The assembly has a mass of 8 Mg and is hoisted...Ch. 17.3 - The assembly has a mass of 4 Mg and is hoisted...Ch. 17.3 - The uniform girder AB has a mass of 8 Mg....Ch. 17.3 - A car having a weight of 4000 lb begins to skid...Ch. 17.3 - A force of P = 300 N is applied to the 60-kg cart....Ch. 17.3 - Determine the largest force P that can be applied...Ch. 17.3 - The trailer with its load has a mass of 150-kg and...Ch. 17.3 - The desk has a weight of 75 lb and a center of...Ch. 17.3 - The desk has a weight of 75 lb and a center of...Ch. 17.3 - The 150-kg uniform crate rests on the 10-kg cart....Ch. 17.3 - The 150-kg uniform crate rests on the 10-kg cart....Ch. 17.3 - The bar has a weight per length w and is supported...Ch. 17.3 - The smooth 180-lb pipe has a length of 20 ft and a...Ch. 17.3 - The smooth 180-lb pipe has a length of 20 ft and a...Ch. 17.3 - The uniform crate has a mass of 50 kg and rests on...Ch. 17.3 - Determine the acceleration of the 150-lb cabinet...Ch. 17.3 - Prob. 44PCh. 17.3 - Prob. 45PCh. 17.3 - Prob. 46PCh. 17.3 - Prob. 47PCh. 17.3 - The snowmobile has a weight of 250 lb, centered at...Ch. 17.3 - If the carts mass is 30 kg and it is subjected to...Ch. 17.3 - Prob. 50PCh. 17.3 - The pipe has a mass of 800 kg and is being towed...Ch. 17.3 - The pipe has a mass of 800 kg and is being towed...Ch. 17.3 - Prob. 53PCh. 17.3 - Prob. 54PCh. 17.3 - Prob. 55PCh. 17.3 - Prob. 56PCh. 17.4 - The 100-kg wheel has a radius of gyration about...Ch. 17.4 - Prob. 8FPCh. 17.4 - Prob. 9FPCh. 17.4 - Prob. 10FPCh. 17.4 - Prob. 11FPCh. 17.4 - Prob. 12FPCh. 17.4 - The 10-kg wheel has a radius of gyration kA = 200...Ch. 17.4 - The uniform 24-kg plate is released from rest at...Ch. 17.4 - The uniform slender rod has a mass m. If it is...Ch. 17.4 - The tent rod has a mass of 2 kg/m. If it is...Ch. 17.4 - If a horizontal force of P = 100 N is applied to...Ch. 17.4 - The 10-lb bar is pinned at its center O and...Ch. 17.4 - The 10-lb bar is pinned at its center O and...Ch. 17.4 - A cord is wrapped around the outer surface of the...Ch. 17.4 - Disk A has a weight of 5 lb and disk B has a...Ch. 17.4 - Prob. 66PCh. 17.4 - If the cord at B suddenly fails, determine the...Ch. 17.4 - Prob. 68PCh. 17.4 - The 20-kg roll of paper has a radius of gyration...Ch. 17.4 - The 20-kg roll of paper has a radius of gyration...Ch. 17.4 - The reel of cable has a mass of 400 kg and a...Ch. 17.4 - Prob. 72PCh. 17.4 - Cable is unwound from a spool supported on small...Ch. 17.4 - The 5-kg cylinder is initially at rest when it is...Ch. 17.4 - Prob. 75PCh. 17.4 - Prob. 76PCh. 17.4 - Disk D turns with a constant clockwise angular...Ch. 17.4 - Prob. 78PCh. 17.4 - Prob. 79PCh. 17.4 - Prob. 80PCh. 17.4 - Prob. 81PCh. 17.4 - Prob. 82PCh. 17.4 - Prob. 83PCh. 17.4 - Prob. 84PCh. 17.4 - Prob. 85PCh. 17.4 - Prob. 86PCh. 17.4 - Prob. 87PCh. 17.4 - The 100-kg pendulum has a center of mass at G and...Ch. 17.5 - The Catherine wheel is a firework that consists of...Ch. 17.5 - The uniform 60-kg slender bar is initially at rest...Ch. 17.5 - Prob. 14FPCh. 17.5 - Prob. 15FPCh. 17.5 - The 20- kg sphere rolls down the inclined plane...Ch. 17.5 - The 200-kg spool has a radius of gyration about...Ch. 17.5 - The 12-kg slender rod is pinned to a small roller...Ch. 17.5 - If the disk in Fig. 17-19 rolls without slipping,...Ch. 17.5 - The 20-kg punching bag has a radius of gyration...Ch. 17.5 - The uniform 150-lb beam is initially at rest when...Ch. 17.5 - The tire has a weight of 30 lb and a radius of...Ch. 17.5 - The tire has a weight of 30 lb and a radius of...Ch. 17.5 - The spool has a mass of 100 kg and a radius of...Ch. 17.5 - Solve Prob.17-96 if the cord and force P = 50 N...Ch. 17.5 - The spool has a mass of 100 kg and a radius of...Ch. 17.5 - The 12-kg uniform bar is supported by a roller at...Ch. 17.5 - A force of F= 10 N is applied to the 10-kg ring as...Ch. 17.5 - If the coefficient of static friction at C is s =...Ch. 17.5 - The 25-lb slender rod has a length of 6 ft. Using...Ch. 17.5 - The 15-lb circular plate is suspended from a pin...Ch. 17.5 - If P = 30 lb, determine the angular acceleration...Ch. 17.5 - If the coefficient of static friction between the...Ch. 17.5 - The uniform bar of mass m and length L is balanced...Ch. 17.5 - Solve Prob.17-106 if the roller is removed and the...Ch. 17.5 - The semicircular disk having a mass of 10 leg is...Ch. 17.5 - The 500-kg concrete culvert has a mean radius of...Ch. 17.5 - The 15-lb disk rests on the 5-lb plate. A cord is...Ch. 17.5 - The semicircular disk having a mass of 10 kg is...Ch. 17.5 - The circular concrete culvert rols with an angular...Ch. 17.5 - The uniform disk of mass m is rotating with an...Ch. 17.5 - The uniform disk of mass m is rotating with an...Ch. 17.5 - A cord is wrapped around each of the two 10-kg...Ch. 17.5 - The disk of mass m and radius r rolls without...Ch. 17.5 - The uniform beam has a weight W. If it is...Ch. 17.5 - The 500-lb beam is supported at A and B when it is...Ch. 17.5 - The solid ball of radius rand mass m rolls without...Ch. 17.5 - By pressing down with the finger at B, a thin ring...Ch. 17.5 - Prob. 1RPCh. 17.5 - Prob. 2RPCh. 17.5 - Prob. 3RPCh. 17.5 - Prob. 4RPCh. 17.5 - Prob. 5RPCh. 17.5 - Prob. 6RPCh. 17.5 - Prob. 7RPCh. 17.5 - 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 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 50-kg wheel has a radius of gyration about its center of gravity G of kG = 300mm. If it rolls without slipping, determine its angular velocity when it has rotated clockwise 90° from the position shown. The spring AB has a stiffness k = 200 N/m and an unstretched length of 400 mm. The wheel is released from rest.arrow_forwardThe 10-kg uniform slender rod is suspended at rest when the force of F = 150 N is applied to its end. Determine the angular velocity of the rod when it has rotated 180° clockwise from the position shown. The force is always perpendicular to the rod.arrow_forward
- The spool has a mass of 200 kg and a radius of gyration of kG = 0.2 m. If the coefficients of static and kinetic friction at A are μs = 0.3 and μk = 0.2, respectively, determine the angularacceleration of the spool if P = 400 N.arrow_forwardDetermine the gyroscopic couple, if the ship travels at 2 km/min and steer to the right in a curve of 65 m radius.The turbine rotor of a ship has a mass of 10tonnes and a radius of gyration 1.5 m. It rotates at 38r.p.s. anticlockwise, when looking from the stern and write the reactive gyroscopic effect.arrow_forwardThe 100-kgkg spool is resting on the inclined surface for which the coefficient of kinetic friction is μkμkmu = 0.1. The radius of gyration about the mass center is kGkGk_G = 0.26 mm. Determine the angular velocity of the spool, measured clockwise, when ttt = 6 ss after it is released from rest.arrow_forward
- The assembly weighs 10 lblb and has a radius of gyration kGkGk_G = 0.60 ftft about its center of mass GG. The kinetic energy of the assembly is 25 ft⋅lbft⋅lb when it is in the position shown. (Figure 1) If it rolls counterclockwise on the surface without slipping, determine its linear momentum at this instant.arrow_forwardThe 153-kg wheel has a radius of gyration about its center of mass O of kO = 283 mm. If it rotates counterclockwise at an angular speed of 1431 rev/min and the tension force applied to the braking band at A is TA = 1771N,a) Determine the angular acceleration, in rad/s2, so that the wheel comes to rest in 67.6 revolutions after TA and TB are applied.arrow_forwardThe slender 9-kg bar AB is horizontal and at rest, and the spring is unstretched. Determine the angular velocity of the bar when it has rotated clockwise 30° after being released. The spring remains vertical during the motion.arrow_forward
- The wheel has a mass of 100 kg and a radius of gyration of kO = 0.2 m. A motor supplies a torque M = (40u + 900) N #m, where u is in radians, about the drive shaft at O. Determine the speed of the loading car, which has a mass of 300 kg, after it travels s = 4 m. Initially the car is at rest when s = 0 and u = 0°. Neglect the mass of the attached cable and the mass of the car’s wheelsarrow_forwardAt the instant shown, the spring is undeformed. Determine the change in potential energy if the 20 kg disk (radius of gyration = 0.5 m) rolls 2 revolutions without slipping. Note that the shown velocity vector refers to the translation of the centre of the wheel. Choices are in image.arrow_forwardThe 100-kg spool is resting on the inclined surface for which the coefficient of kinetic friction is μk = 0.11. The radius of gyration about the mass center is kG = 0.26 m Determine the angular velocity of the spool, measured clockwise, when t = 7 s after it is released from rest.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
Mechanical Design (Machine Design) Clutches, Brakes and Flywheels Intro (S20 ME470 Class 15); Author: Professor Ted Diehl;https://www.youtube.com/watch?v=eMvbePrsT34;License: Standard Youtube License