Engineering Mechanics: Statics & Dynamics (14th Edition)
14th Edition
ISBN: 9780133915426
Author: Russell C. Hibbeler
Publisher: PEARSON
expand_more
expand_more
format_list_bulleted
Textbook Question
Chapter 18.5, Problem 62P
The 50-lb wheel has a radius of gyration about its center of gravity G of kG = 0. 7 ft. 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 = 1.20 lb/ft and an unstretched length of 0 5 ft. The wheel is released from rest.
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solutionStudents have asked these similar questions
The body and bucket of a skid steer loader has a weight of 2000 lb, and its center of gravity is located at G. Each of the four wheels has a weight of 100 lb and a radius of gyration about its center of gravity of 1ft. If the engine supplies a torque of M = 100 lb ft to each of the rear drive wheels, determine the speed of the loader in t = 10 s starting from rest. The wheels roll without slipping
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 .
The 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.
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 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_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_forwardThe 3.8 kg block is descending at a rate of 1.2 m/s when the hydraulic cylinder BC exerts a force F=500 N on the brake arm. Determine the number of radians the wheel will rotate before the system comes to rest. The wheel has a mass of 25 kg and a radius of gyration about its center kO=300 mm. The coefficient of kinetic friction between the brake arm and the wheel is 0.25.arrow_forward
- The 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_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_forwardEach 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.arrow_forward
- The 75 kg wheel has a radius of gyration about its mass centreof kG=400mm. If it is subjected to a torque of M=150 N.m,determine:a. The angular acceleration of the wheel,b. The linear acceleration of the mass centrec. The created frictional force at the point of contact.The coefficient of static friction between the wheel and theground is S=0.3.Hint: Assume no slipping occurs at star, and verify I at the end.arrow_forwardThe wheel has mass m and centroidal radius of gyration (k bar) and rolls without slipping up the incline under action force P. The force is applied to the end of a cord which is wrapped securely around the inner hub of the wheel as shown. Determine the speed Vo of the wheel center O after the wheel center has traveled a distance d up the incline. The wheel is at rest when the force P is first applied.arrow_forwardThe 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_forward
- The belt around the pulley, which weighs 60 lb and has a radius of gyration of 10”, has tensions applied to it on either side, as shown, for 8 seconds after the block has been dropped from rest. Determine the angular velocity of the pulley. Why does the block not have any influence on the solution?arrow_forwardThe 20 kg roll of paper has a radius of gyration kA = 85 mm about an axis passing through pointA. It is pin supported at both ends by two brackets AB. If the roll rests against a wall for which thecoefficient of kinetic friction is μk = 0.25 and a vertical force F = 30 N is applied to the end of thepaper, determine the angular acceleration of the roll as the paper unrolls.arrow_forwardIn the figure, rod AB has a mass of 10 kg, and must slide within the slots as shown. If the spring is unstretched when θ = 0°, determine the angular velocity of the bar when it reaches that angle after being released from 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
Mechanical SPRING DESIGN Strategy and Restrictions in Under 15 Minutes!; Author: Less Boring Lectures;https://www.youtube.com/watch?v=dsWQrzfQt3s;License: Standard Youtube License