The wheel has mass m 6.2 kg and a centroidal radius of gyration685 mm and rolls without slipping up the incline under the action of a force P. The force is applied to the end ofa cord which is wrapped securely around the inner hub of the wheel as shown. Determine the speed vo Oof thewheel center O after the wheel center has traveled a distance d 3.7 m up the incline. The wheel is at rest when975 mm and ri 370 mm and the angle 0 = 25°the force P 54 N is first applied. The distances rom, kPm/sAnswer: Vo=O

Show the free body diagram of the system.

Answered: The wheel has mass m 6.2 kg and a…

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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The 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.
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 10-kg uniform cylinder is pin supported at its center O. The square isacted upon by a constant force F = 10N and a constant couple moment M = 10 Nm.If the disk starts from rest, determine1) The reactions at the pin O and the angular acceleration of the disk2) The number of revolutions it must take to attain an angular velocity of 10 rad/s
The speed of the pickup truck’s engine is controlled by the Porter governor with4 arms of equal length, and pivot on the axis of rotation. Each ball has a massof 4 kg and the mass of the central load on the sleeve is 20 kg. The radius ofrotation of the ball is 150 mm when the governor begins to lift, and 200 mm whenthe governor is at maximum speed. The initial angular speed of the engine’scrank is 14 rad/s, and it has reached a maximum speed at an acceleration of 0.4rad/s2 after 5 seconds. 2.1. If the speed of the crank of an engine is equal to the speed of its governor,calculate the angle between the upper arm and axis of rotation (?) when thegovernor starts to lift and when it is at maximum speed.(11)2.2. Prove that the length of the governor’s arms is equal.
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.
The 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.
The 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.
The 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.
The 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 spool
The 10-kg rod AB shown is confined so that its ends move in the horizontal andvertical slots. The spring has a stiffness of k = 800N/m and is unstretched when θ = 0˚.Determine the angular velocity of AB when θ = 0˚, if the rod is released from rest when θ = 30˚.Neglect the mass of the slider blocks. It’s frictionless.
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 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.

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