19-53. The wheel has a mass of 50 kg and a radius ofgyration of 125 mm about its center of mass G. If it rollswithout slipping with an angular velocity of w, = 5 rad/sbefore it strikes the step at A, determine its angular velocityafter it rolls over the step. The wheel does not lose contactwith the step when it strikes it.150 mmA 125 mm

Consider ω2 as the angular velocity of the wheel before the impact, ω3 as the angular velocity of…

Answered: 19-53. The wheel has a mass of 50 kg…

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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19-15. If the boxer hits the 75-kg punching bag with an impulse of I = 20N-s, determine the angular velocity of the bag immediately after it has been hit. Also, find the location d of point B, about which the bag appears to rotate. Treat the bag as a uniform cylinder. I = 20 N. S 1 m 1 m B A ¹0.5 m Prob. 19-15 1.5 m
19–43. The mass center of the 3-lb ball has a velocity of (vG)ı = 6 ft/s when it strikes the end of the smooth 5-lb slender bar which is at rest. Determine the angular velocity of the bar about the z axis just after impact if e = 0.8. 2 ft 2 ft (vG)1 = 6 ft/s 0.5 ft r = 0.5 ft
The 2.5-kgkg rod ACBACB supports the two 4.1-kgkg disks at its ends. If both disks are given a clockwise angular velocity (ωA)1=(ωB)1=4.6rad/s(ωA)1=(ωB)1=4.6rad/s while the rod is held stationary and then released, determine the angular velocity of the rod after both disks have stopped spinning relative to the rod due to frictional resistance at the pins AA and BB. Motion is in the horizontal plane. Neglect friction at pin CC.
Draw the p-V and T-s diagrams in each problems.
18–17. The center O of the thin ring of mass m is given an angular velocity of wg. If the ring rolls without slipping, determine its angular velocity after it has traveled a distance of s down the plane. Neglect its thickness. Wo S Prob. 18–17
19–33. The 80-kg man is holding two dumbbells while standing on a turntable of negligible mass, which turns freely about a vertical axis. When his arms are fully extended, the turntable is rotating with an angular velocity of 0.5 rev/s. Determine the angular velocity of the man when he retracts his arms to the position shown. When his arms are fully extended, approximate each arm as a uniform 6-kg rod having a length of 650 mm, and his body as a 68-kg solid cylinder of 400-mm diameter. With his arms in the retracted position, assume the man is an 80-kg solid cylinder of 450-mm diameter. Each dumbbell consists of two 5-kg spheres of negligible size. -0.20 m 0.65 m 0.3 m H0.3 m Prob. 19–33
F19–4. Gears A and B of mass 10 kg and 50 kg have radii of gyration about their respective mass centers of kA = 80 mm and ks = 150 mm. If gear A is subjected to the couple moment M = 10 N-m when it is at rest, determine the angular velocity of gear B when t = 5 s. 0.2 m 0,1 m M = 10 N- m
*17-76. The 20-kg roll of paper has a radius of gyration ka = 120 mm about an axis passing through point A. It is pin supported at both ends by two brackets AB. The roll rests on the floor, for which the coefficient of kinetic friction is Hk = 0.2. If a horizontal force F = 60 N is applied to the end of the paper, determine the initial angular acceleration of the roll as the paper unrolls. 300 mm/ 400 mm
*18-28. The 10-kg rod AB is pin connected at A and subjected to a couple moment of M = 15 N · m. If the rod is released from rest when the spring is unstretched at 0 = 30°, determine the rod's angular velocity at the instant 0 = 60°. As the rod rotates, the spring always remains horizontal, because of the roller support at C. k = 40 N/m ww B. 0.75 m M = 15 N m
18–37. The spool has a mass of 20 kg and a radius of gyration of 200 mm ko = 160 mm. If the 15-kg block A is released from rest, determine the velocity of the block when it descends 600 mm. A
18-62. 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. 3 ft 0.5 ft www 0.5 ft k = 1.20 lb/ft 1 ft
*19-52. The wheel has a mass of 50 kg and a radius of gyration of 125 mm about its center of mass G. Determine the minimum value of the angular velocity w, of the wheel, so that it strikes the step at A without rebounding and then rolls over it without slipping. 150 mm 125 mm

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