18-46. The 12-kg slender rod is attached to a spring, whichhas an unstretched length of 2 m. If the rod is released fromrest when e = 30°, determine the angular velocity of the rodthe instant the spring becomes unstretched.2 m2 mk = 40 N/mwww

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Answered: 18-46. The 12-kg slender rod is…

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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*18-4. A force of P = 60 N is applied to the cable, which causes the 200-kg reel to turn since it is resting on the two rollers A and B of the dispenser. Determine the angular velocity of the reel after it has made two revolutions starting from rest. Neglect the mass of the rollers and the mass of the cable. Assume the radius of gyration of the reel about its center axis remains constant at ko=0.6 m. OG0.75 m '1 m во -0.6 m-
19-21. The spool has a weight of 30 lb and a radius of gyration ko = 0.45 ft. A cord is wrapped around its inner hub and the end subjected to a horizontal force P = 5 lb. Determine the spool's angular velocity in 4 s starting from rest. Assume the spool rolls without slipping. 0.9 fi P = 5 lb 0.3 ft
18-9. The disk, which has a mass of 20 kg, is subjected to the couple moment of M = (20 + 4) N• m, where e is in radians. If it starts from rest, determine its angular velocity when it has made two revolutions. 300 mm м
R19-1. The cable is subjected to a force of P = (10r) Ib. where t is in seconds. Determine the angular velocity of the spool 3 s after Pis applied, starting from rest. The spool has a weight of 150 lb and a radius of gyration of 1.25 ft about its center, O. P= (10) lb 1 ft
18-67. The system consists of a 30-kg disk, 12-kg slender rod BA, and a 5-kg smooth collar A. If the disk rolls without slipping, determine the velocity of the collar at the instant e = 0°. The system is released from rest when 0 = 45°. 2 m 30 0.5 m
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.
*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
16-34. For a short time a motor of the random-orbit sander drives the gear A with an angular velocity of VA = 40(t3 + 6t) rad/s, where t is in seconds. This gear is connected to gear B, which is fixed connected to the shaft CD. The end of this shaft is connected to the eccentric spindle EF and pad P, which causes the pad to orbit around shaft CD at a radius of 15 mm. Determine the magnitudes of the velocity and the tangential and normal components of acceleration of the spindle EF when t = 2 s after starting from rest. B D 40 mm 10 mm A -15 mm -Ε F WA P
*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
18-62. 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
17-71. The reel of cable has a mass of 400 kg and a radius of gyration of ka = 0.75 m. Determine its angular velocity when t= 2 s, starting from rest, if the force P= (202 + 80) Ń, when t is in seconds. Neglect the mass of the unwound cable, and assume it is always at a radius of 0.5 m. 0.5 m P
18-21. If corner A of the 60-kg plate is subjected to a vertical force of P = 500 N, and the plate is released from rest when 0=0°, determine the angular velocity of the plate when 0 = 45°. A P = 500 N 01 1 m B Prob. 18-21 1 m

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18-46. The 12-kg slender rod is attached to a spring, which has an unstretched length of 2 m. If the rod is released from rest when e = 30°, determine the angular velocity of the rod the instant the spring becomes unstretched. 2 m 2 m k = 40 N/m www