*17-112. The circular concrete culvert rolls with an angularvelocity of w = 0.5 rad/s when the man is at the positionshown. At this instant the center of gravity of the culvert andthe man is located at point G, and the radius of gyrationabout G is kg = 3.5 ft. Determine the angular accelerationof the culvert. The combined weight of the culvert and theman is 500 lb. Assume that the culvert rolls without slipping,and the man does not move within the culvert.4 ft0.5 ft

Write the expression of the mass moment of inertia of the system about its mass center. Write the…

Answered: *17-112. The circular concrete culvert…

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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17-95 The 20 kg punching bag has a radius of gyration about its center of mass G of kG = 0.4 m. If it is initially at rest and is subjected to a horizontal force F = 30 N, determine the initial angular acceleration of the bag and the tension in the supporting cable AB.
18-37 The spool has a mass of 20 kg and a radius of gyration of = 160 mm. if the 15 kg block A is released from rest, determine the velocity of the block when it descends 600 mm.
17-74 The two blocks A and B have a mass Ma and Mb, respectively, where Ma > Mb. If the pulley can be treated as a disk of mass M, determine the acceleration of block A. Neglect the mass of the cord and any slipping on the pulley.
18-9 The pendulum consists of a 10 kg uniform disk and a 3 kg uniform slender rod. If it is released from rest in the position shown, determine its angular from velocity when it rotates clock wise .
The rod assembly is supported by a ball-and-socket joint at C and a journal bearing at D, which develops only x and y force reactions. The rods have a mass of 0.7 kg/m. Determine the angular acceleration of the rods and the components of reaction at the supports at the instant w=9 rad/s as shown.
18-19 The 30 kg disk is originally at rest, and spring is unstretched. A couple moment M= 80 Nm is then applied to the disk as shown. Determine how far the center of mass of the disk travels along the plane before it momentarily stops. The disk rolls without slipping.
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
19-35 The 10 kg bullet having of 800 m/s is fired into the edge of the 5 kg disk as shown. Determine the angular velocity of the disk just after the bullet becomes embedded into its edge. Also, calculate the angle the disk will swing when it stops. The disk is originally at rest. Neglect the mass of the rod AB.
The trailer with its load has a mass of 200 kg and a center of mass at G. If it is subjected to a horizontal force of P = 1000 N, determine the trailer’s acceleration and the normal force on the pair of wheels at A and at B. The wheels are free to roll and have negligible mass.
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 wheels
The thin 12 kg bar has an angular velocity in a clockwise direction ω = 1.5 rad/s when in position shown. Determine its angular acceleration and the normal reactions of the smooth surface A and B at that time. i = (1/12) M . L² for a homogeneous thin bar of mass M and length L.
15-102. The two spheres each have a mass of 3 kg and are attached to the rod of negligible mass. Determine the time the torque M = (8t) N·m where, is in seconds, must be applied to the rod so that each sphere attains a speed of 3 m/s starting from rest

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