18-6. A force of P=20 N is applied to the cable, which causesthe 175-kg reel to turn without slipping on the two rollers Aand B of the dispenser. Determine the angular velocity of thereel after it has made two revolutions starting from rest. Neglectthe mass of the cable. Each roller can be considered as an 18-kgcylinder, having a radius of 0.1 m. The radius of gyration of thereel about its center axis is kg=0.42 m.307250 mmOG500 mm400 mm-

Answered: 18-6. A force of P=20 N is applied to…

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 cable drum has a mass of 610 kg with radius of gyration of 385 mm about its center O and is mounted in bearings on the 1325-kg carriage. The carriage is initially moving to the left with a speed of 1.8 m/s, and the drum is rotating counterclockwise with an angular velocity of 2.0 rad/s when a constant horizontal tension T = 345 N is applied to the cable at time t = 0. Determine the velocity v of the carriage and the angular velocity w of the drum when t = 20 s. Neglect the mass of the carriage wheels. The velocity v is positive if to the right, negative if to the left. The angular velocity is positive if counterclockwise, negative if clockwise. %3D %3D T = 345 N 610 kg 415 mm 1325 kg
lb ft The wheel shown has a weight of 30 lb and a radius of gyration of kg = 0.6 ft. It is attached to a spring which has a stiffness k = 2. and an unstretched length of 1 ft. If the disk is released from rest in the position shown and rolls without slipping, determine its angular velocity at the instant G moves 3 ft to the left. 4 ft Sommi k = 2 lb/ft -3 ft 0.75 ft
The grooved drum C has a mass of 8.4 kg, an internal radius of 200 mm, an external radius of 300 mm, and a radius of gyration of 225 mm about its centre of gravity at fixed pin support O. Cylinder A has a mass of 12.2 kg and cylinder B has a mass of 7 kg. At the instant shown, the light cables do not slip and cylinder A has a velocity of VA = 2.2 m/s (downwards). The motion occurs in a vertical plane. What is the total kinetic energy of the system at this instant? C 300 mm 200 mm B VA A
If P = 30 lb, determine the angular acceleration of the 50-lb roller. Assume the roller to be a uniform cylinder and that no slipping occurs
*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-
stion 5 The 20-kg wheel has a radius of gyration ko = 400 mm where O is the center of the wheel. If the wheel is subjected to a moment, M = (2t) N.m, where t is in seconds, determine its angular velocity when t- 4s starting from rest. Assume the wheel is subjected to rotation only (no translation). OA 16.0 rad/s B. 10.0 rads oc 8.0 rad/s 0 5.0 rad/s
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
SOLVE USING PRINCIPLE OF WORK AND ENERGY
The 45-kg reel has a radius of gyration about its center O of ko = 220 mm. If it is released from rest, determine the total external work done to it when its center O has traveled 6.6 m down the smooth inclined plane (with angle = 35°). Please pay attention: the numbers may change since they are randomized. Your answer must include 1 place after the decimal point, and proper SI unit. Take g = 9.81 m/s². 0.4 m 0.2 m²
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 system is made up of the 1-m, 6.7-kg uniform rod AB and the two uniform disks (each of 0.10 m radius and 2.2 kg mass). If the system is released from rest when 0- 55", when rod AB has just become horizontal, determine the angular velocity of rod ABin rad/s. Assume the disks roll without slipping. Your answer must include 2 places after the decimal point. Please pay attention: the numbers may change since they are randomized. Take g= 9.81 m/s?. 1m
The uniform 80 kg slender rod is at rest in the position shown when P = 450 N is applied. Determine the value of angular velocity, w2 the rod if L1 = 5.5 m and L2 = 6.5 m. A L L2 L1 B

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