19–38. The plank has a weight of 30 lb, center of gravityat G, and it rests on the two sawhorses at A and B. If the end Dis raised 2 ft above the top of the sawhorses and is releasedfrom rest, determine how high end C will rise from the topof the sawhorses after the plank falls so that it rotatesclockwise about A, strikes and pivots on the sawhorse at B,and rotates clockwise off the sawhorse at A.2 ft3 ft-1.5 ft-|-1.5 ft-3 ft

Write the expression of mass moment of inertia at point G. Write the expression of the mass moment…

Answered: 19–38. The plank has a weight of 30 lb,…

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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19-21. 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
The 10kg rod has a moment of inertia which is computed from Iç =ml². If it is rotating at w = 2, determine its kinetic energy () when it is computed about the mass center G. u-irade
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
18-51. The uniform garage door has a mass of 150 kg and is guided along smooth tracks at its ends. Lifting is done using the two springs, each of which is attached to the anchor bracket at A and to the counterbalance shaft at B and C. As the door is raised, the springs begin to unwind from the shaft, thereby assisting the lift. If each spring provides a torsional moment of M = (0.70) N·m, where 0 is in radians, determine the angle 0, at which both the left- wound and right-wound spring should be attached so that the door is completely balanced by the springs, i.e., when the door is in the vertical position and is given a slight force upward, the springs will lift the door along the side tracks to the horizontal plane with no final angular velocity. Note: The elastic potential energy of a torsional spring is Ve =k0?, where M = k0 and in this case k = 0.7 N • m/rad. A В 3 m 4 m Prob. 18–51
SOLVE USING PRINCIPLE OF WORK AND ENERGY
*21-44. The uniform plate has a mass of m = 2 kg and is given a rotation of w = 4 rad/s about its bearings at A and B. If a = 0.2 m and c = 0.3 m, determine the vertical reactions at the instant shown. Use the x, y, z axes shown mac and note that I 12
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
21-50. The bent uniform rod ACD has a weight of 5 lb/ft and is supported at A by a pin and at B by a cord. If the vertical shaft rotates with a constant angular velocity w = 20 rad/s, determine the x, y, z components of force and moment developed at A and the tension in the cord. -1 t- -0.5 ft- |B 1 ft
17-110. The 15-lb disk rests on the 5-lb plate. A cord is wrapped around the periphery of the disk and attached to the wall at B. If a torque M = 40 lb - ft is applied to the disk, determine the angular acceleration of the disk and the time needed for the end C of the plate to travel 3 ft and strike the wall. Assume the disk does not slip on the plate and the plate rests on the surface at D having a coefficient of kinetic friction of 4, = 0.2. Neglect the mass of the cord. M = 40 lb · ft -3 ft-
17-73. Cable is unwound from a spool supported on small rollers at A and B by exerting a force T = 300 N on the cable. Compute the time needed to unravel 5 m of cable from the spool if the spool and cable have a total mass of 600 kg and a radius of gyration of ko = 1.2 m. For the calculation, neglect the mass of the cable being unwound and the mass of the rollers at A and B. The rollers turn with no friction. T = 300 N 15 m 0.8 m. 30° B.

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