19-39. The 12-kg rod AB is pinned to the 40-kg disk. If thedisk is given an angular velocity wn = 100 rad/s while therod is held stationary, and the assembly is then released,determine the angular velocity of the rod after the disk hasstopped spinning relative to the rod due to frictionalresistance at the bearing B. Motion is in the horizontalplane. Neglect friction at the pin A.0.3 m

Consider mD as the mass of the disk, r as the radius, l as the length of the rod, mR as the mass of…

Answered: 19-39. The 12-kg rod AB is pinned 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 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.
Example: 18-63. The uniform 80-lb garage door is guided at its ends on the track. If it is released from rest at 0 = 0º, determine the door's angular velocity at the instant = 30°. The spring is originally stretched 1 ft when the door is held open, 0 = 0°. Assume the door can be treated as a thin plate, and there is a spring and pulley system on each of the two sides of the door. Solution: 8 ft A 8 ft B k = 9 lb/ft
The shown spool has a mass of 450 kg and aradius of gyration Gk=1.2 m. It rests on thesurface of conveyer belt for which the coefficient offriction m= 0.5. If the conveyer acceleratesat2 1.2m / S and the spools rolls without slipping,determine the tension in the wire and the angularacceleration of the spool
The spring-mounted 0.89-kg collar A oscillates along the horizontal rod, which is rotating at the constant angular rate θ˙=8.2θ˙=8.2 rad/s. At a certain instant, r is increasing at the rate of 700 mm/s. If the coefficient of kinetic friction between the collar and the rod is 0.63, calculate the friction force F exerted by the rod on the collar at this instant.
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
The 13.5-lblb disk rests on the 5-lblb plate. A cord is wrapped around the periphery of the disk and attached to the wall at BB. A torque MM = 40 lb⋅ftlb⋅ft is applied to the disk. Assume the disk does not slip on the plate and the plate rests on the surface at DD having a coefficient of kinetic friction of μk = 0.2. Neglect the mass of the cord Determine the angular acceleration of the disk measured counterclockwise . Determine the time needed for the end CC of the plate to travel 3 ftft and strike the wall.
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
The 21-kg uniform thin hollow square plate is pinned at point O, and its side L = 0.5 m. If it is subjected to the constant moment M = 78 N•m and is released from rest from the position as shown, determine its angular velocity w (in rad/s) when it has rotated 45°. Please pay attention: the numbers may change since they are randomized. Your answer must include 2 places after the decimal point. Take g = 9.81 m/s2. `L MV Your Answer: Answer
0₁ Oy || 5 Kronk is asked to pull the lever. He applies a force of 20 N, causing the 8 kg lever to have an angular rad velocity of 3 || 6 8 . Determine the angular acceleration of the lever and the reaction forces at O. Assume the lever is a slender rod and that the lever was originally propped up to be level horizontally. The prop was removed at the instant Kronk applied the force. α = 5 Kronk applies the force at a length 7 and the lever has length 1 = 0.2 m. Use negative if CW 1 N N 1 rad 8² F (0) -CCW
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-

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