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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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.
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.
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.
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.
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 .
If the cord is subjected to a horizontal force of P = 150 N, and gear is supported by a fixed pin at O,determine the angular velocity of the gear and the velocity of the 20-kg gear rack in 4 s, starting from rest. The mass of the gear is 50 kg and it has a radius of gyration of k0 = 125 mm. Assume that the contact surface between the gear rack and the horizontal plane is smooth.
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.
17-35. The sports car has a mass of 1.5 Mg and a center of mass at G. Determine the shortest time it takes for it to reach a speed of 80 km/h, starting from rest, if the engine only drives the rear wheels, whereas the front wheels are free rolling. The coefficient of static friction between the wheels and the road is u, = 0.2. Neglect the mass of the wheels for the calculation. If driving power could be supplied to all four wheels, what would be the shortest time for the car to reach a speed of 80 km/h? G 0.35 m A -1.25 m-- -0.75 m
17-59 The uniform slender rod has a mass m. If it is released from rest when = 0, determine the magnitude of the reactive force exerted on it by pin B when = 90.
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.
The double pulley consists of two wheels which are attached to one another and turn at the same rate. The pulley has a mass of 15 kg and a radius of gyration kO=110mm. If the block at A has a mass of 40 kg, determine the speed of the block in 3 s after a constant force F=2kN is applied to the rope wrapped around the inner hub of the pulley. The block is originally at rest. Neglect the mass of the rope.
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.

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