A device consists of eight balls each of mass 0.7 kg attached to the ends of low-mass spokes oflength 1.4 m, so the radius of rotation of the balls is 0.7 m. The device is mounted in thevertical plane. The axle is held up by supports that are not shown, and the wheel is free torotate on the nearly frictionless axle. A lump of clay with mass 0.35 kg falls and sticks to one ofthe balls at the location shown, when the spoke attached to that ball is at 45 degrees to thehorizontal. Just before the impact the clay has a speed 5 m/s, and the wheel is rotatingcounterclockwise with angular speed 0.26 radians/s.Just before the impact, what is theangular momentum of the combined system of device plus clay about the center C? (Asusual, x is to the right, y is up, and z is out of the screen, toward you.)

Given Data Mass of ball is : mb=0.7 kg Length of spokes is : Ls=1.4 m Radius of ball is : rb=0.7 m…

Answered: A device consists of eight balls each…

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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Part B and C
The arms of a Porter governor are 300 mm long. The upper arms are pivoted on the axis of rotationand the lower arms are attached to the sleeve at a distance of 35 mm from the axis of rotation. The loadon the sleeve is 54 kg and the mass of each ball is 7 kg. Determine the equilibrium speed when the radius of the balls is 225 mm. What will be the range of speed for this position, if the frictional resistances to the motion of the sleeve are equivalent to a force of 30 N?[Ans. 174.3 r.p.m. ; 8.5 r.p.m.]
Problem 2.2: The 20-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. Determine the needed torque M applied to the disk so that the end C of the plate to travel 16 ft and strike the wall for Is. 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 = 0.1. Neglect the mass of the cord. 148
4. A uniform disc of mass m = 3 kg and radius R= 0.5 may roll without slip on the 30 degree incline shown. An elastic spring of stiffness k= 100 newtons/meter is connected to the center C of the disc. Initially, the disc is held in place in the position shown, with the spring neither stretched nor compressed and with the disc at rest. At t = 0 the disc is released and is subjected to a constant force of Fo = 30 newtons along the incline. Determine the maximum speed achieved by the disc center C as the disc moves up the incline. For gravity use g = 10 m/sec². (note: initially the constant force Fo will be greater than the forces exerted by the spring and by gravity, and the disc will accelerate up the incline; but there will come a distance x along the incline after which the spring force + gravity will overtake the force Fo, and the disc will then decelerate). gravity Fo= 30 N 30° no friction
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