4 Two rotors I, and la are mounted on a shaft with a face length of 54 cm between them. Shaft diameter is 45 cm. At a distance of 33 cm from I, it is desired to take off a drive which shall be free from oscillatory movement and to effect this, the remaining 21 cm of shaft adjacent to l, is reduced in diameter. For 1₁, mass is 41 kg, radius of gyration is 14 cm, and for la, mass is 18 kg, radius of gyration is 17 cm. Find the frequency of torsional oscillation for the system and the diameter of the reduced portion of the shaft. G= 8310 N/m².

4 Two rotors I, and la are mounted on a shaft with a face length of 54 cm between them. Shaft diameter is 45 cm. At a distance of 33 cm from I, it is desired to take off a drive which shall be free from oscillatory movement and to effect this, the remaining 21 cm of shaft adjacent to l, is reduced in diameter. For 1₁, mass is 41 kg, radius of gyration is 14 cm, and for la, mass is 18 kg, radius of gyration is 17 cm. Find the frequency of torsional oscillation for the system and the diameter of the reduced portion of the shaft. G= 8310 N/m².

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

See similar textbooks

Similar questions

The motor-pump system shown in Fig. 5.36(a) is modeled as a rigid bar of mass m=50kg and mass moment of inertia J0 = 100 kg-m2. The foundation of the system can be replaced by two springs of stiffness k1 = 500 N/m k2 = 200 N/m. and Determine the natural frequencies of the system.
gine driving a dynamo has a mass of 180 kg and a radius of gyration of 30 mm. The shaft at the flywheel end has an effective length of 250 mm and is S0 mm diameter. The armature mass is 120 kg and its radius of gyration is 22.5 mm. The dynamo shaft is 34 mm diameter and 200 mm effective length. Calculate the position of node and frequency of torsional oscillation. G = 83 kN/mm?>.
Show,by integration that the moment of inertia of a uniform thin rod AB of mass 3m and length 4a about an axis through one end and perpendicular to the plane of the rod, is 16ma2 The rod is free to rotate in a vertical plane about a smooth horizontal axis through its end A Find i)The raduis of gyration of the rod about an axis through A ii)The period of small oscillations of the rod about its position of stable equilibrum iii)Hence determine the length of the equivalent simple pendulum
A wheel is mounted on a shaft (G= 80x10^9 N/m^2) of length 3 m and radius 1 cm. The wheel is rotated 5 degrees and is released. The period of oscillation is observed as 2.3s. Determine the mass moment of inertia of the wheel.
A three-blade wind turbine used for research is supported on a shaft so that it is free to rotate about O. One technique to determine the centroidal mass moment of inertia of an object is to place a known weight at a known distance from the axis of rotation and to measure the frequency of oscillations after releasing it from rest with a small initial angle. In this case, a weight of Wadd = 50 lb is attached to one of the blades at a distance R = 20 ft from the axis of rotation. Knowing that when the blade with the added weight is displaced slightly from the vertical axis, and the system is found to have a period of 7.6 s, determine the centroidal mass moment of inertia of the three-blade rotor.
A spring, with a 54 lb/in spring constant, is mounted on a vertical wall to support a 64.4 lb mass. At t=0 and an initial velocity of 9 in/sec. to the left, the mass is released from a position 2 inches to the right of the equilibrium position. Determine: a. Angular frequency
The complete slide- back and forth motion of a single reciprocating compressor piston completes in a 2-sec period. The volume displacement of the piston though the piston cylinder is 8,902.63 in3. The stiffness of crank is said to be equal to 65.5N/m and the mass of the said piston is at 10kgs. Obtain the following 1) The natural frequency 2) Force exerted by the piston
A slender rod of 2 ft is pivoted from one end. Find the period and frequency at the (a) center of gravity (b) at L/4
Determine the constant torque that must be applied to a 50-kg flywheel, with radius of gyration45 cm, to give it a frequency of 300 rpm in 10 secs if its initially at rest. Please help me solve this problem with clear and complete solution. Please also include an illustration from the given.
Considering an undamped, forced oscillator (b = 0), show that Equation 15.35 is a solution ofEquation 15.34 with an amplitude given by Equation 15.36.
A flywheel of mass 0.9 ton is fitted to a multi cylinder engine, which runs at a mean speed of 380 r.p.m. If the speed varies from 9 % above the mean to 6 % below it and the fluctuation energy is 1100 kN-cm, find (i) mass moment of inertia of the wheel and (ii) radius of Gyration.
A dynamic torsional system, consisting of five disks keyed to a 1 inch diameter steel shaft is vibrating freely at a natural frequency. An end disk has a moment of inertia, I1 of 5 in-lb-sec2 while the next one to it has a I2 of 10 in-lb-sec2. The distance between these disks is 8 inches. The amplitude ratio of these disks Theta1/ Theta2 is -2. Determine its natural frequency in cpm. Use G=12x106 psi.