i need the answer quickly Q1/ A vertical shaft 100 mm in diameter and 1 m in length has its upper end fixed at the top. At theother end it carries a disc of weight 20 kN. E - 2*10° N/mm'. Neglecting the weight of the shaft,determine the frequency of longitudinal vibrations and transverse vibrations.Q2/ A simply supported shaft of length 1.6 m carry a mass of 120 kg placed 500 mm from one end. IfE= 200 GN/m and diameter of shaft is 50 mm, find the natural frequency of transverse vibrations.Q3/ Find the frequency of transverse vibrations of a shaft which is simply supported at the ends and is of40 mm in diameter. The length of the shaft is 5 m. The shaft carries three point loads of masses15 kg, 35 kg and 22.5 kg at 1 m, 2 m and 3.4 m respectively from the left support.Take E = 200 GN/m².Q4/ Using the Dunkerley's method prove that natural frequency of transverse vibrations of a systemwith two loads attached to the same shaft is given by (neglect the weight of the shaft)0.4985f. =S, + 82Q5/ A shaft 180 mm diameter is simply supported in two bearings 2.5 m apart. It carries three dises ofmass 250 kg, 500 kg and 200 kg at 0.6 m, 1.5 m and 2 m from the left hand. Assuming the mass ofthe shaft 190 kg/m, determine the critical speed of the shaft. Young's modulus for the material ofthe shaft is 211 GN/m?.Q6/ A shaft 1.5 m long are fixed at both ends and carry two wheels each of 50 kg mass. One wheel issituated at the center of the shaft and the other at a distance of 0.4 m from the center towards right.The shaft is hollow of external diameter 75 mm and inner diameter 37.5 mm. The density of theshaft material is 8000 kg/m. The Young's modulus for the shaft material is 200 GN/m?. Find thefrequency of transverse vibration.Q7/ A vertical shaft are held in long bearings and a disc is attached to the shaft at its mid point. Thecenter of gravity of the disc dose not coincides with the axis of the shaft. The diameter of the shaftis 20 mm and the span of the shaft between the bearings is 1 m. The mass of the disc is 10 kg andthe center of gravity of the disc is 0.03 mm from the axis of the shaft. Take E = 200 GŇ/m?.Determine the critical speed of the shaft when it runs at 700 rpm.Q8/ Find the natural frequency of vibration for the system shown, when K1 = 10 N/mm, K2 = 5 N/mmand W - 109 N.%3DK,KIK;W

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QI/ A vertical shaft 100 mm in diameter and 1 m in length has its upper end fixed at the top. At the other end it carries a disc of weight 20 kN. E - 2*10 N/mm'. Neglecting the weight of the shaft, determine the frequency of longitudinal vibrations and transverse vibrations.

QI/ A vertical shaft 100 mm in diameter and 1 m in length has its upper end fixed at the top. At the other end it carries a disc of weight 20 kN. E - 2*10 N/mm'. Neglecting the weight of the shaft, determine the frequency of longitudinal vibrations and transverse vibrations.

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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Q1/ A vertical shaft 100 mm in diameter and 1 m in length has its upper end fixed at the top. At the other end it carries a disc of weight 20 kN. E = 2*10 N/mm2. Neglecting the weight of the shaft, determine the frequency of longitudinal vibrations and transverse vibrations. Q2/ A simply supported shaft of length 1.6 m carry a mass of 120 kg placed 500 mm from one end. If E = 200 GN/m2 and diameter of shaft is 50 mm, find the natural frequency of transverse vibrations. Q3/ Find the frequency of transverse vibrations of a shaft which is simply supported at the ends and is of 40 mm in diameter. The length of the shaft is 5 m. The shaft carries three point loads of masses 15 kg, 35 kg and 22.5 kg at 1 m, 2 m and 3.4 m respectively from the left support. Take E = 200 GN/m2. Q4/ Using the Dunkerley's method prove that natural frequency of transverse vibrations of a system with two loads attached to the same shaft is given by (neglect the weight of the shaft) 0.4985 f, = Q5/ A vertical shaft…
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ASAP
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