6. Determine the equation of motion in matrix form, then calculate the natural frequencies andmode shapes of the torsional system depicted below. Assume that the torsional stiffnessvalues provided by the shaft are equal (k₁ = k2) and that disk 1 has three times the inertiaas that of disk 2 (J₁ = 3J2).01(t)82(1)10.0k1J

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Answered: 6. Determine the equation of motion in…

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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A mass of 500 kg is being lifted at uniform speed of 1.5 m/s by a winch driven by a motor running at a speed of 1000 r/min. The moments of inertia of the motor and winch are 0.5 and 0.3 kg^2, respectively. In the absence of the mass, the motor develops a torque of 100 Nm at a speed of 1000 r/min. Calculate a) the equivalent moment of inertia referred to the motor side; b) the motor torque.
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 flywheel is fitted to a multi cylinder engine, which runs at a mean speed of 360 r.p.m. If the speed varies from 6 % above the mean to 2 % below it and the fluctuation energy is 1200 kN-cm, If the radius of gyration is 20 cm, find (i) mass moment of inertia of the wheel and (ii) mass of flywheel. The mass moment of Inertia in Kgm2 is Mass of the flywheel in kg is
An engine flywheel has a mass of 6.5 tones and the radius of gyration is 2 m. If the maximum and minimum speeds are 120 r. p. m. and 118 r. p. m. respectively, find maximum fluctuation of energy.
The flywheel of a generator set weighs 150 kg and its radius of gyration is 25 cm. The diameter offlywheel shaft is 4.5 cm and length is 22 cm. The mass of armature is 90 kg and radius of gyration is 20cm. The dynamo shaft is 4 cm in diameter and 18 cm long. Determine frequency of torsional vibration.Neglect inertia of shaft and coupling. Assume G = 8.24 × 10 6 N/cm
solve a and b please. A horizontal conveyer belt moving at a uniform speed of 1.2 M/S transports material at the rate of 100 tonnes/hr. Belt is 200 M long and driven by a motor at 1200 rpm. (a) Determine the load inertia referred to the motor shaft. (b) Calculate the torque that motor should develop to accelerate the belt from standstill to full speed in 8 sec. Moment of inertia of the motor is 0.1 kg-.m2
A weight of 500 kg is being lifted up at a uniform speed of 1.5 m/s by a winch driven by a motor running at a speed of 1000 rpm. The moments of inertia of the motor and winch are 0.3 and 0.3 kg-m respectively. In the absence of the weight, the motor develops a torque of 100 Nm at a speed of 1000 r/min. Calculate the motor torque and the equivalent moment of inertia referred to the motor shaft
The uniform bar shown has mass m, length l, and mass momentof inertia I about its mass center. The bar is supported by two springs k1and k2, as shown in the figure. Obtain the differential equation of motion anddetermine the natural frequency of the system in the case of small oscillations. (USE VIRTUAL WORK METHOD)
Find the radius of gyration (KG) of a compound pendulum if the time period (T) is 1.5 second and distance from point of suspension to center of gravity is “h”& is equal to 25 cm.
22-A flywheel of mass 0.7 ton is fitted to a multi cylinder engine, which runs at a mean speed of 400 r.p.m. If the speed varies from 7 % above the mean to 3 % below it and the fluctuation energy is 2100 kN-cm, find (i) mass moment of inertia of the wheel and (ii) radius of Gyration. Solution: The mass moment of Inertia in Kgm2 is Radius of Gyration in m is
The mass moment of inertia I of a homogeneous sphere about its diameteris I = (2/5)m R², where m and R are its mass and radius, respectively. Find thedimension of I in terms of the base dimensions of (a) a gravitational [FLT] systemand (b) an absolute [MLT] system.
a gyroscope is made from a wheel mounted horizontally on a light axle (see figure). The axle pivots freely at one end, which is l =0.100m from the centre of the wheel. The wheel is a uniform disk with a radius of R=0.204m and mass M and rotates at angular speed ? =28.1s^-1 in the direction shown. Calculate the precession speed Ω. Express your answer as a positive number if the precession is anticlockwise viewed from above (i.e. the gyroscope initially moves away from you) and as a negative number otherwise.

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