A 40 kg motor is similar to the system shown in Figure 3.1. It is supported byfour springs each of stiffness 250 Nm1. The rotor is unbalanced such that theunbalance effect is equivalent to a mass of 5 kg located 50 mm from the axisof rotation. Find the amplitude of vibration and the force transmitted to thefoundation when the speed of the motor is (a) 1000 rev min", (b) 60 rev minThe damping ratio, 5 = 0.15.mueemuk/2k/2(a) At time t = 0, in equilibirum(b) After time tE

data provided m = 40 kg me = 5 kg e = 50 mm =0.05m ς = 0.15w = 1000 rpm =1000×2π60= 104.72 rad/s

tiffness 250 Nm'. The rotor is unbalanced such that the quivalent to a mass of 5 kg located 50 mm from the axis amplitude of vibration and the force transmitted to the speed of the motor is (a) 1000 rev min", (b) 60 rev min = 0.15.

tiffness 250 Nm'. The rotor is unbalanced such that the quivalent to a mass of 5 kg located 50 mm from the axis amplitude of vibration and the force transmitted to the speed of the motor is (a) 1000 rev min", (b) 60 rev min = 0.15.

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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Concept explainers

Free undamped vibrations

Whenever an object/system displaces in either side of its equilibrium position with the help of an external/internal means, then the object/system moves regularly or randomly on both sides of its equilibrium position. This motion is called vibration. Generally, there are three types of vibration: longitudinal vibration, transverse vibration, and torsional vibration.

Question

A 40 kg motor is similar to the system shown in Figure 3.1. It is supported by
four springs each of stiffness 250 Nm1. The rotor is unbalanced such that the
unbalance effect is equivalent to a mass of 5 kg located 50 mm from the axis
of rotation. Find the amplitude of vibration and the force transmitted to the
foundation when the speed of the motor is (a) 1000 rev min", (b) 60 rev min
The damping ratio, 5 = 0.15.
mu
e
e
mu
k/2
k/2
(a) At time t = 0, in equilibirum
(b) After time t
E

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