A perfectly balanced motor with its shaft has a mass of 18 kg , and a 2 kg disc is fixed onto the shaft, with eccentricity, e. The motor is mounted on an 180 kg platform supported by rubber mountings. The equivalent stiffness of the mountings is 1.5 x 10' N/m , and the equivalent damping is 3 x10* Ns/m. When the motor is running at a rotational speed of 3000 rpm, it was found that the steady state amplitude of vibration is 0.2 mm.

Mechanics of Materials (MindTap Course List)
9th Edition
ISBN:9781337093347
Author:Barry J. Goodno, James M. Gere
Publisher:Barry J. Goodno, James M. Gere
Chapter1: Tension, Compression, And Shear
Section: Chapter Questions
Problem 1.8.4P: The inclined ladder AB supports a house painter (85 kg) at C and the weight iq = 40 K/m} of the...
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Topic: Mechanics of Machines & Vibrations \ Damped System under Sinusoidal Excitation
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m=2 kg ; eccentricity, e
14.2) A perfectly balanced motor with its shaft has a
mass of 18 kg , and a 2 kg disc is fixed onto
18 kg
the shaft, with eccentricity, e. The motor is
mounted on an 180 kg platform supported by
180 kg
rubber mountings. The equivalent stiffness of
the mountings is 1.5 x 10' N/m , and the equivalent
damping is 3 x10*Ns/m. When the motor is running
Keg= 1.5 x10' N/m
Ce-3 x104Ns/m
at a rotational speed of 3000 rpm, it was found that
the steady state amplitude of vibration is 0.2 mm.
FIG. Q14. 2
Find:
a) The eccentricity, e , of the disc.
b) The magnitude of the force that is transmitted to the floor
Ans : e =
F:=
Transcribed Image Text:m=2 kg ; eccentricity, e 14.2) A perfectly balanced motor with its shaft has a mass of 18 kg , and a 2 kg disc is fixed onto 18 kg the shaft, with eccentricity, e. The motor is mounted on an 180 kg platform supported by 180 kg rubber mountings. The equivalent stiffness of the mountings is 1.5 x 10' N/m , and the equivalent damping is 3 x10*Ns/m. When the motor is running Keg= 1.5 x10' N/m Ce-3 x104Ns/m at a rotational speed of 3000 rpm, it was found that the steady state amplitude of vibration is 0.2 mm. FIG. Q14. 2 Find: a) The eccentricity, e , of the disc. b) The magnitude of the force that is transmitted to the floor Ans : e = F:=
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