A machine of mass 100 kg with a rotatingunbalance of 0.4 kg.m is placed at the midspanof a 2m long simply supported beam. Themachine operates at a speed of 1100 rpm. Thebeam has an elastic modulus of 210*10^9 N/m2and a cross-sectional moment of inertia of2.1*10^-6 m4.Whats is the steady-state amplitude of theprimary system without an absorber? Answermm.We want to design the dynamic vibrationabsorber of minimum mass such that, whenattached to the midspan of the beam, thevibrations of the beam will cease and the steady-state amplitude of the absorber will be less than30 mm.Ka = AnswerkN/m.ma = AnswerKg.

Given:mass of machine, m1=100 kgUnbalancing, moe=0.4 kg-mlength of beam, l=2 mspeed, N=1100…

A machine of mass 100 kg with a rotating unbalance of 0.4 kg.m is placed at the midspa of a 2m long simply supported beam. The machine operates at a speed of 1100 rpm. Th beam has an elastic modulus of 210*10^9 N/r and a cross-sectional moment of inertia of 2.1*10^-6 m4.

A machine of mass 100 kg with a rotating unbalance of 0.4 kg.m is placed at the midspa of a 2m long simply supported beam. The machine operates at a speed of 1100 rpm. Th beam has an elastic modulus of 21010^9 N/r and a cross-sectional moment of inertia of 2.110^-6 m4.

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

Clutches, Brakes, Couplings, and Flywheels

The clutch is described as a machine element used to connect or disconnect two shafts together to transmit torque or power. The clutch works on the principles of friction. The clutch is commonly used in automobiles to transfer power from the driving shaft to the driven shaft.

Question

A machine of mass 100 kg with a rotating
unbalance of 0.4 kg.m is placed at the midspan
of a 2m long simply supported beam. The
machine operates at a speed of 1100 rpm. The
beam has an elastic modulus of 210*10^9 N/m2
and a cross-sectional moment of inertia of
2.1*10^-6 m4.
Whats is the steady-state amplitude of the
primary system without an absorber? Answer
mm.
We want to design the dynamic vibration
absorber of minimum mass such that, when
attached to the midspan of the beam, the
vibrations of the beam will cease and the steady-
state amplitude of the absorber will be less than
30 mm.
Ka = Answer
kN/m.
ma = Answer
Kg.

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