When a free vibrations is run on the system, the ratio of amplitudes on successive cycles is 2.5 to 1.  determine the response of the machine due to a rotating unbalance of 0.25 kg*m when the machine operates at 2000 Rev/min.
When a free vibrations is run on the system, the ratio of amplitudes on successive cycles is 2.5 to 1.  determine the response of the machine due to a rotating unbalance of 0.25 kg*m when the machine operates at 2000 Rev/min.
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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When a free vibrations is run on the system, the ratio of amplitudes on successive cycles is 2.5 to 1.  determine the response of the machine due to a rotating unbalance of 0.25 kg*m when the machine operates at 2000 Rev/min.
Transcribed Image Text:The image is a chalkboard illustration of a physics problem involving a beam and a mass. Below is the transcription of the content displayed:
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**Diagram Description:**
A horizontal beam is depicted, fixed at one end. A mass is placed on the beam at a distance of 80 cm from the fixed end. The beam extends horizontally from a fixed support on the left.
**Variables and Values:**
- **m:** 125 kg (mass placed on the beam)
- **E:** \(200 \times 10^9 \, \text{N/m}^2\) (modulus of elasticity of the beam)
- **I:** \(4.5 \times 10^{-6} \, \text{m}^4\) (moment of inertia of the beam's cross-section)
**Dimensions:**
- Horizontal length from the fixed end to the mass: 80 cm
The diagram includes an arrow indicating the direction of the horizontal measurement. The equations and values provide the necessary parameters to analyze the beam's behavior under the load of mass \(m\).
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This image would be suitable content for an educational resource aimed at teaching concepts of mechanical engineering or physics, specifically focusing on topics such as beam deflection, structural analysis, and material properties.
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