w[N/m] wohn(x)
Theory and Design for Mechanical Measurements
Measurement is a term that refers to analyzing a manufactured component regarding the degree of accuracy for dimensions, tolerances, geometric profile, roundness, flatness, smoothness, etc. Measurement always involves comparing the manufactured component or the prototype with a standard specimen whose dimensions and other parameters are assumed to be perfect and do not undergo changes with respect to time.Precisely in mechanical engineering the branch that deals with the application of scientific principles for measurements is known as metrology. The domain of metrology in general deals with various measurements like mechanical, chemical, thermodynamic, physical, and biological measurements. In mechanical engineering, the measurements are limited to mechanical specific such as length, mass, surface profile, flatness, roundness, viscosity, heat transfer, etc.
Basic principles of engineering metrology
Metrology is described as the science of measurement, precision, and accuracy. In other words, it is a method of measurement based on units and predefined standards.
![### Problem Statement:
Find the location of the application of the resultant force to generate the required moment of force about point O.
### Diagram Explanation:
- The diagram shows a simply supported beam with a varying distributed load.
- The load is represented as \( w(x) = \ln(x) \) in units of Newtons per meter \([N/m]\).
- The load is triangular, increasing from 0 to a maximum at the end of the beam.
- The beam spans a total length of 8 meters.
### Objective:
Determine the position along the beam where the resultant force, produced by the distributed load, acts to create a specific moment about point O.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F4c49c29d-b734-4891-8a07-7c122a77a78d%2Fa7cb5978-aa32-422f-849b-995150007da0%2Fumpeea8_processed.jpeg&w=3840&q=75)
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