stem shown in Fig. 2 has equation of moti
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.
![1 Ns/m
3N/m
2 Kg F0000
4 Kg
Frictionless
Fig. 2 Translational mechanical system.
92. If the translational mechanical system shown in Fig. 2 has equation of motion after Laplace
Aransformation:
(2s + s +3)X,(s) – 3x,(5) = 0
-3x, (s) + (4s + 3)X;() = F(s)
a Write the differential equations for the system.
b. Write the state equations
4 In vector-matrix form = Ax + Bu and y = Cx, write the matrix A, B andc/
O Aselect xi, VI, K2, and vz as state variables and x(t) as the output.) [3.5 marks].
by
Laplas
table
inverse
0.5
-3 Xitt) + 4 SLa + 3 X
de'
O5
c?
0.5
dt
de
F(s)
Theorem
Name
Definition
Lincy heecm
Lincaity theom
Froney shill the
Time thevem
an-Fa-Fi)-F
ult)
fil
Soling teom
+と()
ut)
Dilletthe
o.5
-ru-d--ra- Dit heo
--Ée Difectitin thonen
sin cotte()
Itegn thonem
cos utul)
Tind e thoon
e tho
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