2.12 Figure P2.12 shows a two-mass translational mechanical system. The applied force fa(t) acts onmass m₁. Displacements z₁ and z₂ are absolute positions of masses m₁ and m₂, respectively,measured relative to fixed coordinates (the static equilibrium positions with fa(t) = 0). An oil filmwith viscous friction coefficient b separates masses m, and m₂. Derive the mathematical model ofthe mechanical system.fa(t)wwwFigure P2.12m1m2Z1k₁www22Oil film,frictioncoefficient b

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Engineering

Mechanical Engineering

with viscous friction coefficient b separates masses m₁ and m₂. Derive the mathematical model of the mechanical system.

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

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Concept explainers

Forming and Shaping

Metal forming is a category of metalworking process through which the material can be given the desired shape and size by subjecting it to plastic deformation, where the component undergoes bulk deformation process upon application of loads. Unlike the shearing and machining process, the material does not undergo up to a failure point as indicated in the stress-strain curve. Hence, the stresses induced during the forming process are greater than yield strength but less than the failure strength of the material. The process does not lead to the loss of material, so it can be said to be an economical process. During forming, the material is subjected to tensile forces, compressive forces, bending, and shearing loading conditions. The material should possess the property of ductility to undergo the forming process.

Question

2.12 Figure P2.12 shows a two-mass translational mechanical system. The applied force fa(t) acts on
mass m₁. Displacements z₁ and z₂ are absolute positions of masses m₁ and m₂, respectively,
measured relative to fixed coordinates (the static equilibrium positions with fa(t) = 0). An oil film
with viscous friction coefficient b separates masses m, and m₂. Derive the mathematical model of
the mechanical system.
fa(t)
www
Figure P2.12
m1
m2
Z1
k₁
www
22
Oil film,
friction
coefficient b

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