Figure 2.a shows an example of a mechanical system used in a heavy industry. It consist of two objects with mass, M, and mass, M2, two springs with constant k, and k, and twe dampers with coefficient f, and f,. i) Draw a free body diagram for each M1 and M2. ii) Generate differential equation for each M, and M2. iii) Generate Laplace transformation equation for each M, and M2.

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(a) Figure 2.a shows an example of a mechanical system used in a heavy industry. It consists
of two objects with mass, M1 and mass, M2, two springs with constant k, and k2 and two
dampers with coefficient f, and f2.
i)
Draw a free body diagram for each M1 and M2.
ii)
Generate differential equation for each M, and M2.
iii) Generate Laplace transformation equation for each M, and M2.
iv) Represent the Laplace transformation equations in ii) in a matrix form. Consider
the value of all constants M,, M2, k1, k2, f1 and f2 are equal to 1.
Torque
k2 02
01
k1
T
viewpoint
M2
M1
f2
fi
Figure 2.a: A mechanical system.
Transcribed Image Text:(a) Figure 2.a shows an example of a mechanical system used in a heavy industry. It consists of two objects with mass, M1 and mass, M2, two springs with constant k, and k2 and two dampers with coefficient f, and f2. i) Draw a free body diagram for each M1 and M2. ii) Generate differential equation for each M, and M2. iii) Generate Laplace transformation equation for each M, and M2. iv) Represent the Laplace transformation equations in ii) in a matrix form. Consider the value of all constants M,, M2, k1, k2, f1 and f2 are equal to 1. Torque k2 02 01 k1 T viewpoint M2 M1 f2 fi Figure 2.a: A mechanical system.
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