a) Find the total response of a single-degree-of-freedom system with m = 10 kg, c= 20 N-s/m, k = 4000 N/m, x. = 0.01 m, and x'o=0 under the following conditions: a. An external force F (t) = Fo cos wt acts on the system with Fo = 100 N and a= 10 rad/s. b. Free vibration with F (t) = 0.

a) Find the total response of a single-degree-of-freedom system with m = 10 kg, c= 20 N-s/m, k = 4000 N/m, x. = 0.01 m, and x'o=0 under the following conditions: a. An external force F (t) = Fo cos wt acts on the system with Fo = 100 N and a= 10 rad/s. b. Free vibration with F (t) = 0.

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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Strain Gauges

All the components used in civil engineering and mechanical engineering applications undergo deformations due to induced internal stresses under the application of external loads. Under repeated application of loads, there is a high possibility of failure of the components. Hence, periodic monitoring of the components and determination of stresses are very important.

Question

a) Find the total response of a single-degree-of-freedom system with m = 10 kg,
c = 20 N-s/m, k = 4000 N/m, xo = 0.01 m, and x'o=0 under the following
conditions:
a. An external force F (t) = Fo cos wt acts on the system with Fo = 100 N and
o= 10 rad/s.
b. Free vibration with F(t) = 0.

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