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vth in amplitude) for a direct forc- -s 100 kg and stiffness k = 2500x² N. f(t)

vth in amplitude) for a direct forc- -s 100 kg and stiffness k = 2500x² N. f(t)

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Please I want solution of this question by using Convolution approach. Thanks 

Will the force illustrated in te below figure lead to a stable oscillation (no growth in amplitude) for a direct force excitation of a spring mass system of mass 100 kg and stiffness k = 2500n² N/m (USE A CONVOLUTION APPROACH) F(t) .4 .8
Transcribed Image Text:Will the force illustrated in te below figure lead to a stable oscillation (no growth in amplitude) for a direct force excitation of a spring mass system of mass 100 kg and stiffness k = 2500n² N/m (USE A CONVOLUTION APPROACH) F(t) .4 .8
Expert Solution
Step 1

Given:

The Stiffness k=2500 π2 N/m

The mass of the spring mass system = 100 kg

Step 2

The Convolution approach is generally referred as analyzing the function in the time domain.

 For the given time period T=0.4 seconds.

 

The Frequency is calculated as,

F=1T=10.4=2.5 Hz

 

The Angular frequency is calculated as,

ω=2πT=2π×2.5=5π rad/s

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