Explanation Refer equation 13.18: Write the expression for the differential equation. m d 2 x d t 2 = − k x − b ( d x d t ) + F d cos ( ω d t ) (I) Here, ( d 2 x / d t 2 ) is the second order differential equation of displacement, m is the mass, k is the spring constant, x is the displacement, b is the constant, F d is the driving force, ω d is the driving frequency, ( d x / d t ) is the first order of differential equation for displacement and t is time. Conclusion: Substitute, A cos ( ω d t + ϕ ) for x in equation (I). m d 2 [ A cos ( ω d t + ϕ ) ] d t 2 = − k [ A cos ( ω d t + ϕ ) ] − b ( d [ A cos ( ω d t + ϕ ) ] d t ) + F d cos ( ω d t )

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ISBN: 9780134988559

Author: Wolfson, Richard

Publisher: Pearson Education,

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Relativistic Energy and Momentum

According to classical physics, time flow is the same for every observer. But according to einstein's theory, time flow is different for different observers. The idea that time flow is not the same for all may sound strange because we may not experience …

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