
(a)
The value of

Answer to Problem 4.51P
The value of
Explanation of Solution
Given information:
The value of step function is
Write the Equation of motion.
Here, acceleration is
Calculation:
Substitute
Take Laplace transform in equation (II)
Substitute
Apply partial fraction on Equation (IV).
Equate constant term of equation (V).
Equate coefficient of
Equate coefficient of
Solve equation (VI) and (VII).
Substitute
Substitute
Take inverse Laplace of Equation (VIII).
Conclusion:
The value of
(b)
The value of

Answer to Problem 4.51P
The value of
Explanation of Solution
Given information:
The value of step function is
Write the Equation of motion.
Here, acceleration is
Calculation:
Substitute
Take Laplace transform in equation (X)
Substitute
Apply partial fraction on Equation (XII).
Equate constant term of equation (XIII).
Equate coefficient of
Equate coefficient of
Substitute
Substitute
Take inverse Laplace of Equation (XVI).
Further simplifying
Conclusion:
The value of
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Chapter 4 Solutions
System Dynamics
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