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alphanov
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1. The oscillation amplitude of a damped system is given by:
Using the Newton-Raphson iteration method, determine the value of t, near to 5.2 correct to 4 significant figures, when the amplitude is zero.
2. Newton's equation
3. Populating Newton's equation with the given function:
My quandry is that the question requires the time (t) when the amplitude is zero (near to 5.2) whereas the expression is couched in angular movement. I cannot, for the life of me, think how to express the expression in terms of time! I can manage with the rest of the problem!
Thanks in anticipation!
x=-8e^0.5θ sin3θ
Where θ is in radiansUsing the Newton-Raphson iteration method, determine the value of t, near to 5.2 correct to 4 significant figures, when the amplitude is zero.
2. Newton's equation
r_2=r_1-f(r_1 )/(f^' (r_1 ) )
3. Populating Newton's equation with the given function:
r_2=r_1-(-8e^0.5θ sin3θ)/(-4e^0.5θ sin(3θ)-24e^0.5θ cos(3θ))
My quandry is that the question requires the time (t) when the amplitude is zero (near to 5.2) whereas the expression is couched in angular movement. I cannot, for the life of me, think how to express the expression in terms of time! I can manage with the rest of the problem!
Thanks in anticipation!