Answer:
The value of the damping coefficient γ is (6/19)√29, which is approximately 1.70058.
Step-by-step explanation:
Given that a certain vibrating system satisfies the equation
u'' + γu' + u = 0
We wish to find the value of the damping coefficient γ for which the quasi period of the damped motion is 90% greater than the period of the corresponding undamped motion.
The period of the undamped motion T is 2π
The quasi period T_d is (4π)/√(4 - γ²)
Since the quasi period is 90% greater than the period of the undamped motion, we have
T_d = 1.9T
So that we can finally obtain
γ as 1.70058.
THE STEP-BY-STEP WORKING IS SHOWN IN THE ATTACHMENTS.
Answer:
first make mixed
13/4 x 5/8
just multiply the numerator with numerator and denominator with denominator
13x5=65
4x8=32
65/32 or 2 1/32
Step-by-step explanation:
Multiplying 37.4 x 0.7 gives you answer less than 37.4 because....
There is one decimal point in 37.4 and one decimal point in 0.7
When multiplied you have to move the decimal point TWO times.
As you move the decimal point to the left the value decreses.
Hope I helped!
-Char
Center; (-1, 3)
foci; (2, 3), (-4, 3)
vertices; (4, 3), (-6,3)