1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
geniusboy [140]
3 years ago
10

A certain vibrating system satisfies the equation u'' + γu' + u = 0. Find the value of the damping coefficient γ for which the q

uasi period of the damped motion is 90% greater than the period of the corresponding undamped motion.

Mathematics
1 answer:
ArbitrLikvidat [17]3 years ago
5 0

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.

You might be interested in
One number is 6 times another number. it is also 12 more than twice the other number. Find the numbers.
stepan [7]

The numbers are 3 and 18

Step-by-step explanation:

  • Step 1: Let one number be x. Then the other number = 6x.

Also, 6x = 12 + 2x

⇒ 4x = 12

⇒ x = 3

⇒ 6x = 18

6 0
3 years ago
Here is the histogram of a data distribution. All class widths are 1.
Lera25 [3.4K]
It’s C. Since that’s the middle based on the diagram
6 0
2 years ago
Bill has $25 to buy fruit from the store, He buys 10 apples and has $15 left over. What is the price for 1 apple?
ddd [48]

Answer:

1 apple = $1

Step-by-step explanation:

7 0
3 years ago
To bill customers for water usage, one city converts the number of gallons used into units. This relationship is represented by
Anastaziya [24]

We are given equation g = 748u, where g is the total number of gallons of water used and u is the number of units.

We can see that the number of units of water being used by customers.

The number of units of water doesn't depend on the total number of gallons of water used.  

Therefore, the number of units u is an independent variable.

The value of the total number of gallons is totally depends on the number of units used.

Therefore,  the total number of gallons of water used g is a dependent variable.

So, we can conclude following statements:

1) g is the dependent variable.

2) u is the independent variable.

6 0
3 years ago
Read 2 more answers
What is the value of x
astra-53 [7]
I dont know this answer
3 0
3 years ago
Other questions:
  • Help please...................
    11·1 answer
  • Write the number in the form a+bi square root of -64+2?
    5·1 answer
  • Which of the following steps were applied to ABC obtain A’B’C’?
    9·1 answer
  • A fish tank holds at most 125 gallons of water. The tank already has 20 gallons of water in it when Ian begins to fill it at a r
    10·1 answer
  • What's 3*5+3-(1+1)? And join my zo om <br> 663-541-6732<br> Corvette
    12·1 answer
  • Simplify fully<br> 4x – 8x²<br> 12x-6
    7·1 answer
  • If A=60 and B=60, then find the value of tanA(A+B) = tanA + tanA/1- tanA .tanB​
    8·1 answer
  • A. figure P<br> B. figure R<br> C. figure S<br> D. figure G
    10·1 answer
  • Seriously need help with this question or I will fail my senior year
    12·2 answers
  • Yolanda made $231 for 11 hours of work. At the same rate, how many hours would she have to work to make $168?
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!