![qholmes02](/avatars/43348.jpg)
qholmes02
10.03.2020 •
Mathematics
A mass weighing 13 lb stretches a spring 1.5 in. The mass is also attached to a damper with coefficient γ. Determine the value of γ for which the system is critically damped. Assume that g=32 ft/s2. Round your answer to three decimal places.
Solved
Show answers
More tips
- H Health and Medicine Where is the appendix located?...
- S Style and Beauty How to Properly Tie a Tie: 5 Simple Steps...
- L Leisure and Entertainment How to Make a Crab Trap in Just a Few Minutes...
- H Health and Medicine How Much Does Abortion Cost? Expert Answers and Insights...
- S Sport How to Build Arm Muscles? Effective Exercises and Tips...
- H Health and Medicine When can it be said that a person has a normal pulse?...
- A Art and Culture When Will Eurovision 2011 Take Place?...
- S Style and Beauty How to Choose the Perfect Hair Straightener?...
- F Family and Home Why Having Pets at Home is Good for Your Health...
- H Health and Medicine How to perform artificial respiration?...
Answers on questions: Mathematics
- M Mathematics .................................................................
- M Mathematics How would you write 9/5 as a mixed number...
- M Mathematics Express 49 1/2 in simplest radical form....
- M Mathematics A company s number of employees (y) in (x) months from now can be modeled using the equation below. How many employees do they have right now? A company s number of employees (y)...
- M Mathematics How do you determine if a function is even, odd, or neither...
- M Mathematics Find the volume of the figure below (include proper units). Then explain how you found it. 5 m 19 m 5 m 4 m 3 m...
- M Mathematics Ratio 7/11 two other ways...
- M Mathematics Sal is participating in a charity walk. The distance Sal walks, in kilometers, is proportional to the number of hours he spends walking. Which statements are true about the distance...
- M Mathematics Traci can take one of three different buses to and from school (bus A, B, or C). She randomly catches one bus in the morning and another one on the way home. This table lists the...
- M Mathematics Given f(x) = -7x^4 + 9x² – X – 10 determine the following characteristics: Total number of solutions, possible # of real solutions, possible # of imaginary solutions...
Ответ:
γ = 13 lb.s/ft
Step-by-step explanation:
Weight = 13 lb
L = 1.5 inches = 0.125 ft
To determine the value of γ for which the system is critically damped.
We write the general equation for such a system
my" + γy' + ky = 0
And this is critically damped when the roots are equal, that is
γ² - 4km = 0
k = spring constant = (weight/L) = (13/0.125) = 104 lb/ft
m = (w/g) = (13/32.2) = 0.404 lb.s²/ft
γ² - 4km = 0
γ² - 4(104)(0.404) = 0
γ² = 168.604
γ = 12.98 = 13 lb.s/ft
Ответ:
30 %
Step-by-step explanation:
the answer is up ahead