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
Alexus [3.1K]
3 years ago
8

A lamina with constant density rho(x, y) = rho occupies the given region. Find the moments of inertia Ix and Iy and the radii of

gyration x double bar and y double bar. The part of the disk x2 + y2 ≤ a2 in the first quadrant
Mathematics
1 answer:
jenyasd209 [6]3 years ago
3 0

Answer:

Ix = Iy = \frac{ρπR^{4} }{16}

Radius of gyration x = y =  \frac{R}{4}

Step-by-step explanation:

Given: A lamina with constant density ρ(x, y) = ρ occupies the given region x2 + y2 ≤ a2 in the first quadrant.

Mass of disk = ρπR2

Moment of inertia about its perpendicular axis is \frac{MR^{2} }{2}. Moment of inertia of quarter disk about its perpendicular is \frac{MR^{2} }{8}.

Now using perpendicular axis theorem, Ix = Iy = \frac{MR^{2} }{16} = \frac{ρπR^{4} }{16}.

For Radius of gyration K, equate MK2 = MR2/16, K= R/4.

You might be interested in
Sarah is going to New York for spring break with her friends they have $130 to spend on going to the baseball game the tickets c
anyanavicka [17]
They can buy 4 tickets, with a little bit left over. 
3 0
3 years ago
Read 2 more answers
3y
zysi [14]

Answer:

decreases

Step-by-step explanation:

7 0
3 years ago
All trapezoid are ______________________.
azamat

Answer:

quadrilaterals:))))))))))))

Step-by-step explanation:

hope it helped:))))))))))

8 0
2 years ago
Read 2 more answers
Please help, this is timed :))
Margarita [4]

This is the right answer

8 0
2 years ago
What is 1/4% as a decimal
ivann1987 [24]

Answer: %0.25

Step-by-step explanation:

Do 1 divided by 4

6 0
3 years ago
Read 2 more answers
Other questions:
  • Find the distance between the points p1 (2,-5) And p2 (-4,3)
    15·2 answers
  • The profit function p(x) of a tour operator is modeled by p(x) = −2x^2 + 700x − 10000, where x is the average number of tours he
    8·1 answer
  • Can anyone please help me I really need your help.
    12·1 answer
  • The tempature is -3 degress.The temperature is expected to decrease 2.5 degress each hour until the temperature reaches -18 degr
    9·1 answer
  • X+2=0 help thanks this is hard
    9·2 answers
  • An object is moving at a speed of 6 miles per month. Express this speed in feet per hour
    6·1 answer
  • What is the area of this figure? Enter your answer in the box.
    11·2 answers
  • ASAP ANSWERRR If a sequence is defined recursively by f(0)=4 and f(n+1)= -3f(n)+1 for n≥0, the f(3) is equal to
    6·1 answer
  • What is the total surface area of the square pyramid below?
    13·2 answers
  • What is 4 1/2 times 4 2/3
    11·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!