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
jolli1 [7]
3 years ago
15

A thin, rectangular sheet of metal has mass M and sides of length a and b. Find the moment of inertia of this sheet about an axi

s that lies in the plane of the plate, passes through the center of the plate, and is parallel to the side with length b.
Physics
1 answer:
slega [8]3 years ago
4 0
We divide the thin rectangular sheet in small parts of height b and length dr. All these sheets are parallel to b. The infinitesimal moment of inertia of one of these small parts is
dI =r^2*dm
where dm =M(b*dr)/(ab)
Now we find the moment of inertia by integrating from -a/2 to a/2
The moment of inertia is
I= \int\limits^{-a/2}_{a/2} {r^2*dm} = M \int\limits^{-a/2}_{a/2} r^2(b*dr)/(ab)=(M/a)(r^3/3) (from (-a/2) toI=(M/3a)(a^3/8 +a^3/8)=(Ma^2)/12 (a/2))



You might be interested in
What items are inside the nucleus?
Natalija [7]

Answer:

protons and neutrons

Explanation:

8 0
3 years ago
When light in vacuum is incident at the polarizing angle (Brewster's angle) on a certain glass slab, the angle of refraction is
marysya [2.9K]

Answer:

Explanation:

θ( p ) + θ( r ) = 90  

θ (r) = angle of refraction and θ ( p ) is polarising angle.

given θ ( r ) = 31.8

θ ( p ) = 90 - 31.8 = 58.2 degree

ii ) Tanθ ( p ) = n ( refractive index ) = Tan 58.2 = 1.6

3 0
3 years ago
After a massive-star supernova, what is left behind?.
scoray [572]

Answer: A <u>Nebula </u>is left behind. A spectacular explosion in which a star ejects most of its mass in a violently expanding cloud of debris.

Hope this helps!

8 0
2 years ago
The semi-major axis of this ellipse is 8.8 cm, and the distance from one of the foci to the
scoundrel [369]

The eccentricity is 0.5

8 0
3 years ago
A bicycle wheel of radius 0.70 m is rolling without slipping on a horizontal surface with an angular speed of 2.0 rev/s when the
aleksandrvk [35]

Answer:

θ= 5 radian

Explanation:

Given data:

Radius r = 0.70 m

Initial angular speed ω_i = 2rev/s

Time t = 5 s

Final angular speed ω_f =0

so we have angular displacement

\theta= \frac{\omega_f-\omega_i}{2}\times t

putting values

\theta= \frac{0-2}{2}\times5 = 5 rad

8 0
3 years ago
Other questions:
  • What is the velocity of 360?
    14·1 answer
  • Which field(s) are created by an electron when it moves?
    7·2 answers
  • At what speed would a 3.00 x 10^4 kg airplane have to fly and with a momentum of 1.60 x 10^9 kg.m/s
    12·1 answer
  • You are standing on a log and a friend is trying to knock
    12·1 answer
  • The smallest unit of an element that has all of the properties of the element is a/an
    6·2 answers
  • 2. A man in a hot air balloon drops his “five guy's hamburger” over the edge of the basket. The
    14·1 answer
  • Please help, only answer if your 1000% correct im in summer school and need to pass this class
    15·2 answers
  • What is the definition of mutual flux?​
    9·1 answer
  • Nuclide X has a higher rate of decay than nuclide Y. Based on this information, which of the following statements must be true?
    9·1 answer
  • a steel ball bearing is released from a height hhh and rebounds after hitting a steel plate to a height hhh. what is true about
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!