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
melamori03 [73]
1 year ago
5

Find its moment of inertia about an axis perpendicular to its plane and passing through the midpoint of the line connecting its

two ends.
Physics
1 answer:
antoniya [11.8K]1 year ago
5 0

A) Moment of inertia about an axis passing through the point where the two segments meet : $I_A=\frac{1}{12} M L^2$

B) Moment of inertia passing through the point where the midpoint of the line connects to its two ends: $I x=\frac{1}{3} M L^2$

What is Moment of inertia?

The term "moment of inertia" refers to a physical quantity that quantifies a body's resistance to having its speed of rotation along an axis changed by the application of a torque (turning force). The axis might be internal or exterior, fixed or not.

A) The moment of inertia about an axis passing through the point where the two segments meet is $I_A=\frac{1}{12} M L^2$given that the rod is bent at the center and distance from all the points to the axis remains the same, the moment of inertia about the center will remain the same.

B) Determine the moment of inertia about an axis passing through the point midpoint of the line which connects the two ends

First step: determine the distance between the ends ( d )

After applying Pythagoras theorem$\mathrm{d}=\frac{\sqrt{2}}{2} L$

Next step : determine distance between the two axis $(\mathrm{x})$

After applying Pythagoras theorem

\mathrm{x}=\frac{\sqrt{2}}{4} L$$

Final step : Calculate the value of $\mathrm{I}_{\mathrm{x}}$

applying Parallel Axis Theorem

$$I_x=I_8+M x^2$$

$$\begin{aligned}& =\frac{1}{12} M L^2+\frac{1}{4} M L^2 \\& \therefore \quad I x=\frac{1}{3} M L^2 \\&\end{aligned}$$

Hence we can conclude that Moment of inertia about an axis passing through the point where the two segments meet: $I_A=\frac{1}{12} M L^2$, Moment of inertia passing through the point where the midpoint of the line connects its two ends: $I x=\frac{1}{3} M L^2$

To learn more about moment of inertia visit:brainly.com/question/15246709

#SPJ4

You might be interested in
An amusement ride consists of a car moving in a vertical circle on the end of a rigid boom. The radius of the circle is 10 m. Th
AveGali [126]

Answer:

3.7 kN (Up)

Explanation:

7 0
3 years ago
Read 2 more answers
17 points
const2013 [10]

The velocity of the cannonball is 150 m/s,  the right option is B. 150 m/s.

The question can be solved, using Newton's second law of motion.

Note: Momentum of the cannon = momentum of the cannonball.

<h3>Formula:</h3>
  • MV = mv................. Equation 1

<h3>Where:</h3>
  • M = mass of the cannon
  • m = mass of the cannonball
  • V = velocity of the cannon
  • v = velocity of the cannonball

Make v the subject of the equation.

  • v = MV/m................ Equation 2

From the question,

<h3>Given: </h3>
  • M = 500 kg
  • V = 3 m/s
  • m = 10 kg.

Substitute these values into equation 2.

  • v = (500×3)/10
  • v = 150 m/s.

 

Hence, The velocity of the cannonball is 150 m/s,  the right option is B. 150 m/s.

Learn more about Newton's second law here: brainly.com/question/25545050

3 0
2 years ago
When waves enter a denser medium, they bend the normal.<br><br> A) Toward<br> B) Away From
Andreyy89
The answer is bend towards normal.
7 0
3 years ago
Read 2 more answers
أسقط عامل حجرة من سطح بناية سقوطأ حرة. أوجد ما يلي :
Ilia_Sergeevich [38]

Answer:

??? i don't no what you just said

Explanation:

7 0
2 years ago
A student pushes against a wall with a force of 30N. The wall does not move. What amount of force does the wall exert on the stu
True [87]

Answer:

C

Explanation:

they both have to be the same for both to not move

8 0
2 years ago
Read 2 more answers
Other questions:
  • What is the kinetic energy of a 1700 kg car traveling at a speed of 30 m/s (â65 mph)? does your answer to part b depend on the c
    12·1 answer
  • i need the answer asap plz A child rides her bike at a rate of 12.0 km/hr down the street. A squirrel suddenly runs in front of
    7·2 answers
  • A force of 7.0 N acts on a block of wood at an angle of 50 degrees above the horizontal as the block moves a distance of 6.4 met
    9·1 answer
  • What features make a question scientific, and why are some questions beyond the boundaries of scientific investigation?. .Cite a
    13·1 answer
  • 1. a) What is the weight of a 20.0 kg girl on earth?
    15·1 answer
  • Give an example of Newton's 1st law​
    13·1 answer
  • The resolution of a camera or other optical system is determined by the relationship between what two scales?
    14·1 answer
  • What is unit of pressure?why is it called a derived unit ? give reasons​
    10·1 answer
  • the candle had 350 J of energy in the chemical store. As it burned, 250 J was transferred by lighting to the surrounding​
    13·1 answer
  • Which accurately completes the statement? Conduction involves the transfer of electric charge or due to the movement of particle
    14·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!