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
Zolol [24]
3 years ago
6

A 2.00 kg mass is located at (4.00 m, 0.00 m, 0.00 m) and a 4.00 kg mass is located at (0.00 m, 3.00 m, 0.00 m). If this system

of masses rotated about the Z-axis perpendicular to the X-Y plane, then the moment of inertia of this system is:_______
Physics
1 answer:
Eduardwww [97]3 years ago
5 0

Answer:

The moment of inertia of this system is 68 kilogram-square meters.

Explanation:

We have two particles rotating about the z-axis, which is orthogonal to xy plane, the moment of inertia of the system (I_{z}), measured in kilogram-square meters, is determined by the following formula:

I_{z} = \Sigma \limits_{i=1}^{2}m_{i}\cdot r_{i} (1)

Where:

m_{i} - Mass of the i-th particle, measured in kilograms.

r_{i} - Distance of the i-th particle from axis of rotation, measured in meters.

By Pythagorean Theorem we calculate each distance:

(x_{1}, y_{1}, z_{1}) = (4\,m, 0\,m,0\,m)

r_{1}=\sqrt{(4\,m-0\,m)^{2}+(0\,m-0\,m)^{2}+(0\,m-0\,m)^{2}}

r_{1} = 4\,m

(x_{2},y_{2}, z_{2}) = (0\,m, 3\,m, 0\,m)

r_{2} = \sqrt{(0\,m-0\,m)^{2}+(3\,m-0\,m)^{2}+(0\,m-0\,m)^{2}}

r_{2} = 3\,m

If we know that m_{1} = 2\,kg, r_{1} = 4\,m, m_{2} = 4\,kg and r_{2} = 3\,m, then the moment of inertia of the system is:

I_{z} = m_{1}\cdot r_{1}^{2}+m_{2}\cdot r_{2}^{2} (1b)

I_{z} = (2\,kg)\cdot (4\,m)^{2}+(4\,kg)\cdot (3\,m)^{2}

I_{z} = 68\,kg\cdot m^{2}

The moment of inertia of this system is 68 kilogram-square meters.

You might be interested in
Plz answer this very soon
tester [92]

Answer:

Im gonna say it is answer A:) Hope this helps!

Explanation:

6 0
3 years ago
Read 2 more answers
Hey what is magnetic field<br><br><br><br><br><br><br>​
natima [27]

Answer:

<h3>A magnetic field is a picture that we use as a tool to describe how the magnetic force is distributed in the space around and within something magnetic. Explain. Most of us have some familiarity with everyday magnetic objects and recognize that there can be forces between them.</h3>

Explanation:

<h2>Plz add as brainlist </h2>
8 0
2 years ago
Each time the heart beats,what does it do to the blood
Tom [10]
Your blood runs through your blood stream, every vein in your body. without that heartbeat the blood would not make it to the required places it needs to run to and you will lose oxygen and parts of your body and organs will shut down.
6 0
3 years ago
A runner completes the 300-meter dash in 38 seconds. What is the speed of the runner? Round your answer the answer to the neares
loris [4]

Answer:

speed = 7.9 m/s

Explanation:

speed = total distance / time taken

speed = 300 / 38

speed = 7.89473684 m/s

to the nearest tenth

speed = 7.9 m/s

6 0
3 years ago
The first step of the scientific method is to _______________.
chubhunter [2.5K]
The first step of the scientific method is to MAKE OBSERVATIONS
4 0
3 years ago
Other questions:
  • please solve this for me ,A garden roller is pulled with a force of 200N acting at an angle of 50 degree with the ground level.f
    11·1 answer
  • A sky diver steps from a high-flying helicopter. if there were not air resistance, how fast would she be falling at the end of a
    12·1 answer
  • a projectile is fired in such away that its horizontal range is equal to three times its naximum height.what is the angle of pro
    9·1 answer
  • At what time of year is the intensity of solar radiation striking each of earth's hemispheres weakest?
    6·1 answer
  • What is the relationship between the line current i l and the phase current i1 in a balanced delta system?
    12·1 answer
  • True or false: When an object becomes polarized, it acquires a charge and becomes a charged object.​
    7·1 answer
  • A 2.5kg metal bar is quenched from 800°C by immersion in a closed insulated tank of water containing 50 litres of water initiall
    6·1 answer
  • What acceleration will a force of 20 newtons cause if applied to a go-kart with a mass of 20 kilograms?
    11·1 answer
  • Light travels in a straight line at a constant speed of 3.0 x 10 8 m/s for 4.1
    15·1 answer
  • If an object has an initial velocity wouldn’t hit the ground first then a other object with no initial velocity
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!