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
Ostrovityanka [42]
3 years ago
5

Four identical particles of mass 0.980 kg each are placed at the vertices of a 4.14 m x 4.14 m square and held there by four mas

sless rods, which form the sides of the square. What is the rotational inertia of this rigid body about an axis that (a) passes through the midpoints of opposite sides and lies in the plane of the square, (b) passes through the midpoint of one of the sides and is perpendicular to the plane of the square, and (c) lies in the plane of the square and passes through two diagonally opposite particles?
Physics
1 answer:
Zielflug [23.3K]3 years ago
8 0

Answer:

a) The rotational inertia when it passes through the midpoints of opposite sides and lies in the plane of the square is 16.8 kg m²

b) I = 50.39 kg m²

c) I = 16.8 kg m²

Explanation:

a) Given data:

m = 0.98 kg

a = 4.14 * 4.14

The moment of inertia is:

I=mr^{2} \\r=\frac{a}{2} \\I=m(a/2)^{2} \\I=\frac{ma^{2} }{4}

For 4 particles:

I=4(\frac{ma^{2} }{4} )=ma^{2} =0.98*(4.14)^{2} =16.8kgm^{2}

b) Distance from top left mass = x = a/2

Distance from bottom left mass = x = a/2

Distance from top right mass = x = √5 (a/2)

The total moment of inertia is:

I=m(\frac{a}{2} )^{2} +m(\frac{a}{2} )^{2}+m(\frac{\sqrt{5a} }{2} )^{2}+m(\frac{\sqrt{5a} }{2} )^{2}=\frac{12ma^{2} }{4} =3ma^{2} =3*0.98*(4.14)^{2} =50.39kgm^{2}

c)

I=2m(\frac{m}{\sqrt{2} } )^{2} =ma^{2} =0.98*(4.14)^{2} =16.8kgm^{2}

You might be interested in
A tennis player smashes a ball of mass m horizontally at a vertical wall. The ball rebounds at the same speed v with which it st
jeka57 [31]

Answer:

The magnitude of change in momentum is (2mv).

Explanation:

The momentum of an object is given by the product of mass and velocity with which it is moving.

Let the mass of ball is m. A tennis player smashes a ball of mass m horizontally at a vertical wall. The ball rebounds at the same speed v with which it struck the wall.

Initial speed of the ball is v and final speed, when it rebounds, is (-v). The change in momentum is given by :

p = final momentum - initial momentum

p=-mv-mv\\\\p=-2mv

So, the magnitude of change in momentum is (2mv).

3 0
3 years ago
How many light sources do you know <br> Pls list them
Alex73 [517]
The sun is the primary source of light. Other artificial sources are light bulb, torch light and some others. Thats all i can think of.
8 0
3 years ago
Read 2 more answers
an object is producing a sound that has a wavelength in air of 2.69m. If the speed of sound in air is 346m/s, what is the freque
Misha Larkins [42]

Answer:

129.74 Hz

Explanation:

Given:

Wave velocity ( v ) = 346 m / sec

wavelength ( λ ) = 2.69 m

We have to calculate Frequency ( f ) :

We know:

v = λ / t [ f = 1 / t ]

v = λ f

= > f = v / λ

Putting values here we get:

= > f = 346 / 2.69 Hz

= > f = 34600 / 269 Hz

= > f = 129.74 Hz

Hence, frequency of sound is 129.74 Hz.

5 0
2 years ago
True or False: For a longitudinal wave, the wavelength is the distance between compressions.
Schach [20]

Answer:

false....

Explanation:

brainliest

5 0
3 years ago
A rock is dropped from a sea cliff and hits the water 3.2s later. How high is the cliff? How long would it take sound to travel
Kruka [31]
<span>A rock is dropped from a sea cliff and hits the water 3.2s later. How high is the cliff?

t = sqrt(2y/g)
3.2 = sqrt(2y/9.81)
y = 50.23 m

</span><span>How long would it take sound to travel the same distance?
t = 50.23 / </span><span>343 m/s
t = 0.15 s

</span><span>How long would it take light to travel this distance? 
t = 50.23 / </span><span>299 792 458 m / s
t = 1.68x10^-7 s</span>
4 0
3 years ago
Other questions:
  • Calculate the broadcast wavelength of the radio station 99.90 fm. seconds
    9·1 answer
  • How many galaxies are present in the observable universe?
    8·2 answers
  • Question 5
    11·1 answer
  • The amount of matter (mass) in a given unit volume
    8·1 answer
  • A sled is pulled up to the top of a hill. At thetop of the hill the sled is released from rest and allowed to coastdown the hill
    15·1 answer
  • A uniformly charged sphere has a potential on its surface of 450 V. At a radial distance of 7.2 m from this surface, the potenti
    8·1 answer
  • Which sI units are combined to describe force?
    12·2 answers
  • What is the weight in newtons of a 10 kg mass on the earth's<br> surface?
    13·2 answers
  • True or False. The Magnitude of the induced voltage in a coil of wire depends on how quickly the magnetic flux through the coil
    10·2 answers
  • A car has a force of 2000N and a mass of 1000kg. What is the acceleration
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!