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
andriy [413]
3 years ago
13

A wheel of radius R, mass M, and moment of inertia I is mounted on a frictionless, horizontal axles. A light cord wrapped around

the wheel supports an object of mass m. When the wheel is released, the object accelerates downwards, the cord unwraps off the wheel, and the wheel rotates with an angular acceleration. The cord is not slipping.
Physics
1 answer:
Alex_Xolod [135]3 years ago
8 0

Answer:

\alpha =\frac{m*g*R}{I-m*R^2}

a = \frac{m*g*R^2}{I-m*R^2}

T=\frac{I*m*g}{I-m*R^2}

Explanation:

By analyzing the torque on the wheel we get:

T*R=I*\alpha    Solving for T:   T=I/R*\alpha

On the object:

T-m*g = -m*a    Replacing our previous value for T:

I/R*\alpha-m*g = -m*a

The relation between angular and linear acceleration is:

a=\alpha*R

So,

I/R*\alpha-m*g = -m*\alpha*R

Solving for α:

\alpha =\frac{R*m*g}{I+m*R^2}

The linear acceleration will be:

a =\frac{R^2*m*g}{I+m*R^2}

And finally, the tension will be:

T =\frac{I*m*g}{I+m*R^2}

These are the values of all the variables: α, a, T

You might be interested in
Suppose that instead of being inclined to Earth's orbit around the Sun, the Moonâs orbit was in the same plane as Earthâs orbit
ycow [4]

Answer:

c) 12

Explanation:

A Solar eclipse occurs when The Sun, The Earth and The Moon comes in a straight line with the Moon being in between the Earth and the Sun. At this point the Moon appears to block the Sun and Moon's shadow falls on Earth. This would occur only on the day of the New Moon.

If the Moon's orbit was in the same plane as that of the Earth's orbit. Every new Moon, there would be a Solar Eclipse. The Lunar cycle is of 29.5 Days which means there will be one new Moon every month. So there will be 12 Solar Eclipses every year.

Currently, the orbit of the Moon is tilted at an angle of 5° thus we don't see that many Solar eclipses. Maximum of 5 solar eclipses can occur in an year.

6 0
3 years ago
Which two elements have the same number of valence electrons?
UNO [17]

Answer:

The answer is A. C and O..

4 0
3 years ago
Read 2 more answers
How do protons, neutrons and electrons determine the properties of the atoms??? HELP! NEED SCIENCE HELP FAST!!!!
Roman55 [17]
The number of protons determines the element. Many elements also have many isotopes. Such as carbon-14 Carbon-12 and carbon-10.
4 0
3 years ago
Earth's subsystems are the geosphere, atmosphere, hydrosphere, and biosphere. Energy and matter are transferred when Earth's sub
Leona [35]

Answer:

ok

Explanation:

The Earth is made of several subsystems or "spheres" that interact to form a complex and continuously changing whole called the Earth system. Scale

Processes operating in the Earth system take place on spatial scales varying from fractions of millimeters to thousands of kilometers, and on time scales that range from milliseconds to billions of years.

Examples of instantaneous - breathing; rotation of the Earth; earthquake

Examples of long term - making coal; plate tectonics

Cycles

The Earth system is characterized by numerous overlapping cycles in which matter is recycled over and over again. Cycles involve multiple spheres and systems interactions.

Examples of cycles: day and night; rock cycle; seasons

Energy

The Earth system is powered by energy from two major sources: the Sun and the planet's internal heat.

Humans and the Earth System

People are part of the Earth system and they impact and are impacted by its materials and processes.

6 0
3 years ago
Calculate the power of a car that does 50,000 J of work in 7s during a race
Fantom [35]
Answer =7,142.9W

I hope this helps (:
6 0
3 years ago
Other questions:
  • Over a period of one year, how much of the overall (night) sky would a Bellingham observer be able to see?
    10·1 answer
  • Using r.i.v.p. How do I calculate circuits wit 12 volts
    14·1 answer
  • Copper exists in nature as two isotopes. The atomic masses and relative abundance of these isotopes is given in the table. What
    9·1 answer
  • Unimpressed with your previous stunt, the director of the new James
    7·1 answer
  • Witch part of the ear is responsible for sending singnals about sound to the brain
    10·1 answer
  • A toy rocket moving vertically upward passes by a 2.0-m-high window whose sill is 8.0 m above the ground. The rocket takes 0.15
    9·1 answer
  • How do reflection and refraction of waves affect communication?​
    7·2 answers
  • Which type of electromagnetic radiation carries the most energy and has the highest frequency?
    15·2 answers
  • PSYW - Please Show Your Work
    8·1 answer
  • A SMALL cup of tea has water inside that is very hot, about 80 degrees Celsius. A LARGE bathtub has water inside it that is warm
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!