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
kirill115 [55]
3 years ago
5

A cylinder with moment of inertia I about its center of mass, mass m, and radius r has a string wrapped around it which is tied

to the ceiling (Figure 1) . The cylinder's vertical position as a function of time is y(t). At time t=0 the cylinder is released from rest at a height h above the ground.
A) The string constrains the rotational and translational motion of the cylinder. What is the relationship between the angular rotation rate ?and v, the velocity of the center of mass of the cylinder?
B) Remember that upward motion corresponds to positive linear velocity, and counterclockwise rotation corresponds to positive angular velocity.
C) Suppose that at a certain instant the velocity of the cylinder is v. What is its total kinetic energy, Ktotal, at that instant?
D) Suppose that at a certain instant the velocity of the cylinder is v. What is its total kinetic energy, Ktotal, at that instant?
Physics
1 answer:
NARA [144]3 years ago
5 0

Answer:

Explanation:

Let us study the downward  movement of cylinder which accelerates as well as rotates .

A)

If v be the linear downward velocity of cm of cylinder and ω be angular velocity of cylinder

v = ωr , when there is no slippage of string around cylinder.

B &C )

Total kinetic energy = Rotational + linear

= 1/2 Iω² + 1/2 m v²

1/2 x1/2 mr²ω² +1/2 m v²

= 1/4  mv² +1/2 m v²

= 3/4 m v²

For downward acceleration ,

mg - T = ma where T is tension in string.

Rotational movement

Torque = T x r

Tr = I α , I is moment of inertia and α is angular acceleration .

= I a/r

T = I a / r² , Putting this value of T in earlier equation

mg - I a / r²  = ma

a (I  / r² +m )= mg

a = mg /  (I  / r² +m )

For cylinders

I = .5 mr²

a = g / (.5 +1)

= g / 1.5

You might be interested in
Answer please 98 points also brainliest
Yuri [45]

the answer is D) The air in the aquarium is saturated

none of the other answers were realistic AND I took this before so I know the right answer.

5 0
3 years ago
Read 2 more answers
How many water (in kg) can raise its temperature from 23°C to 100°C by adding 21500 Joules of energy?
igomit [66]

Answer: Approximately 8.0g of water

Explanation:

4 0
2 years ago
When electrons are accelerated by 2450v in an electron microscope they will have wavelengths of
Sholpan [36]
I think the answer is A I’m
Not sure tho
5 0
2 years ago
What is a moment of a force
kirza4 [7]

Answer:

In physics and mechanics, torque is the rotational equivalent of linear force. It is also referred to as the moment, moment of force, rotational force or turning effect, depending on the field of study. The concept originated with the studies by Archimedes of the usage of levers

7 0
2 years ago
When water in a lake freezes, the ice that forms floats on top of any water that is still liquid. Why does the ice float?
ddd [48]

Answer:

it floats because the lake is cold at that moment so when part of the lake freezes it still remains solid and floats because of the lake and the surrounding of the lake is still cold

5 0
3 years ago
Other questions:
  • If a comet is close to the sun how fast might it travel?
    5·1 answer
  • Why are large astronomical bodies such as planets and stars round
    14·2 answers
  • The first part of the brain to be stimulated and affected by alcohol is the
    9·1 answer
  • ____ is rate of change of position.
    6·2 answers
  • After the box comes to rest at position x1, a person starts pushing the box, giving it a speed v1. When the box reaches position
    5·1 answer
  • When is the net force on an object equal to zero? A. When the object is in motion B. When the object is changing direction C. Wh
    5·1 answer
  • Explain non-duality in one sentence
    8·2 answers
  • a person Travels along a straight road for half the distance with velocity V1 and the remaining half the distance with velocity
    7·1 answer
  • In the graph, the dotted line represents potential energy and the solid line represents kinetic energy.
    14·1 answer
  • Riding a bicycle on a flat, smooth surface is a lot easier than riding it along a bumpy surface or up a hill. A bumpy surface cr
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!