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
Katyanochek1 [597]
3 years ago
5

A lightweight string is wrapped several times around the rim of a small hoop. If the free end of the string is held in place and

the hoop is released from rest, the string unwinds and the hoop descends. How does the tension in the string (T) compare to the weight of the hoop
Physics
1 answer:
MariettaO [177]3 years ago
5 0

Answer:

Explanation:

Let T be the tension

For linear motion of hoop downwards

mg -T = ma , m is mass of the hoop . a is linear acceleration of CG of hoop .

For rotational motion of hoop

Torque by tension

T x R ,      R is radius of hoop.

Angular acceleration be α,

Linear acceleration a = α R

So TR = I  α

= I  a / R

a = TR² / I

Putting this value in earlier relation

mg -T = m TR² / I

mg = T ( 1 + m R² / I )

T = mg / ( 1 + m R² / I )

mg / ( 1 + R² / k² )

Tension is less than mg or weight because denominator of the expression is more than 1.

You might be interested in
How are the sun and Earth's moon different?(2 points)
katovenus [111]

Answer: The Sun measures 1.4 million km across, while the Moon is a mere 3,474 km across. In other words, the Sun is roughly 400 times larger than the Moon. But the Sun also happens to be 400 times further away than the Moon, and this has created an amazing coincidence.

Explanation:

4 0
3 years ago
What type of transfer is affected by color
Mama L [17]

Heat transfer is affected by color.

7 0
3 years ago
How are the current and resistance related when the voltage if a circuit is constant
sveta [45]

Answer:

They are inversely proportional

Explanation:

3 0
2 years ago
A solid sphere of uniform density starts from rest and rolls without slipping down an inclined plane with angle θ = 30o. The sph
kondaur [170]
M*g*sin20-f=m*a 
<span>and the rotational frame </span>
<span>f*r=I*a/r </span>
<span>where f is the force of friction, a is the translational acceleration and I is the moment of inertia of the sphere </span>

<span>combine and solve for f </span>
<span>a=g*sin20-f/m </span>
<span>and </span>
<span>f*r^2/I=g*sin20-f/m </span>
<span>or </span>
<span>f=g*sin20/(r^2/I+1/m) </span>

<span>I=2*m*r^2/5 </span>
<span>therefore </span>
<span>f=2*m*g*sin20/7</span>
8 0
3 years ago
A spring whose stiffness is 980 N/m has a relaxed length of 0. 50 m. If the length of the spring changes from 0. 25 m to 0. 81 m
Gelneren [198K]

151.9j

Explanation:

PE=1/2kx^2

PE=1/2(980)(.50)= 245j

PE=(1/2)(980)(.81)= 396.9j

396.9- 245= 151.9j

8 0
2 years ago
Other questions:
  • An infinitely long cylinder of radius R has linear charge density λ. The potential on the surface of the cylinder is V0, and the
    9·1 answer
  • The rate at which an object's velocity changes is called its
    14·2 answers
  • A small particle starts from rest from the origin of an xy-coordinate system and travels in the xy-plane. Its acceleration in th
    12·2 answers
  • What if someone refers to a crystal's " habit" what are they referring to?
    7·1 answer
  • The magnetic dipole moment of Earth has magnitude 8.00 1022 J/T.Assume that this is produced by charges flowing in Earth’s molte
    13·1 answer
  • Stress distributed over an area is best described as: a) External force b) Axial force c) Radial force d) Internal resistive for
    11·1 answer
  • A 34n force is applied to a 213kg mass how much does the mass accelerate
    11·1 answer
  • What is unit of pressure?why is it called a derived unit ? give reasons​
    10·1 answer
  • Will give brainliest! 50 points!!!
    10·1 answer
  • Why do blades come in different lengths in a jig saw sander?​
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!