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
allsm [11]
2 years ago
15

5. A hollow cylinder of mass m, radius Rc, and moment of inertia I = mRc2 is pushed against a spring (with spring constant k) co

mpressing it by a distance d. It is then released and rolls without slipping on a track, and through a vertical loop of radius RL. Assume RC << RL
(a) When the cylinder reaches the top of the vertical loop, what is the minimum (linear) speed it must have to avoid falling off? Draw a free-body diagram to support your answer.
(b) What is the minimum compression of the spring necessary to prevent the cylinder falling off?
(c) Perform two “Cross-checks” on you solutions to check the validity of your solution, and/or examine the behavior of the system.

Physics
1 answer:
Makovka662 [10]2 years ago
8 0

Explanation:

(a) Draw a free body diagram of the cylinder at the top of the loop.  At the minimum speed, the normal force is 0, so the only force is weight pulling down.

Sum of forces in the centripetal direction:

∑F = ma

mg = mv²/RL

v = √(g RL)

(b) Energy is conserved.

EE = KE + RE + PE

½ kd² = ½ mv² + ½ Iω² + mgh

kd² = mv² + Iω² + 2mgh

kd² = mv² + (m RC²) ω² + 2mg (2 RL)

kd² = mv² + m RC²ω² + 4mg RL

kd² = mv² + mv² + 4mg RL

kd² = 2mv² + 4mg RL

kd² = 2m (v² + 2g RL)

d² = 2m (v² + 2g RL) / k

d = √[2m (v² + 2g RL) / k]

You might be interested in
Someone can help me pls <br><br> Is physical science class
pentagon [3]

Answer:

<em> I can't see the picture</em>

Explanation:

6 0
3 years ago
The line graph below shows the number of downloads of two songs after
daser333 [38]

Answer: D

1200

Explanation:

Song 1 is spotted with a cube sign.

At 3 minute, trace the spot to the vertical axis. And you will notice that it a little bit above 10.

Since it is above 10, let assume it is equal to 12.

The number of song downloaded are in hundreds. Therefore, multiply the 12 by 100

12 × 100 = 1200 downloads

Approximately, song 1 has 1200 downloads at minute 3

5 0
2 years ago
What are the wavelengths of electromagnetic wave in free space that have the following frequencies?.
irina [24]

The wavelengths of the light are 4.3 * 10^-12 m and 0.2 m respectively.

<h3>What is wavelength?</h3>

The term wavelength has to do with the horizontal distance that is covered by a wave. We know that a long wavelength implies that the wave is able to travel a long distance from one point to another.

Given that;

c = λf

c = speed of light

λ = wavelength of ight

f = frequency of light

Thus;

λ = 3 * 10^8/ 7.00 x 10^19

λ = 4.3 * 10^-12 m

λ = 3 * 10^8/1.50 x 10^9

λ = 2 * 10^-1 or 0.2 m

Learn more about wavelength:brainly.com/question/13533093

#SPJ1

Missing parts:

What are the wavelengths of electromagnetic wave in free space that have the following frequencies? (a) 7.00 x 10^19 Hz______ pm (b) 1.50 x 10^9 Hz__________ cm

7 0
1 year ago
Read 2 more answers
3) show thal escape veloerty ve where symbols have their usual meaning?​
murzikaleks [220]

Answer:

v = \sqrt{\frac{2GM}{r} }

The formula for escape velocity where:

G - Gravitational constant (9.81 etc.)

M - the mass of the object the escape should be made from

r - distance to the centre of that mass

8 0
2 years ago
Question 1 (1 point)
Juli2301 [7.4K]

Hello!

\large\boxed{800Ns}

Remember that impulse is equivalent to:

Impulse = force (N) × time (s)

Plug in the given force and time:

Impulse = 25 × 32

Impulse = 800 Ns

3 0
2 years ago
Other questions:
  • Writing a 4 to 5 sentence paragraph, identify YOUR stance on whether more Nuclear Reactors should be built here in Michigan. (1s
    6·1 answer
  • Why have fungi evolved mechanisms for dispersal of their spores
    8·1 answer
  • What are the properties of elements based on their placement on the periodic table?
    11·1 answer
  • Open the attached image to see the question.
    10·1 answer
  • An object in equilibrium has a net force of
    14·1 answer
  • Please help meh its due
    7·2 answers
  • What are one of the ways the atmosphere recycle gases through interactions with the biosphere?
    11·2 answers
  • When riding on a bus, you can tell you are moving by
    11·2 answers
  • PLEASE ANSWER! DESPERATE! WILL MARK BRAINLIEST!!
    12·1 answer
  • A particle is constrained to move round a circle radius 382400km and makes a single revolution in 27.3 days. (i). Find the veloc
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!