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
Triss [41]
3 years ago
6

A large stick is pivoted about one end and allowed to swing back and forth with no friction as a physical pendulum. The mass of

the stick is 4.8 kg and its center of gravity (found by finding its balance point) is 1.4 m from the pivot. If the period of the swinging stick is 9 seconds, what is the moment of inertia of the stick about an axis through the pivot
Physics
1 answer:
Tamiku [17]3 years ago
5 0

Answer:

I = 94.33 kg m^2

Explanation:

Let say the rod is slightly pulled away from its equilibrium position

So here net torque on the rod due to its weight is given as

\tau = mg dsin\theta

since rod is pivoted at distance of 1.4 m from centre of gravity

so its moment of inertia about pivot point is given as

Inertia = I

now we have

I \alpha = mg d sin\theta

now for small angular displacement we will have

\alpha = \frac{mgd}{I}\theta

so angular frequency of SHM is given as

\omega = \sqrt{\frac{mgd}{I}}

now we will have

\frac{2\pi}{9} = \sqrt{\frac{4.8(9.8)1.4}{I}

I = 94.33 kg m^2

You might be interested in
Celine has raised the temperature of water to 100°C in order to cook pasta for her lasagna. What physical property is Celine dem
LuckyWell [14K]

Answer:

imma need a few answer choices so i can do my research

Explanation:

Please any thank you

5 0
2 years ago
A horizontal 810-N merry-go-round of radius 1.60 m is started from rest by a constant horizontal force of 55 N applied tangentia
Sloan [31]

Answer:

576 joules

Explanation:

From the question we are given the following:

weight = 810 N

radius (r) = 1.6 m

horizontal force (F) = 55 N

time (t) = 4 s

acceleration due to gravity (g) = 9.8 m/s^{2}

K.E = 0.5 x MI x ω^{2}

where MI is the moment of inertia and ω is the angular velocity

MI = 0.5 x m x r^2

mass = weight ÷ g = 810 ÷ 9.8 = 82.65 kg

MI = 0.5 x 82.65 x 1.6^{2}

MI = 105.8 kg.m^{2}

angular velocity (ω) = a x t

angular acceleration (a) = torque ÷ MI

where torque = F x r = 55 x 1.6 = 88 N.m

a= 88 ÷ 105.8 = 0.83 rad /s^{2}

therefore

angular velocity (ω) = a x t = 0.83 x 4 = 3.33 rad/s

K.E = 0.5 x MI x ω^{2}

K.E = 0.5 x 105.8 x 3.33^{2} = 576 joules

6 0
3 years ago
Tabitha is getting ready for a family trip by getting her clothes and toys together. She suddenly gets concerned and tells her m
Kisachek [45]
The answer is Hypothesis because she can predict that she needs a bigger bag
7 0
3 years ago
Read 2 more answers
How does laser works ?<br>​
erastova [34]

Explanation:

Lasers produce a narrow beam of light in which all of the light waves have very similar wavelengths. The laser's light waves travel together with their peaks all lined up, or in phase. This is why laser beams are very narrow, very bright, and can be focused into a very tiny spot.

6 0
2 years ago
you get a flat tire on her car while driving. You use a jack to change the tire. It exerts a force of 5,000 N to lift the car 0.
ch4aika [34]

Answer:

b is the anwser

Explanation:

you are super

6 0
3 years ago
Other questions:
  • Forces are _______ which means they need to be determined by not only their numeric value (amount of force in Newton's) but also
    5·1 answer
  • What was the significance of the double-slit experiment? A. It showed that light had wave properties. B. It first demonstrated t
    8·1 answer
  • Radiant energy travels in straight lines until it strikes an object where it can be ______,_____or transmitted
    12·1 answer
  • A 5-kg object slides down a frictionless surface inclined at an angle of 30º from the horizontal. The total distance moved by th
    6·1 answer
  • PLEASE HELP ASAP!!! CORRECT ANSWER ONLY PLEASE!!! I CANNOT RETAKE THIS!!
    14·1 answer
  • Abby is writing a biography of Isaac Newton. He was a brilliant English scientist who developed the law of universal gravitation
    5·1 answer
  • Which of the following is a term for the process of rock being broken down into pieces by wind or moving water?
    7·2 answers
  • Pleaseeeee help!! It’s due very soon
    15·1 answer
  • Need help asap
    7·1 answer
  • A 62.3 N force pulls an object at an angle of 9 = 22.0° to its direction of horizontal motion. It moves a
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!