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
irinina [24]
3 years ago
7

A round steel shaft is subjected to a concentrated moment M=1000 lbf.in at point B, which is located at distances a=8,b=9 in fro

m either end. Modulus E=30 Mpsi. The shaft is mounted on bearings that cannot tolerate a slope in excess of θ=0.002 rad. The bearings can be assumed to behave as simple supports. Calculate: ∙ The minimum diameter d required so that the slope at the supports does not exceed the limit.
Physics
1 answer:
viva [34]3 years ago
3 0

Answer:

dmin = 1.4374in

Explanation:

In the question, it says slope at the support should not exceed the limit. When such a sentence is given always use the <u>maximum value of the property</u>. So here the maximum moment of inertia is used.

θ₁ = Pb(l² – b²)/6lEI

0.002 = 1000 x 8 x (142 - 82)/6 x 14 x 30 x 10⁶ x I₁

I₁ = 0.209523 in⁴

θ₂ = Pab(2l - b)/6lEI

0.002 = 1000 x 6 x 8 x (28 - 8)/6 x 14 x 30 x 10⁶ I2

I₂ = 0.190476 in⁴

<u>For design point of considerations, taking higher value of M.I, which is I₁</u>

I₁ = 0.209523 = (π/64) x d⁴

d⁴ = 4.2683

dmin = 1.4374in

You might be interested in
The position of a particle is given by ~r(t) = (3.0 t2 ˆi + 5.0 ˆj j 6.0 t kˆ) m
Julli [10]

Answer:

v=(6ti+6k)\ m/s

Explanation:

Given that,

The position of a particle is given by :

r(t) = (3.0 t^2 i + 5.0j+ 6.0 tk) m

Let us assume we need to find its velocity.

We know that,

v=\dfrac{dr}{dt}\\\\=\dfrac{d}{dt}(3.0 t^2 i + 5.0j+ 6.0 tk) \\\\=(6ti+6k)\ m/s

So, the velocity of the particle is (6ti+6k)\ m/s.

5 0
3 years ago
What is the formula for the moment of inertia of the person/single particle rotating in a circle? (Give these values with a subs
Ann [662]

Moment of inertia of single particle rotating in circle is I1 = 1/2 (m*r^2)

The value of the moment of inertia when the person is on the edge of the merry-go-round is I2=1/3 (m*L^2)

Moment of Inertia refers to:

  • the quantity expressed by the body resisting angular acceleration.
  • It the sum of the product of the mass of every particle with its square of a distance from the axis of rotation.

The moment of inertia of single particle rotating in a circle I1 = 1/2 (m*r^2)

here We note that the,

In the formula, r being the distance from the point particle to the axis of rotation and m being the mass of disk.

The value of the moment of inertia when the person is on the edge of the merry-go-round is determined with parallel-axis theorem:

I(edge) = I (center of mass) + md^2

d be the distance from an axis through the object’s center of mass to a new axis.

I2(edge) = 1/3 (m*L^2)

learn more about moment of Inertia here:

<u>brainly.com/question/14226368</u>

#SPJ4

7 0
2 years ago
Problem PageQuestion A cylinder measuring 2.3cm wide and 2.7cm high is filled with gas. The piston is pushed down with a steady
Alexandra [31]
Jehedhdhsh dbdbdbdbdbdbdbebddnsbdb
Dhdhdbdbdbdbdhfhbdbddbdbdbdbdbdbsbsbsbdbdbdb d s DVD’s
8 0
3 years ago
What is another example of convection
Nimfa-mama [501]
Radiator. A radiator puts warm air out at the top and draws in cooler air at the bottom. steaming cup of hot tea - The steam you see when drinking a cup of hot tea indicates that heat is being transferred into the air. ice melting/Ice melts because heat moves to the ice from the air
5 0
3 years ago
Read 2 more answers
What happens if you reverse the galaxy motion and go back in time?
bulgar [2K]
It’s called mirror universe
7 0
3 years ago
Other questions:
  • A 750 Watt hairdryer is used for 15 minutes. Calculate the Kwhr used. Calculate the cost to use 15 min. every day for 1 year @ 8
    7·2 answers
  • Which of the following would increase friction?
    9·1 answer
  • A road with a positive cross slope is highest __________.
    8·1 answer
  • 60mil/hr to m/s convert
    14·1 answer
  • Find the speed of a wave that has a wavelength of 6.0 m and a frequency of 2.0 Hz. V=?
    9·1 answer
  • Star x has twice the mass of the sun
    12·1 answer
  • In a real system of levers, wheels, or pulleys, the AMA is less than the IMA because _____.
    13·2 answers
  • What is an advantage of using an electromagnet rather than a regular magnet
    10·2 answers
  • Two solutions, Solutions A and Solution B, are tested and found to have pH values of 3.0 and 7.0 respectively. Which statement b
    8·1 answer
  • Letícia leaves the grocery store and walks 150. 0 m to the parking lot. Then, she turns 90° to the right and walks an additional
    9·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!