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
sammy [17]
3 years ago
11

Compute the fundamental natural frequency of the transverse vibration of a uniform beam of rectanqular cross section, with one e

nd of the beam is free and one end is fixed. The cross section has a base of 100 mm and height of 300 mm, length of the beam is 5.9 m, E=20.5x10^10 N/m2 and density of 7830 kg/m3. Write your answer in rad/sec with 2 decimal points.

Engineering
2 answers:
marshall27 [118]3 years ago
8 0

Answer:

The natural angular frequency of the rod is 53.56 rad/sec

Explanation:

Since the beam is free at one end and fixed at the other hence the beam is a cantilevered beam as shown in the attached figure

We know that when a unit force is placed at the end of a cantilever the displacement of the free end is given by

\Delta x=\frac{PL^3}{3EI}

Hence we can write

P=\frac{3EI\cdot \Delta x}{L^3}

Comparing with the standard spring equation F=kx we find the cantilever analogous to spring with k=\frac{3EI}{L^3}

Now the angular frequency of a spring is given by

\omega =\sqrt{\frac{k}{m}}

where

'm' is the mass of the load

Thus applying values we get

\omega _{beam}=\sqrt{\frac{\frac{3EI}{L^{3}}}{Area\times density}}

\omega _{beam}=\sqrt{\frac{\frac{3\times 20.5\times 10^{10}\times \frac{0.1\times 0.3^3}{12}}{5.9^{3}}}{0.3\times 0.1 \times 7830}}=53.56rad/sec

Harman [31]3 years ago
8 0

Answer:

its a lil confusing

Explanation:

You might be interested in
In this type of projection, the angles between the three axes are different:- A) Isometric B) Axonometric C) Trimetric D) Dimetn
nekit [7.7K]

Answer:

The correct answer is C) Trimetric

Explanation:

The most suitable answer is a trimetric projection because, in this type of projection, we see that the projection of the three angles between the axes are not equal. Therefore, to generate a trimetric projection of an object, it is necessary to have three separate scales.

7 0
3 years ago
What is definition of<br>computational fluid Dynamics <br>unstructured grid <br>domain<br>geometry​
Keith_Richards [23]
Najsjjsjhshehdhdhdhdhhdhdhdhdhhd
6 0
3 years ago
Which material has the highest cp value?
Nataly [62]

Answer: B. Water

Explanation:

6 0
2 years ago
Steam at a pressure of 100 bar and temperature of 600 °C enters an adiabatic nozzle with a velocity of 35 m/s. It leaves the noz
butalik [34]

Answer:

Exit velocity V_2=1472.2 m/s.

Explanation:

Given:

At inlet:

P_1=100 bar,T_=600°C,V_1=35m/s

Properties of steam at 100 bar and 600°C

        h_1=3624.7\frac{KJ}{Kg}

At exit:Lets take exit velocity V_2

We know that if we know only one property inside the dome  then we will find the other property by using steam property table.

Given that dryness or quality of steam at the exit of nozzle  is 0.85 and pressure P=80 bar.So from steam table we can find the other properties.

Properties of saturated steam at 80 bar

   h_f= 1316.61\frac{KJ}{Kg} ,h_g= 2757.8\frac{KJ}{Kg}

So the enthalpy of steam at the exit of turbine  

h_2=h_f+x(h_g-h_f)\frac{KJ}{Kg}

h_2=1316.61+0.85(2757.8-1316.61)\frac{KJ}{Kg}

 h_2=2541.62\frac{KJ}{Kg}

Now from first law for open system

h_1+\dfrac{V_1^2}{2}+Q=h_2+\dfrac{V_2^2}{2}+w

In the case of adiabatic nozzle Q=0,W=0

3624.7+\dfrac{35^2}{2000}+0=2541.62+\dfrac{(V_2)^2}{2000}+0

V_2=1472.2 m/s

So Exit velocity V_2=1472.2 m/s.

4 0
3 years ago
4. The outer end of a control arm is attached to the steering knuckle through a
arlik [135]
Is attached to the spring
3 0
3 years ago
Read 2 more answers
Other questions:
  • The velocity of a point mass that moves along the s-axis is given by s' = 40 - 3t^2 m/s, where t is in seconds. Find displacemen
    7·1 answer
  • Write down the equation for the stoichiometric combustion of propane (C3H8).
    6·1 answer
  • Which engineers are requried to have a PE (professional engineer) license?
    13·2 answers
  • The following sentence can be categorized as what stage in the Scientific Method: Abraham notices that Saharan desert ants will
    6·1 answer
  • Select the correct answer.
    6·1 answer
  • Entor" by
    9·1 answer
  • A parallel circuit has a resistance of 280 and an inductive reactance of 360 02. What's this circuit's impedance?
    6·1 answer
  • True or false for the 4 questions?
    8·1 answer
  • How do you get your drivers lisnes when your 15
    8·1 answer
  • Which of the following is most likely to require changes to existing zoning laws?
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!