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
ikadub [295]
3 years ago
7

Returning once again to our table top example of a horizontal mass on a low-friction surface with m = 0.254 kg and k = 10.0 N/m

with damping characterized by y = 0.628 (1/s). If Fo = 0.5 N, calculate A and d for the following values of w: 0.628 rad/s, 3.14 rad/s, 6.28 rad/s, and 9.42 rad/s.
Physics
1 answer:
Julli [10]3 years ago
5 0

Explanation:

Given that,

Mass = 0.254 kg

Spring constant [tex[\omega_{0}= 10.0\ N/m[/tex]

Force = 0.5 N

y = 0.628

We need to calculate the A and d

Using formula of A and d

A=\dfrac{\dfrac{F_{0}}{m}}{\sqrt{(\omega_{0}^2-\omega^{2})^2+y^2\omega^2}}.....(I)

tan d=\dfrac{y\omega}{(\omega^2-\omega^2)}....(II)

Put the value of \omega=0.628\ rad/s in equation (I) and (II)

A=\dfrac{\dfrac{0.5}{0.254}}{\sqrt{(10.0^2-0.628)^2+0.628^2\times0.628^2}}

A=0.0198

From equation (II)

tan d=\dfrac{0.628\times0.628}{((10.0^2-0.628)^2)}

d=0.0023

Put the value of \omega=3.14\ rad/s in equation (I) and (II)

A=\dfrac{\dfrac{0.5}{0.254}}{\sqrt{(10.0^2-3.14)^2+0.628^2\times3.14^2}}

A=0.0203

From equation (II)

tan d=\dfrac{0.628\times3.14}{((10.0^2-3.14)^2)}

d=0.0120

Put the value of \omega=6.28\ rad/s in equation (I) and (II)

A=\dfrac{\dfrac{0.5}{0.254}}{\sqrt{(10.0^2-6.28)^2+0.628^2\times6.28^2}}

A=0.0209

From equation (II)

tan d=\dfrac{0.628\times6.28}{((10.0^2-6.28)^2)}

d=0.0257

Put the value of \omega=9.42\ rad/s in equation (I) and (II)

A=\dfrac{\dfrac{0.5}{0.254}}{\sqrt{(10.0^2-9.42)^2+0.628^2\times9.42^2}}

A=0.0217

From equation (II)

tan d=\dfrac{0.628\times9.42}{((10.0^2-9.42)^2)}

d=0.0413

Hence, This is the required solution.

You might be interested in
What is the equivalent resistance for a series circuit with three resistors : 5.0 ohms, 2.0 ohms, and 12.0 ohms
vesna_86 [32]

Answer:19ohms

Explanation:

equivalent resistance=5+2+12

equivalent resistance=19ohms

8 0
3 years ago
A bike travels at a constant speed for 4.00 m/s for 5.00 seconds. How far does it go
kicyunya [14]

Answer:

20 metres

Explanation:

<em>Speed</em><em> </em><em>=</em><em> </em><em>distance</em><em> </em><em>÷</em><em> </em><em>time</em>

<em> </em>

<em>s =  \frac{d}{t}</em>

If we substitute the values:

4 =  \frac{d}{5}

<em>20 = d</em>

3 0
3 years ago
Read 2 more answers
A stable, binary ionic compound exists where the cation (A) has a charge twice in magnitude than that of the anion (X). What wou
svetlana [45]
<span>The cation is positively charged and has a charge twice that of the anion, for example +2. The anion is negatively charged and in our example where the cation has a +2 charge, it must have a -1 charge. In order for the charges to equal zero, there must be two anions: -1 x 2 = -2 So the answer is D. AX2</span>
8 0
3 years ago
Read 2 more answers
Which statement accurately describes impulse?<br> State corrrect answer from the choices
zhuklara [117]

Answer:

5354..

Explanation:

6 0
3 years ago
The table shows the commonly eaten foods of some groups of organisms.
rodikova [14]

Answer: A and B

Explanation:

took the test:) hope this helps

6 0
3 years ago
Other questions:
  • A 1000-kg car is moving along a straight road down a 30∘30∘ slope at a constant speed of 20.0m/s20.0m/s. What is the net force a
    7·1 answer
  • A 4.00-kg box sits atop a 10.0-kg box on a horizontal table. The coefficient of kinetic friction between the two boxes and betwe
    12·1 answer
  • Which statements describe Rutherford model of the atom
    14·2 answers
  • Compute the moon's centripetal acceleration in its orbit around the earth. Recall that the moon orbits the earth every 28.0 ����
    9·1 answer
  • In what way is a screw similar to an inclined plane?
    10·2 answers
  • Jenny was applying her makeup when she drove into the student parking lot last Friday morning . Unaware that Cheryl was stopped
    15·1 answer
  • If the period of the wave is 0.34 seconds what would be the frequency of the wave
    14·1 answer
  • Questions:
    11·2 answers
  • Which statement is true about the reaction shown by this chemical equation?
    10·1 answer
  • PLS HELP THIS IS WORTH 180 PTS!!(PLUS I WILL MARK BRAINIEST IF SOMEONE ANSWERS CORRECTY FIRST)
    12·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!