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andre [41]
3 years ago
5

Assume that the system described by the differential equation mu+γ u+ku = 0 is critically damped and that the initial conditions

are u(0) = u0, u(0) = v0. If v0 = 0, show that u → 0 as t → [infinity] but that u is never zero. If u0 is positive, determine a condition on v0 that will ensure that the mass passes through its equilibrium position after it is released.

Physics
1 answer:
brilliants [131]3 years ago
3 0

Answer:

V(o) < -[γu(o)]/2m

Explanation:

I've attached the explanation.

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Alex is asked to move two boxes of books in contact with each other and resting on a rough floor. He decides to move them at the
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Answer:

Part a)

a= 0.32 m/s^2

Part b)

F_c = 3.6 N

Part c)

F_c = 5.5 N

Explanation:

Part a)

As we know that the friction force on two boxes is given as

F_f = \mu m_a g + \mu m_b g

F_f = 0.02(10.6 + 7)9.81

F_f = 3.45 N

Now we know by Newton's II law

F_{net} = ma

so we have

F_p - F_f = (m_a + m_b) a

9.1 - 3.45 = (10.6 + 7) a

a = \frac{5.65}{17.6}

a= 0.32 m/s^2

Part b)

For block B we know that net force on it will push it forward with same acceleration so we have

F_c - F_f = m_b a

F_c = \mu m_b g + m_b a

F_c = 0.02(7)(9.8) + 7(0.32)

F_c = 3.6 N

Part c)

If Alex push from other side then also the acceleration will be same

So for box B we can say that Net force is given as

F_p - F_f - F_c = m_b a

9.1 - 0.02(7)(9.8) - F_c = 7(0.32)

F_c = 9.1 - 0.02 (7)(9.8) - 7(0.32)

F_c = 5.5 N

3 0
3 years ago
Which gives the kinetic energy of a descending yo-yo?
matrenka [14]
A five pushing and letting go of the yoyo
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Different ____ of an element have different numbers of neutrons
Leona [35]

The Answer is B. Isotopes

5 0
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Lesson 11: electricity &amp; magnetism unit test physical science b unit 5: electricity and magnetism (connexus)
vovikov84 [41]

Electricity and magnetism can be considered as part of the same phenomenon because both are generated by electromagnetic forces.

<h3>What is electricity?</h3>

Electricity is the movement or flow of negatively charged electrons through a suitable conductor where a charge is applied.

Moreover, magnetism is a natural phenomenon caused by the generation/movement of electric charges.

In conclusion, electricity and magnetism can be considered as part of the same phenomenon because both are generated by electromagnetic forces.

Learn more on electricity and magnetism here:

brainly.com/question/25144822

#SPJ1

5 0
2 years ago
Two gliders collide on a frictionless air track that is aligned along the x axis. Glider A has an initial velocity v0 and glider
LenaWriter [7]

Answer:

Explanation:

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mA v0 + 0 = mA x 12v0 + mB x 92v0

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3 years ago
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