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GalinKa [24]
3 years ago
8

Use newton's method to find the second and third approximation of a root of

Physics
1 answer:
Nina [5.8K]3 years ago
5 0
Please answer this question 

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A mass weighing 4 lb stretches a spring 2 in. Suppose that the mass is given an additional 6-in displacement in the positive dir
givi [52]

Answer:

\frac{1}{8} y'' + 2y' + 24y=0

Explanation:

The standard form of the 2nd order differential equation governing the motion of mass-spring system is given by

my'' + \zeta y' + ky=0

Where m is the mass, ζ is the damping constant, and k is the spring constant.

The spring constant k can be found by

w - kL=0

mg - kL=0

4 - k\frac{1}{6}=0

k = 4\times 6 =24

The damping constant can be found by

F = -\zeta y'

6 = 3\zeta

\zeta = \frac{6}{3} = 2

Finally, the mass m can be found by

w = 4

mg=4

m = \frac{4}{g}

Where g is approximately 32 ft/s²

m = \frac{4}{32} = \frac{1}{8}

Therefore, the required differential equation is

my'' + \zeta y' + ky=0

\frac{1}{8} y'' + 2y' + 24y=0

The initial position is

y(0) = \frac{1}{2}

The initial velocity is

y'(0) = 0

6 0
3 years ago
IF ANYONE WOULD HELP ME AS FAST AS POSSIBLE CAUSE I HAVE TO SUBMIT THIS AT 11:59 and I wanna finish early to study for my quiz s
harina [27]

I think the answers are box #1 and #3. It is number one for a fact. However, it depends where the start is at #3.

8 0
3 years ago
Read 2 more answers
Which question asks for an opinion?
blsea [12.9K]

Answer:

C

Explanation:

It says is it a good idea the person so 1 person can say no and the other one can say yes so it is asks for a opinion

5 0
3 years ago
(c)
grigory [225]

Answer:

Both AC and DC describe types of current flow in a circuit. In direct current (DC), the electric charge (current) only flows in one direction. Electric charge in alternating current (AC), on the other hand, changes direction periodically.

7 0
2 years ago
In a solid , the atoms are tightly locked in position an do not change posistion , true or false
attashe74 [19]
the answer is true because they're so close together that they can't move they can't slide past each other or anything
6 0
3 years ago
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