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2 years ago

Thirty-eight and ninety seven hundredths in standard form

Mathematics

2 answers:

kvv77 [185]2 years ago

8 0

The answer for that problem is 38.97

mr_godi [17]2 years ago

4 0

Thirty-eight is 38

Ninety seven hundredths is 0.97

So the whole thing would be 38.97

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Answer:

A) C1 = 0.00187 m = 0.187 cm, C2 = 0.0062 m = 0.62 cm

B) A sample of how the graph looks like is attached below ( periodic sine wave )

C) w = $\sqrt[4]{3}$ is when the amplitude of the forced response is maximum

Step-by-step explanation:

Given data :

mass = 5kg

length of spring = 10 cm = 0.1 m

f(t) = 10sin(t) N

viscous force = 2 N

speed of mass = 4 cm/s = 0.04 m/s

initial velocity = 3 cm/s = 0.03 m/s

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y = viscous force / speed = 2 N / 0.04 m/s = 50 N sec/m

spring constant = mg/ Length of spring = (5 * 9.8) / 0.1 = 490 N/m

f(t) = 10sin(t/2) N

using the initial conditions of u(0) = 0 m and u"(0) = 0.03 m/s to express the equation of motion

the equation of motion = 5u" + 50u' + 490u = 10sin(t/2)

A) finding the solution of the initial value

attached below is the solution and

B) attached is a periodic sine wave replica of how the grapgh of the steady state solution looks like

C attached below

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2 years ago