Can you please help me

Mathematics

1 answer:

wariber [46]3 years ago

5 0

Answer:

i dont even know un just add it or some thing just add using a calucalotor

Step-by-step explanation:

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A weight attached to a spring is at its lowest point, 9 inches below equilibrium, at time t = 0 seconds. When the weight it rele

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The motion can be modeled as
$x(t) =9 \, cos( \frac{2 \pi t}{T} )$
where
x = the position below the equilibrium position
T = the period of the motion
t = time

The weight returns to its equilibrium position when x = 0.
This occurs when
$\frac{2 \pi t}{T} = \frac{ \pi }{2}$
That is,
$t= \frac{T}{4}$

Because the weight returns to the equilibrium position when t = 3 s, therefore
T = 12 s
The motion is
$x(t) = 9 \, cos( \frac{ \pi t}{6} )$

When t = 1 s, the position of the weight from equilibrium is
$d = 9 \, cos( \frac{ \pi }{6} ) = 9( \frac{1}{2} ) = 4.5 \, in$

Answer:
$d = 9 \, cos( \frac{ \pi }{6} ) = 4.5 \, in$

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Vitek1552 [10]

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