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Sunny_sXe [5.5K]
3 years ago
11

A spring is attached to the ceiling and pulled 8 cm down from equilibrium and released. The amplitude decreases by 17% each seco

nd. The spring oscillates 19 times each second. Find an equation for the distance, D the end of the spring is below equilibrium in terms of seconds, t.
Physics
1 answer:
Vadim26 [7]3 years ago
3 0

Answer:

D(t) = 8(0.83)^(t) cos 38πt

Explanation:

We are told that the spring oscillates 19 times each second.

Thus, period = 1/19

We are also told that it's pulled 8cm downwards and the amplitude decreases by 17% each second.

Thus;

Amplitude;A = 8 × (1 - (17/100))^(t)

A = 8(0.83)^(t)

If we consider the function;

y = A cos (bx - c) + d

Now, 2π/b = period

So, 1/19 = 2π/b

b = 38π

So, D(t) = 8(0.83)^(t) cos (38πt - c) + d

Since we started from minimum,

Vertical shift, d = 0 and horizontal shift c = 0

So,we now have;

D(t) = 8(0.83)^(t) cos 38πt

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Answer:

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Explanation:

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W_x = \dfrac{|u_x - v_x|}{1-\dfrac{u_xv_x}{c^2}}

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W_x = \dfrac{0.543 c - (-0.741 c)}{1-\dfrac{(0.543 c)(-0.741 c)}{c^2}}

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what principle is responsible for alternating light and dark bands when light passes through two or more narrow slits?
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The fact that the two waves' crests follow different paths ensures that they do. A distinctive pattern of brilliant and dark fringes is seen when monochromatic light illuminates a distant screen after passing through two small openings. The superposition of overlapping light waves coming from the two slits results in this interference pattern.

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A firm wants to determine the amount of frictional torque in their current line of grindstones, so they can redesign them to be
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Answer:

a)- 1.799 rad/sec²

b)- 17.6 x 10ˉ³Nm

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α = (ωf -ω₀) / t

As final state of the grindstone is at rest, so ωf =0

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where m=2kg and radius 'r'= 0.099m

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I = 9.8 x 10ˉ³ kgm²

Next is to determine the frictional torque exerted on the grindstone, that caused it to stop, applying the rotational equivalent of the Newton's 2nd law:

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τ = - 17.6 x 10ˉ³Nm

(The negative sign indicates that the frictional torque opposes to the rotation of  the grindstone).

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