Which pair of quantities includes one quantity that increases as the other decreases during simple harmonic motion? acceleration and displacement acceleration and net force velocity and displacement displacement and net force

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06-07-2022
Physics

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Which pair of quantities includes one quantity that increases as the other decreases during simple harmonic motion? acceleration and displacement acceleration and net force velocity and displacement displacement and net force

Sagot :

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tushargupta0691 tushargupta0691 · Answer 1 · 2022-07-14T13:11:07-04:00

Velocity and displacement are the two quantities that increases as the other decreases during simple harmonic motion.

In a basic harmonic motion, how are velocity and displacement related?

If a body's velocity at any given moment is inversely proportional to its displacement from the mean position, its motion is said to be simple harmonic.

Angular harmonic frequency and time t are functions that can be used to explain simple harmonic motion:

Displacement from equilibrium has amplitude A:

x = Asin(ωt)

and velocity has amplitude ωA

v = dx/dt = ωAcos(ωt)

At ωt = 0, x = 0 while v = Aω (max).

At ωt = π/2, x = A (max) while v = 0.

As a result, v reaches it's maximum /2 (90°) before x does. Therefore, displacement follows velocity at a 90° angle.

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Sagot :

In a basic harmonic motion, how are velocity and displacement related?

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