Question

What is the name of acceleration against displacement curve of SHM? What is the slope of the curve?

Answer 1

equilibrium position

Answer 2

Explanation:

SHM acronym stand for simple harmonic motion.

Let displacement  y =asin(ωt)

Since displacement is the function of time,so the slope of the displacement curve gives velocity of the object.

$V = \dfrac{dy}{dt} = a \omega cos( \omega t)$)

While the acceleration represents the double derivative of the displacement,since it is negative in magnitude so it is called retardation.

$acceleration = -a\omega ^{2} sin(\omega t)$