The oscillation of a body on a smooth horizontal surface is represented by the equation, $X = Acos \left(\omegat\right)$ , where $X =$ displacement at time $t$ , $\omega =$ frequency of oscillation, $a =$ acceleration at time $t$ and $T =$ time period.
Which one of the following graph shows correctly the variation $a$ with $t$ ?

Question

The oscillation of a body on a smooth horizontal surface is represented by the equation,

X = Acos \left(\omegat\right)

, where

X =

displacement at time

t

,

\omega =

frequency of oscillation,

a =

acceleration at time

t

and

T =

time period.
Which one of the following graph shows correctly the variation

a

with

t

?

The oscillation of a body on a smooth horizontal surface is represented by the equation, X = Acos ( ) , where X =

Quantrex Academy · Accepted Answer

Correct answer: C.

The equation of displacement, X = Acos then the speed and acceleration will be in terms of amplitude of the wave and angular acceleration, v = (dx)/(dt) = Aω sin a = d ^ 2 x d t ^ 2 = - A ω ^ 2 cos , so the graph of acceleration and displacement.

The oscillation of a body on a smooth horizontal surface is...

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