Login/Sign Up
Home » The oscillation of body on a smooth horizontal surface is represented by the equation,Where displacement at time frequency of oscillationWhich one of the following graphs shows correctly the variation ‘a’ with ‘t’?
The oscillation of body on a smooth horizontal surface is represented by the equation,
X=A \cos (\omega t)
Where
\mathrm{X}= displacement at time \mathrm{t}
\omega= frequency of oscillation
Which one of the following graphs shows correctly the variation ‘a’ with ‘t’?
Physics
The oscillation of body on a smooth horizontal surface is represented by the equation,
X=A \cos (\omega t)
Where
\mathrm{X}= displacement at time \mathrm{t}
\omega= frequency of oscillation
Which one of the following graphs shows correctly the variation ‘a’ with ‘t’?

Option A:

Option B:

Option C:

Option D:

Solution:

The correct option is C

Displacement is given as x=A \cos (\omega t)
Velocity is given as \mathrm{v}=\frac{\mathrm{dx}}{\mathrm{dt}}=-\mathrm{A} \omega \sin (\omega \mathrm{t})
Acceleration is given a=\frac{d v}{d t}=-A \omega^{2} \cos (\omega t)

Hence C is the correct option.

i

More Material