Oscillations Ques 62
62. The oscillation of a body on a smooth horizontal surface is represented by the equation, $ X=A \cos (\omega t)$ where
$X=$ displacement at time $t$
$\omega=$ frequency of oscillation
Which one of the following graphs shows correctly the variation of ’ $a$ ’ with ’ $t$ ‘?
(a)
(b)
(c)
(d)
Show Answer
Answer:
Correct Answer: 62.(c)
Solution:
- (c) Displacement, $x=A \cos (\omega t)($ given $)$
Velocity, $v=\frac{dx}{dt}=-A \omega \sin (\omega t)$
Acceleration, $a=\frac{dv}{dt}=-A \omega^{2} \cos \omega t$
Hence graph (c) correctly dipicts the variation of a with $t$.
BETA
