Question 62: Oscillations

Question

The equation of a particle executing simple harmonic motion is given by $x = \sin \pi \left( {t + {1 \over 3}} \right)m$. At t = 1s, the speed of particle will be
(Given : $\pi$ = 3.14)

Accepted Answer

$x = \sin \left( {\pi t + {\pi  \over 3}} \right)m$
$ \Rightarrow {{dx} \over {dt}} = \pi \cos \left( {\pi t + {\pi  \over 3}} \right)$
$ = \pi \cos \left( {\pi  + {\pi  \over 3}} \right)$ at $t = 1\,s$
$ =  - {\pi  \over 2}$ m/s
or $\left| {{{dx} \over {dt}}} \right| = 157$ cm/s

Answer

0 cm s
$-$1

Answer

157 cm s
$-$1

Answer

272 cm s
$-$1

Answer

314 cm s
$-$1

Oscillations

The equation of a particle executing simple harmonic motion is given by x = \sin \pi \left( {t + {1 \over 3}} \right)m. At t = 1s, the speed of particle will be (Given : \pi = 3.14)

Choose the correct answer: