In case of a simple pendulum, time period versus length is depicted by,

A man weighing  $60 \mathrm{kg}$ stands on the horizontal platform of a spring balance. The platform starts executing simple harmonic motion of amplitude $0.1 \mathrm{m}$ and frequency $\frac{2}{\pi } \mathrm{Hz}$. Which of the following statements is correct?

A particle of mass $m$ is moving in the $x-y$ plane such that its $x$ and $y$ coordinates vary according to the law, $x=a \sin \left(\omega t\right)$ and $y=a \cos \left(\omega t\right)$ where, $a$ and $\omega$ are positive constants and $t$ is time. Find equation of the path. Name the trajectory (path).

A particle of mass $m$ is moving in the $x-y$ plane such that its $x$ and $y$ coordinates vary according to the law, $x=a \sin \omega t$ and $y=a \cos \omega t$ where, $a$ and $\omega$ are positive constants and $t$ is time. Find whether the particle moves in the clockwise or anti-clockwise direction.