### Circular Motion

goals
A particle moves along an arc of a circle of radius $R$ according to the law $l=a\sin{\omega t}$, where $l$ is the displacement from the initial position measured along the arc, and $a$ and $\omega$ are constants. Assume $R=1.00\:m$, $a=0.80\:m$, and $\omega=2.00\:rad/s^2$.
If the system shown in the figure is rotated in a horizontal circle with angular velocity $\displaystyle \omega:\left ( g= 10m/s^{2} \right )$
If the system shown in the figure is rotated in a horizontal circle with angular velocity $\displaystyle \omega:\left ( g= 10m/s^{2} \right )$
In a uniform circular motion -
A string can withstand a tension of $25\ N$. What is the greatest speed at which a body of mass $1\ kg$ can be whirled in a horizontal circle using $1\ m$ length of the string?