$10.$ The reciprocating engine mechanism shown below. The crank $\backslash ($ C B $\backslash )$ with a length of $10$ cm $,$ a connecting rod BA with a length of $30$ cm $,$ and the center of gravity G located $10$ cm from point B $.$ The crank is moving with a velocity of $\backslash (75\backslash$mathrm$\{$rad$\}/\backslash$mathrm$\{$s$\}\backslash )$ and an angular acceleration of $\backslash (1200\backslash$mathrm$\{$rad$\}/\backslash$mathrm$\{$s$\}^\{\backslash$wedge$\}2\backslash ).$ Determine the velocity and acceleration of point G $,$ as well as the angular velocity and acceleration of point $\backslash ($ A B $\backslash ).$