Question: $(30$ Marks$)$

$3)$ For Figure $3,$ at the instant, AB has an angular velocity of $\backslash (16\backslash$mathrm$\{$rad$\}/\backslash$mathrm$\{$s$\}\backslash )$; find

a$)$ the velocity at $\backslash ($ B $\backslash )$ with proper magnitude and direction.

$(10$ marks$)$

b$)$ The angular velocity at $\backslash ($ B C $\backslash )$ with proper magnitude and direction.

$(10$ marks$)$

c$)$ The velocity at $\backslash ($ C $\backslash )$ with proper magnitude and direction

Express your answer up to $3$ decimal points. Please draw the necessary diagrams.

Figure $3$