a$)$ Predict whether the input link AB is a crank that can rotate continuously. $(5$ marks$)($b$)$ Find the velocity of link $$ at that instance if $2=100$ CW$.$ Use an analytical method. $(10$ marks$)($c$)$ Find the velocity of point $$ at that instance if $4$ is known. Solve analytically. $(15$ marks$)$

Question $2(10$ marks$)$ Still referring to Figure Q$1$ above, solve for the torque needed at A when the output force at the crusher is $500$ lb$.$