(Solved): The system shown consists of a wheel of radius \( R=14 \) in. rolling on a horizontal surface. A b ...

The system shown consists of a wheel of radius \( R=14 \) in. rolling on a horizontal surface. A bar \( A B \) of length \( L=40 \) in. is pin-connected to the center of the wheel and to a slider \( A \) that is constrained to move along a vertical guide. Point \( C \) is the bar's midpoint. If the wheel rolls without slip with a constant counterclockwise angular velocity of \( 10.5 \mathrm{rad} / \mathrm{s} \), determine the velocity of the slider \( A \) when \( \theta=45^{\circ} \).