A cord is wrapped around the inner spool of the gear. If it

is pulled with a constant velocity $v,$ determine the

velocities and accelerations of points A and $B.$ The gear

rolls on the fixed gear rack.$($Figure $1)$

Figure

Determine the magnitude of the velocity point $A.$

Express your answer in terms of $v.$

$v_A=$

Part B

Determine the magnitude of the acceleration of point $A.$

Express your answer in terms of the variables $v$ and $r.$

$a_A=$

Part C

Determine the magnitude of the velocity of point $B.$

Express your answer in terms of $v.$