The smooth bar rotates in the horizontal plane with constant angular velocity. If the radial velocity of the 1-kg collar A is v when its radial position is r, what is its radial velocity when...

a) Write the equation expressing the relationship between radial velocity, angular velocity, and radial position.
b) Calculate the angular velocity of the smooth bar.
c) Determine the radial velocity of collar A at a specific radial position.
d) Analyze the effect of changing angular velocity on radial velocity.