Bar Swinging Up After Collision - Strategy

[postfan]

Homework Statement

A uniform bar of mass m and length l is suspended on a frictionless hinge. A horizontally launched blob of clay of mass m strikes the bottom end of the bar and sticks to it. After that, the bar swings upward. What is the minimum initial speed v of the blob of clay that would enable the rod to swing a full circle?
Which concepts/laws would be most helpful in solving this problem? Select the best answer from the options below.
CHOICES
kinematics of rotational motion; conservation of energy
conservation of momentum, conservation of energy
conservation of angular momentum, conservation of momentum
conservation of angular momentum, conservation of energy
conservation of energy, Newton's laws
Newton's laws, conservation of angular momentum
conservation of angular momentum, kinematics of rotational motion
Newton's laws, kinematics of rotational motion

Homework Equations

The Attempt at a Solution

I though the answer was momentum and linear momentum because the linear momentum converts into the angular one ,but I am wrong. So, what it the right answer?

 

[mfb]

There are multiple ways to solve this, but conserved angular momentum in the collision process is certainly interesting. Linear momentum is not conserved (the hinge can absorb some of the momentum of the clay).
Afterwards, you need some way to find out how high the bar will swing.. what would you use for that?

 

[postfan]

Would you use conservation of energy?

 

[mfb]

I would use conservation of energy as part of the solution, yes.

 

[postfan]

So the answer is conservation of energy and conservation of angular momentum?

 

[mfb]

That is probably the answer I would give.

 

[postfan]

Ok Thanks!