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## Homework Statement

We have a rule of mass m and length l lying on a table without friction.

We give a boost I to the rule at a distance d from the center of mass so that it now has a rotation and a translation.

1) The rule rotates about which point?

2) Determine the velocity, vm, of the center of mass.

3) Determine the angular velocity, w, of the ruler.

4)What should be the distance d so that the instantaneous displacement ds of the oposite side of the ruler be a minimum?

## Homework Equations

w=v*r

I= Variation momentum

## The Attempt at a Solution

I think the answer to 1 is that it rotates about it center of mass but I don't have a clue about the other ones