A uniform rod of length L and mass M is held vertically with one end resting on the floor as shown below. When the rod is released, it rotates around its lower end until it hits the floor. Assuming the lower end of the rod does not slip, what is the linear velocity of the point one-seventh the length of the rod away from its lower end when it hits the floor? (Enter the magnitude. Use any variable or symbol stated above along with the following as necessary: g.)