A uniform beam with mass M = 179.0 kg and length L = 3.2 m slides broadside down along the ice at a speed of vo = 12.0 m/s. A man of mass 99.0 kg, who is initially at rest grabs one end of the beam as it goes past and hangs on as the beam and man go spinning down the ice. Note: You can assume frictionless motion and the moment of inertia for the man about a vertical axis through his center of mass is negligible. Use the coordinate system shown in the picture, with the origin located at the initial position of the man and the z axis pointed out of the page. 1) During the beam/man collision, which of the following qualities about the man/beam system are conserved (circle all that are correct): a) Linear momentum b) Angular momentum c) Rotational kinetic energy d) Mechanical energy e) None of the above. 2) After the collision, what is the moment of inertia of the man + beam system about an axis perpendicular to the ice through the center of mass of the system? 3) After the collision, at what angular velocity does the system rotate about its center of mass? 4) After the collision, what is the linear speed of the center of mass of the system?

A uniform beam with mass M = 179.0 kg and length L = 3.2 m slides broadside down along the ice at a speed of vo = 12.0 m/s. A man of mass 99.0 kg, who is initially at rest grabs one end of the beam as it goes past and hangs on as the beam and man go spinning down the ice. Note: You can assume frictionless motion and the moment of inertia for the man about a vertical axis through his center of mass is negligible. Use the coordinate system shown in the picture, with the origin located at the initial position of the man and the z axis pointed out of the page. 1) During the beam/man collision, which of the following qualities about the man/beam system are conserved (circle all that are correct): a) Linear momentum b) Angular momentum c) Rotational kinetic energy d) Mechanical energy e) None of the above. 2) After the collision, what is the moment of inertia of the man + beam system about an axis perpendicular to the ice through the center of mass of the system? 3) After the collision, at what angular velocity does the system rotate about its center of mass? 4) After the collision, what is the linear speed of the center of mass of the system?