The diagram below illustrates four hypothetical collisions that take place on a
ID: 1910337 • Letter: T
Question
The diagram below illustrates four hypothetical collisions that take place on a level, frictionless surface. The collisions are shown from a top-view perspective. All pucks are identical. If a linear or angular velocity is not specified, it is zero. If distances appear to be equal, assume that they are. For each hypothetical collision: Specify the direction of the angular momentum of the rod-puck(s) system with respect to the center of the rod both before and after the collision. If necessary, use the convention that a vector into the page is represented by the symbol and a vector out of the page is represented by the symbol . Specify the direction of the linear momentum of the rod-puck(s) system, both before and after the collision. On the basis of your answers above, state whether each hypothetical collision could or could not occur. If a particular hypothetical collision could not occur, state whether it violates (1) the principle of conservation of linear momentum, (2) the principle of conservation of angular momentum, or (3) both.Explanation / Answer
angular momentum = m*(cross product of r and v) r = perpendicular distance from center of rod case 1: Li = into the plane Pi = towards right Lf = out of the plane Pi = towards right. doesnot occur because it violates 2 case 2: Li = no angular momentum Pi = towards right Lf = no angular momentum Pi =no momentum. doesnot occur because it violates 1 case 3: Li = into the plane Pi = no momentum Lf = no angular momentum Pi = no momentum doesnot occur because it violates 2 case 4: Li = into the plane Pi = towards right Lf = into the plane Pi = no momentum doesnot occur because it violates 1