Answer Happy

A rope of length L is attached to a support at point C. A person of mass 50m sits on a ledge at position A holding the other end of the rope so that it is horizontal and taut, as shown. The person then drops off the ledge and swings down on the rope toward position B on a lower ledge where an object of mass 2m is at rest. At position B the person grabs hold of the object and simultaneously lets go of the rope. The person and object then land together in the lake 2 at point which is a vertical distance L below position B. Air resistance and the mass of the rope are negligible. Derive expressions for each of the following in terms of m, L, and g. 50m 90° a) The speed of the person just before the collision with the object. b) The speed of the person just after the collision with the object. 2m Lake c) The total horizontal displacement x of the person from Position A to Position D.