The 350-Mg tugboat T is used to pull the 50-Mg barge B with a rope R. If the barge is initially at rest and the tugboat is coasting freely with a velocity of (vT)1 = 3 m/s while the rope is slack, determine the velocity of the tugboat directly after the rope become taut.
Free-Body Diagram. We will consider the entire system. The impulsive force created between the tugboat and the barge is internal to the system, therefore momentum of the system is conserved during the instant of towing.
Alternative procedure of drawing the system’s impulse and momentum diagrams is as shown below
Conservation of Momentum. Noting that (vB)2 = (vT)2
This value represents the tugboat’s velocity just after the towing impulse.
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