## Question:

If it takes time ${ t }_{ 1 }$ for the tugboat of mass ${ m }_{ t }$ to increase its speed uniformly to ${ v }_{ 1 }$ starting from rest, determine the force of the rope on the tugboat. The propeller provides the propulsion force F which gives the tugboat forward motion, whereas the barge moves freely. Also, determine the force F acting on the tugboat. The barge has mass of ${ m }_{ b }$. Units Used: Mg = 1000 kg , kN = ${ 10 }^{ 3 }$ N Given: ${ t }_{ 1 }$ = 35 s , ${ m }_{ t }$ = 50 Mg , ${ v }_{ 1 }$ = 25 km/hr , ${ m }_{ b }$ = 75 Mg