Two tugboats are towing a large ship into port. The larger tug exerts a force of 3200 pounds on its cable and the smaller tug exerts a force of 4000 pounds on its cable. Measuring from the horizontal line l, the larger tug boat is pulling at an angle of 30 degrees and the smaller tug boat is pulling at an angle of 45 degrees, as shown in the figure.
Q1a. Find the resultant vector representing the path of the ship relative to the shore.
1b. What is the current heading of the ship?
1c. How many pounds of force are actually moving the ship?
Q2.) How much work is being done by the tugboats as they move the ship 1500 feet into the port?
Q3.) What force would be required of the smaller tugboat o move the barge due East along line l?
Q4.) Assume the ship is being pulled along the vector found in problem 1. If another tugboat latched onto the rear of the sip and is pulling it in the opposite direction. What vector would define the path of this tugboat if it is to hold the ship in static equilibrium?
4b. What force would be required to keep the ship from moving?
4c. What is the ehading of this tugboat?
4d. How much work is being done by this tugboat?