Question

Figure 3 Offshore drilling platform Tug A is heading west and tug B is heading south. The figure above shows the approximate direction of tug C a. If the system shown is not moving (i.e. it is static), describe how the forces operating on the platform relate to one another. Write this relationship mathematically using vector notation and draw a vector diagram showing how these forces can be added together and how the heads and tails of each vector relate to each other (see the Part 2 book, Figure 13.25 (p. 197) for an example of a vector diagram). (3 marks) b. The magnitude of the forces A and B acting on the platform are: AL = 755.0 KN IBI = 646.0 KN If the system is stationary, what is the magnitude of force C? Show all your working clearly and give your answer in kN to 3 significant figures. (4 marks) c. The drilling platform has to be moved directly east. In order to achieve this, what would have to happen to the resultant force acting on the platform? Suggest two ways the individual forces could be changed to achieve this resultant force You may change the magnitude and direction of any of the individual forces to achieve this.

Answer 1

Solen: @ Fo+FA+= 0 Noco Pa glable TRI=fFoxfol > før+fe?= Fe? . 1 for stable R=fc © FA = 755 KN. FB = 646 KN R = (1755)2+(64632= +fc? >fc = 95526646)2 = 5570025+417316 * fc = 987341 =993.651 KN for east movement, either we have to increase force in east direction on the whole lot have to find the net resultant force on plateform in east direction. Pof we change the direction of RB to east and FA to south we will get the east mordement of platform.