Page 14 - statbility for masters and mates

2 Ship Stability for Masters and Mates
Example 1
Whilst moving an object one man pulls on it with a force of 200 Newtons, and another pushes in the same direction with a force of 300 Newtons. Find the resultant force propelling the object.
>E >
The resultant force is obviously 500 Newtons, the sum of the two forces, and
Component forces 300 N A 200 N
acts in the direction of each of the component forces. Resultant force 500 N A or A 500 N
E E
A force of 5 Newtons is applied towards a point whilst a force of 2 Newtons is
Example 2
applied at the same point but in the opposite direction. Find the resultant force. Component forces 5 N A 2 N
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Since the forces are applied in opposite directions, the magnitude of the
resultant is the difference of the two forces and acts in the direction of the 5 N force.
Resultant force 3N A or A 3N E E
(b) Resolving two forces which do not act in the same straight line
When the two forces do not act in the same straight line, their resultant can be found by completing a parallelogram of forces.
Example 1
A force of 3 Newtons and a force of 5 N act towards a point at an angle of 120 degrees to each other. Find the direction and magnitude of the resultant.
Fig. 1.1
Ans. Resultant 4.36 N at 36 34 1 0 to the 5 N force. 2
Note. Notice that each of the component forces and the resultant all act towards the point A.