two forces 4n and 5n act on a body in direction due north and due east respectively calculate their equilibria
To calculate the equilibrium of two forces acting on a body, we need to find the resultant force. The resultant force is the vector sum of the individual forces.
In this case, we have a force of 4N acting due north and a force of 5N acting due east. We can represent these forces as vectors:
- The force due north can be represented as 4N in the positive y-direction.
- The force due east can be represented as 5N in the positive x-direction.
To find the resultant force, we need to add these vectors. We can use vector addition to do this:
1. Draw a coordinate system with x and y axes.
2. Place the force due north vector (4N) starting from the origin (0,0) and going up along the positive y-axis.
3. Place the force due east vector (5N) starting from the end of the force due north vector and going to the right along the positive x-axis.
4. Draw a straight line connecting the tail of the first vector to the head of the second vector. This line represents the resultant force.
5. Measure the length and direction of the resultant force vector.
To find the equilibrium, we need the resultant force to be zero. If the resultant force is not zero, then the body will move in the direction of the resultant force until equilibrium is reached.
So, calculate the resultant force by visually adding the vectors using the steps mentioned above, and check whether the resultant force is zero or not.