find the equilibrium of two is N forces acting upon a body,when the angle betweenthem is a)90degrees b)120degrees c)180degrees d)10degrees e)45degrees

To find the equilibrium of two N forces acting upon a body, we need to consider the vector sum of the forces. If the vector sum of the forces is zero, then the body is in equilibrium.

Let's consider each case:

a) 90 degrees:
In this case, the two forces are perpendicular to each other. To find the equilibrium, we need to find a third force that cancels out the two forces. This means that the magnitude and direction of the third force must be equal and opposite to the sum of the magnitudes and directions of the two forces. Since the forces are perpendicular, we can use the Pythagorean theorem to find the magnitude of the third force. The angle between the third force and one of the original forces is 90 degrees (which is the resultant force). To find the angle between the third force and the other original force, we can use the equation: angle = 180 degrees - 90 degrees. This will give us the equilibrium condition.

b) 120 degrees:
In this case, the forces are not perpendicular but are at an angle of 120 degrees. To find the equilibrium, we can use the law of cosines. The magnitude of the resultant force can be found using the equation: c^2 = a^2 + b^2 - 2ab * cos(angle), where 'a' and 'b' are the magnitudes of the forces and 'angle' is the angle between them. If the magnitude of the resultant force is zero, then the body is in equilibrium.

c) 180 degrees:
In this case, the forces are opposite in direction. The magnitudes of the forces should be equal for equilibrium. If the magnitudes are equal, then the vector sum of the forces is zero, and the body is in equilibrium.

d) 10 degrees:
In this case, the forces are not perpendicular to each other, and the angle between them is not a special case. To find the equilibrium, we can use the law of cosines similar to the previous case. By calculating the magnitude of the resultant force using the equation: c^2 = a^2 + b^2 - 2ab * cos(angle), we can determine if the body is in equilibrium.

e) 45 degrees:
Similarly, in this case, we can use the law of cosines to find the magnitude of the resultant force using the equation: c^2 = a^2 + b^2 - 2ab * cos(angle). If the magnitude of the resultant force is zero, then the body is in equilibrium.

Remember, for any angle, if the magnitude of the resultant force is zero, the body is in equilibrium.