a body is under of 2 forces 7n and 10n find the resultant of 2 forces if (a)the forces are parallel and act in thesame direction (b)the forces are parallel and act in opposite direction(c)the two forces are inclined and act at an angle of 60 degree to each other (d)the 2 forces are inclined at an angle of 160 degree (e) the two forces are inclined at 90 degree?

See previous post.

To find the resultant of two parallel forces, you can simply add or subtract the magnitudes of the forces depending on their direction. The angle between the forces does not matter in this case.

(a) If the two forces are parallel and act in the same direction, the resultant force is the sum of their magnitudes:
Resultant force = 7 N + 10 N = 17 N in the same direction.

(b) If the two forces are parallel and act in opposite directions, the resultant force is the difference between their magnitudes:
Resultant force = 10 N - 7 N = 3 N in the direction of the larger force.

For inclined forces, you have to apply trigonometry to find the horizontal and vertical components of each force, and then find the vector sum of the components.

(c) If the two forces are inclined and act at an angle of 60 degrees to each other, follow these steps:
1. Resolve each force into its horizontal and vertical components by using trigonometry:
- Force 1 (7 N):
Horizontal component = 7 N * cos(60°)
Vertical component = 7 N * sin(60°)
- Force 2 (10 N):
Horizontal component = 10 N * cos(60°)
Vertical component = 10 N * sin(60°)

2. Sum up the horizontal components and vertical components separately:
Horizontal component of resultant force = Sum of the horizontal components of the individual forces.
Vertical component of resultant force = Sum of the vertical components of the individual forces.

3. Use Pythagoras' theorem to find the magnitude of the resultant force:
Resultant force = sqrt((Horizontal component)^2 + (Vertical component)^2)

(d) If the two forces are inclined at an angle of 160 degrees, you can follow the same steps as in (c), but the angle between the forces exceeds 90 degrees. In this case, you need to consider the negative value of the sine component of one of the forces, as it will act in the opposite direction.

(e) If the two forces are inclined at 90 degrees, one of the forces acts vertically, and the other acts horizontally. To find the resultant force, simply apply the Pythagorean theorem:
Resultant force = sqrt((7 N)^2 + (10 N)^2) = sqrt(149) N