two unequal forces acting on a point at a angle of 150 degree. which is perpendicular is smaller force the larger force is 24 N. find the smaller and resultant force.

No idea what you mean by

which is perpendicular is smaller force

And is 150° the angle between the forces, or the direction of the resultant?

The problem cannot possibly have been presented to you in the language you used.

To find the smaller and resultant force, we need to break down the given forces into their horizontal and vertical components.

Let's assume the smaller force is F1 and the larger force is F2.

Since the angle between the two forces is given as 150 degrees, we can find the horizontal and vertical components of each force using trigonometric functions.

1. Horizontal and Vertical Components of F1:
- The horizontal component of F1 (F1x) can be calculated as: F1x = F1 * cos(150°).
- The vertical component of F1 (F1y) can be calculated as: F1y = F1 * sin(150°).

2. Horizontal and Vertical Components of F2:
- The horizontal component of F2 (F2x) can be calculated as: F2x = F2 * cos(150°).
- The vertical component of F2 (F2y) can be calculated as: F2y = F2 * sin(150°).

Since F1 is the smaller force, we need to find its value. Let's assume F1 is x.

Given that F2 (the larger force) is 24 N, we can now write the equation for the horizontal components:

F2x = 24 * cos(150°)

Also, we can write the equation for the vertical components:

F1y + F2y = 0 (as these forces are perpendicular)

Now, let's substitute the equations we derived:

x * sin(150°) + 24 * sin(150°) = 0

Solving the equation above will give us the value of x, which represents the smaller force (F1).

Once we have the value of F1, we can find the resultant force by combining the horizontal and vertical components of both forces:

Resultant horizontal component (Rx) = F1x + F2x
Resultant vertical component (Ry) = F1y + F2y

The magnitude of the resultant force (R) can be calculated using the Pythagorean theorem:

R = √(Rx² + Ry²)

By following these steps, you should be able to find the values of the smaller force (F1), larger force (F2), and the resultant force (R).