# Math: Calculus - Vectors

posted by .

Two forces of 90 N act on an object. The forces make an angle of 48 degrees to each other. Calculate the resultant force and the force that must be applied to the object to create equilibrium.

My work, using geometric vectors:

| r |^2 = 90^2 + 90^2 - 2(90)(90)cos132
| r | = 164.4 N

sin132 / 164.4 = sinx / 90
x = 24 degrees

Therefore the resultant force is 164.4 N, 24 degrees from 90 N.

*************MY QUESTION*********
-------- How do I find the equilibrium to this problem? Can you please provide a step by step solution?

Thanks

• Math: Calculus - Vectors -

I assume you did the law of cos and of sin right, not checking
To hold this force in equilibrium, you need a force equal and magnitude and opposite in direction to the resultant.
so 164.4 N at 180+24 = 204 degrees from one of the original 90 N forces.

## Similar Questions

1. ### pre calc

Two forces of 50 and 70 N (newtons) act on an object. The angle between the forces is 40°. Find the magnitude of the resultant and the angle that it makes with the smaller force.
2. ### Calculus

Two forces, F1 and F2 act on an object and the angle between them is 60 degrees. Determine the magnitude and the direction of the resultant force FR relative to F1 if F1= 50 N and F2= 30 N.
3. ### geometry

16. Vector A has a magnitude of 3 in the leftward direction and B has a magnitude of 5 in the rightward direction. What is the value of 2A – B?
4. ### geometry

16. Vector A has a magnitude of 3 in the leftward direction and B has a magnitude of 5 in the rightward direction. What is the value of 2A – B?
5. ### math

two forces, one of 35 pounds and the other 62 pounds, act upon the same object. The angle between these forces is 25 degrees. Find the magnitude of the resultant force.
6. ### MATH116

Two forces of magnitudes 60 Newtons and 80 Newtons make an angle of 30 with each other and are applied to an object at the same point. Find the following: 1. the magnitude of the resultant force, and 2. to the nearest degree the angle …
7. ### Physics

An object is moving with constant velocity -->v Which situation is impossible in such a circumstance?
8. ### physics

two forces are applied to a 40kg object. one force is 50N and the other is 60N. if the forces are perpendicular to another, what will the resultant acceleration of the object be?
9. ### physics

two forces act on an object, force A id 8.7N and force B is 12.9N. The angle between the two forces is 125 degrees. what is the net force on the object?
10. ### Science

Two 20.-newton forces act concurrently on an object. What angle between these forces will produce a resultant force with the greatest magnitude?

More Similar Questions