## What are the x and y components of a force?

These parts of the force are called the components of the force. The component that pushes right or left is called the x-component, and the part that pushes up or down is called the y-component. Mathematically, the components act like shadows of the force vector on the coordinate axes.

**How do you calculate force components?**

Convert force B into components. Use the equation Bx = B cos theta to find the x coordinate of force B: 6.0 cos 24 degrees = 5.5 N. Use the equation By = B sin theta to find the y coordinate of force B: 6.0 sin 24 degrees = 2.4 N. That makes force B (5.5, 2.4)N in coordinate form.

### How do you find the resultant force of Class 9?

The resultant force acting on the body can be obtained by combining the sum of the vertical components of all the forces and the sum of all the horizontal components of the forces.

**What is the X-component of the force at 0 degrees?**

Assuming that 0 degrees is in standard position, pointing along the positive x-axis, the x-component of the force would be -10N, or 10N to the left. The answer would be Fx = F cos 120° . This means -Fx= (20 N) sin 30°.

## How does the angle of force affect the horizontal direction?

As the angle that a force makes with the horizontal increases, the component of force in the horizontal direction (F x) decreases. The principle makes some sense; the more that a force is directed upwards (the angle with the horizontal increases), the less that the force is able to exert an influence in the horizontal direction.

**How to find the vertical component of sin 60 degrees?**

The vertical component can be found if a triangle is constructed with the 1000 N diagonal force as the hypotenuse. The vertical component is the length of the side opposite the hypotenuse. Thus, sin (60 degrees) = (F vert) / (1000 N) Solving for F vert will give the answer 866 N.

### What is the relationship between force and angle in the diagram?

An important concept is revealed by the above three diagrams. Observe that the force is the same magnitude in each diagram; only the angle with the horizontal is changing. As the angle that a force makes with the horizontal increases, the component of force in the horizontal direction (F x) decreases.