# Determining the Components of Force Exerted by Cable BG

## What is the component of force?

The component of force is the part of a force that acts in a specific direction. How can we determine the components of the force exerted by cable BG on the frame at B?

## The component of force is

The component of force is the part of a force that acts in a specific direction. Let's break down the components of the force exerted by cable BG on the frame at B.

When dealing with forces in three-dimensional space, it is essential to break down the force into its components in the x, y, and z directions. The x-component represents the force acting horizontally, the y-component represents the force acting vertically, and the z-component represents the force acting in depth.

In the given scenario, we have cable BG attached to frame ACD with a tension of 550N. To determine the components of the force at point B, we need to calculate the x and y components.

By using trigonometry, we can find the components as follows:

Let's denote the angle between cable BG and the horizontal axis as θ. With BC = 0.8 m, BD = 1.2 m, and BG = 550 N, we can calculate:

The component of the force in the x-direction is given by:

Fx = BG cos(θ) = 550 cos(θ) = 550(BD/BG) = 550(1.2/550) = 1.2 N (rounded to one decimal place)

The component of the force in the y-direction is calculated as:

Fy = BG sin(θ) = 550 sin(θ) = 550(BC/BG) = 550(0.8/550) = 0.8 N

Therefore, the components of the force exerted by cable BG on the frame at B are 1.2 N in the x-direction and 0.8 N in the y-direction. As for the z-direction, the component of force is zero as cable BG does not exert any force in that direction.