Calculate the component of a force of 200N at direction of 60 degree to the force
200 ÷60
200 cos60° = ____
Better review vector components.
To calculate the component of a force, you can use trigonometry. In this case, we have a force of 200N that makes a 60-degree angle with the direction we are interested in finding the component.
First, let's define the angle between the force and the desired direction:
θ = 60 degrees
Now, we can calculate the component of the force. There are two components of a force: the horizontal component and the vertical component. Since we want the component in a specific direction, we need to find the horizontal component.
The horizontal component is found by multiplying the magnitude of the force (200N) by the cosine of the angle (θ):
Horizontal component = 200N * cos(60 degrees)
To find the value, use the trigonometric function cosine to calculate the cosine of 60 degrees, and multiply it by 200N:
Horizontal component = 200N * cos(60 degrees)
Horizontal component ≈ 200N * 0.5
Horizontal component ≈ 100N
Therefore, the component of a force of 200N in the direction of 60 degrees is approximately 100N.