A force makes an angle of 60° with y-axis.Find x-component of force.
If the magnitude of the force is F, then the x-component is
F sin60°
If the magnitude of the force is F, then the X component is F cos 60°
To find the x-component of a force that is at an angle of 60° with the y-axis, we can use trigonometry. The x-component of a force can be determined using the cosine function.
The cosine of an angle is defined as the adjacent side divided by the hypotenuse. In this case, the adjacent side refers to the x-component of the force, and the hypotenuse represents the force itself.
Let's assume that the magnitude of the force is represented by F. Since the force makes an angle of 60° with the y-axis, the hypotenuse can be represented by F, and the adjacent side (the x-component of the force) can be represented by Fx.
Using the cosine function, we have:
cos(60°) = Fx / F
Now, we need to solve for Fx. We know that cos(60°) is equal to 0.5 (you can look up the value in a table or use a calculator). Substituting this value into the equation, we get:
0.5 = Fx / F
To find Fx, we isolate it by multiplying both sides of the equation by F:
0.5 * F = Fx
Therefore, the x-component of the force is 0.5 times the magnitude of the force.