Not sure whether it is #2 or #4. When you resolve a vector F into components, th

Question

Not sure whether it is #2 or #4.

When you resolve a vector F into components, the components must have the form F cos() or Fsin(). The signs depend on which quadrant the vector lies in, and there will be one component with sin(6) and the other with cos(6) In real problems the optimal coordinate system is often rotated so that the x axis is not horizontal. Furthermore, most vectors will not lie in the first quadrant. To assign the sine and properly reorient the definitional triangle As an example, consider the vector N shown in (Figure 2) labeled "tilted axes," where yoru know the angle between N and the y axis. Which of the various ways of orienting the definitional triangle must be used to resolve N into components in the tilted coordinate system shown? (In the figures, the hypotenuse is blue (long dashes), the side adjacent to is red (short dashes), and the side opposite is yellow (solid).)

Explanation / Answer

Option (4) is the correct answer.

Explanation -

First of all 'theta' is the angle between the vector N and Y - axis.

Then, the vector for which we have to determine the components is vector N.

So, vector N shall be represented by blue (long dashes).

And the perpendicular from this vector on the y-axis shall be the y-component.

When you look at the option (4), all the conditions are met.

So, option (4) is the correct answer.

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