Parallel/Perpendicular to the slope

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In summary, the conversation discusses the interpretation of "parallel to the slope" and how it relates to the net force in the X and Y directions. The speaker has already calculated the forces but is questioning why "parallel to the slope" means "in the Y-direction" and not parallel to the actual slope the object is on. The expert clarifies that "parallel to the slope" refers to the direction of the slope itself, and in this case, the 6 N force is perpendicular to the slope.
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dynastykid
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Fs4bD.png


The question here pertains to 1 and 2 of the above image. I already got the answers by calculating the net force in the X direction and the X force in the Y direction, but why is this? When they say "Parallel to the slope," why does that mean "in the Y-direction," and not parallel to the slope that the object is on.

Is there something I am missing here? Sorry if this isn't in the traditional format for questions like this. Shouldn't parallel to the slope mean, literally, the force in the direction that is parallel to the slope (ie. 6N in this picture, minus the component from the 5N down)
 
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'Parallel to the slope' means 'in the direction of the slope'. The slope is the thin black line in the figure at a 30 degree angle with the horizontal. The 6 N force is perpendicular to the slope.
 

FAQ: Parallel/Perpendicular to the slope

What is the difference between parallel and perpendicular to the slope?

Parallel to the slope means that two lines have the same slope, while perpendicular to the slope means that two lines intersect at a 90 degree angle.

How do I determine if a line is parallel to the slope?

To determine if a line is parallel to the slope, you can compare the slope of the given line with the slope of the slope it is supposed to be parallel to. If they are the same, then the lines are parallel.

Can two lines be both parallel and perpendicular to the slope?

No, two lines cannot be both parallel and perpendicular to the same slope. If they are parallel, they have the same slope, and if they are perpendicular, they have slopes that are negative reciprocals of each other.

How do I find the slope of a line that is perpendicular to a given slope?

To find the slope of a line that is perpendicular to a given slope, you can use the formula m = -1/slope. This will give you the negative reciprocal of the given slope.

Is it possible for a line to be parallel to the x-axis or y-axis?

Yes, a line can be parallel to either the x-axis or y-axis. If a line is parallel to the x-axis, its slope is 0, and if it is parallel to the y-axis, its slope is undefined.

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