# Resolving Force-M1

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#3

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How do you know when to use sin instead of cos?

**geography1294**)How do you know when to use sin instead of cos?

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#4

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Sin vertical and cos horizontal.

**Ahad27**)Sin vertical and cos horizontal.

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Well that is a massively ambiguous question. Do you mean in terms of right-angled triangles? In which case, I just look at the hypotenuse and see whether I have an angle between the hypotenuse and the side I want to find. If I do, then it's cosine, if I don't then it's sine. If I have two side lengths of the triangle, then it's tan.

**RDKGames**)Well that is a massively ambiguous question. Do you mean in terms of right-angled triangles? In which case, I just look at the hypotenuse and see whether I have an angle between the hypotenuse and the side I want to find. If I do, then it's cosine, if I don't then it's sine. If I have two side lengths of the triangle, then it's tan.

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#6

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You can find vertical using cosine, and horizontal using sine as well. That's not much of an explanation.

**RDKGames**)You can find vertical using cosine, and horizontal using sine as well. That's not much of an explanation.

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#7

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When you resolve forces, do you resolve in one direction and take whatever goes against the motion to be negative?

**geography1294**)When you resolve forces, do you resolve in one direction and take whatever goes against the motion to be negative?

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When you resolve forces, you are aiming to resolve them in 2 dimensions only (as far as M1 is concerned) such that they are perpendicular to each other - so no, you do not resolve in one direction. And yes, you may take any forces going against the direction of motion as negative and then add that onto the driving force which would give the resultant forward force (assuming no external forces)

**RDKGames**)When you resolve forces, you are aiming to resolve them in 2 dimensions only (as far as M1 is concerned) such that they are perpendicular to each other - so no, you do not resolve in one direction. And yes, you may take any forces going against the direction of motion as negative and then add that onto the driving force which would give the resultant forward force (assuming no external forces)

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#9

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So for a x and y coordinate grid, you would be resolving left to right and everything on the side of the negative coordinates would be against the motion?

**geography1294**)So for a x and y coordinate grid, you would be resolving left to right and everything on the side of the negative coordinates would be against the motion?

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#10

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I assumed he was asking when to use cos and sine when finding the horizontal and vertical components

**Ahad27**)I assumed he was asking when to use cos and sine when finding the horizontal and vertical components

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#11

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It's not always about finding horizontal and vertical components. Parallel and perpendicular force components to the plane would be a much more accurate saying.

**RDKGames**)It's not always about finding horizontal and vertical components. Parallel and perpendicular force components to the plane would be a much more accurate saying.

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(Original post by

When you resolve forces, you are aiming to resolve them in 2 dimensions only (as far as M1 is concerned) such that they are perpendicular to each other - so no, you do not resolve in one direction. Why perpendicular? Because then they do not affect each other and you can treat them individually. And yes, you may take any forces going against the direction of motion as negative and then add that onto the driving force which would give the resultant forward force (assuming no external forces)

**RDKGames**)When you resolve forces, you are aiming to resolve them in 2 dimensions only (as far as M1 is concerned) such that they are perpendicular to each other - so no, you do not resolve in one direction. Why perpendicular? Because then they do not affect each other and you can treat them individually. And yes, you may take any forces going against the direction of motion as negative and then add that onto the driving force which would give the resultant forward force (assuming no external forces)

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#13

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Also for resultant forces, how do you know which way to draw the force on the diagram?

**geography1294**)Also for resultant forces, how do you know which way to draw the force on the diagram?

- think about it.

If there is no motion, then the forces balance.

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#14

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True, would it be better if I used i and j instead of horizontal and vertical?

**Ahad27**)True, would it be better if I used i and j instead of horizontal and vertical?

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#15

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The notion of and is that they are simply perpendicular vectors, but they do not specify how they are perpendicular. So you could indeed use them if you explain that is parallel to the plane, and that is perpendicular to it, or vice versa if you wish. Or you can say that one if horizontal and the other is vertical.

**RDKGames**)The notion of and is that they are simply perpendicular vectors, but they do not specify how they are perpendicular. So you could indeed use them if you explain that is parallel to the plane, and that is perpendicular to it, or vice versa if you wish. Or you can say that one if horizontal and the other is vertical.

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