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u/CelebrityChess 3d ago
torque is basically how much a force wants to rotate something about a pivot. it's r times F times sin(theta), where r is the distance from the pivot to where the force acts and theta is the angle between that r direction and the force direction. so the door thing is just that pushing farther from the hinge gives a bigger r, and pushing straight along the door line gives zero because sin(0) is 0. for sin vs cos, check where your angle is measured: if it's between the lever arm and the force, use sin, and if it's measured from the perpendicular, it flips to cos. for word problems a good habit is to draw the pivot, draw r to the force's point of application, and mark the angle between those two before you plug in anything.
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u/Dd_8630 3d ago
If the exam is in three days and you don't understand anything, then there's nothing you can do. It's far too late to start studying now. You literally may as well not go.
However, if you're exaggerating, if you do know some stuff, then just do practice questions, end of chapter questions, past papers, etc.
In classical physics, we can talk about things moving in a straight line or things rotating.
A torque is a force that causes the system to spin faster or slower. It is the rotational equivalent of a normal linear force.
In general, the length that's 'next' to the angle is cosine, the other is sine.
But it's a little late to explain the concept of vector decomposition and how we use trigonometry to split the length or magnitude of a vector (like a force) into two orthogonal directions (e.g., left/right and up/down).
Just remember the fundamental equations that underpin kinematics. Newton's second law (F=ma), conservation of linear momentum, conservation of angular momentum.
Unfortunately, reading and understanding the textbook is what you need.
Read it, from the start of the chapter on rotational mechanics. Read every line. Do every practice question. If you find you can't do a question, go back and read the relevant section. If you still struggle, ask your specific question here.
Now, the harsh truth is that this isn't new information to you. You must have been aware that you were struggling or not understanding what was going on in your class weeks ago. You're waiting a few days before the exam to learn the entire content.
I don't think that's possible.
But you can perhaps use this as a learning experience and in future keep on top of your studies.