Recent content by Brett R.

Homework Statement In the normal loop the loop problem involving rotational energy where the marble goes down the hill and goes through a loop the loop, it asks for the minimum height of the hill to keep the marble on the track. Homework Equations But why does the normal force have to equal 0...

Is it 1/1+(kv)2? That is my goal, however I don't think this equation will tell me that goal anymore.

However, I want to know how drag changes with velocity. How will this help me with that?

So... I think I got it. So the integral is arctan(kv) if you set β/μg = k2 which makes things a lot easier. Then you substitute back in for k and you get arctan(βv/μg)=0 right?

However, I need the form 1/1+v2. I have 1/(1+ (β/μg)v2). How do I get that other part out.

Sorry for all the questions, but my math skills have not gotten me to the point where I can take all the information I learn and apply it to physics equations. I really appreciate your help.

So it is arc tan. i manipulate to get ∫dt= (1/μg)[1/(1+(β/μg)v2)]dv

OHH I think i got it. Because nothing here but velocity varies with time. So if I just divide, I can integrate dt on the left and 1/the rest on the right

that would leave it in the form. (-μg)dt + (-βv2) dt=dv This is where I was stuck. I do not know how to go farther without further complicating the terms.

I know but if you divide by both sides, you are left with an m under the second term. Then I substituted out. As for dt, if I multiply across I can not get the v^2 to the right since it would be trapped by the dt.

I divided both sides by m to get the m on the right side to go away. My problem is I was having trouble getting the v^2 term to the right

how do I integrate -μg-βv2 = dv/dt

Well I am using a Skid mark equation √μgdcosθ. So a car is traveling along the x and skids to a stop. I want to compare the various effects of velocity and frontal area on drag. I want to know if drag will have a major effect on the calculated velocity based on a skid mark length. So there is...

HI all, I am new to the forum and have a real question for you physics buffs. It has to do with drag. For a mathematics paper, I am exploring the use of physics in accident reconstruction. I want to use calculus to create differential equations for the drag equation .5p(Cd)(A)v^2... I want a...