Wow I'm dumb. I keep forgetting that you can just relate lengths to forces using trig (which seems super counter intuitive but hey, it's physics).
That was the only push I needed to figure this out.
sin(theta)=d/(1/2L)
-2mg(d/(1/2L))=F
d=-(L/4mg)F
It should not be negative though... Is this...
Should be two of them. One tension from P to top contact and another from P to bottom contact. Both going to the left. Just want to confirm if that's correct. And yeah there is equal and opposite tension in the y direction. So we're left with -2mgsin(theta)=ilB
Now that I have an equation to...
Yes I misunderstood then. Tx left, F right so -mgsin(theta)=ilB. Can you confirm if it's -mgsin(theta) or -2mgsin(theta)? Also, how am I going to get rid of theta by the end of the derivation? And when do L and d come in?
Like what? Magnetic field of wire is clockwise so how do I relate that to...
So what you mean is that if the x component of the tension is moving toward the right, then the magnetic force has to go to the left? Unless I'm misunderstanding which force you are referring to.
So then -ilB=mg(xcomponent)
If there are two points of contact should it be 2mg(xcomponent)?
Also...
Homework Statement
This is a magnetic force lab for the second semester of a physics lab course.
The setup of the lab is as follows. A wire of length L hangs vertically between two contact points and has a mass with mass m attached to the bottom of it. The wire sits between two magnets in...
Homework Statement
Does the series
\Big( \sum_{n=1}^\infty\frac{1}{(3^n)*(sqrtn)} \Big)
Converge or Diverge? By what test?Homework Equations
1/n^p
If p<1 or p=1, the series diverges.
If p>1, the series converges.
If bn > an and bn converges, then an also converges.
The Attempt at a...
Homework Statement
Use substitution to show that for any continuous function f,
$$\int_0^{\pi/2} f(\sin x)\,dx = \int_0^{\pi/2} f(\cos x)\,dx.$$
Homework Equations
$$\cos(\pi/2-x)=\sin x$$
The Attempt at a Solution
My confusion is that f is inside the integral, and I have no idea...
Homework Statement
Find derivative of f(a) for f(t)=(2t+1)/(t+3) using the definition of a derivative
Homework Equations
f '(a)=lim as x goes to a of (f(x)-f(a))/(x-a)
The Attempt at a Solution
f '(a)=lim as x goes to a of (f(x)-f(a))/(x-a)
f '(a)=lim as t goes to a of...