Sorry about the notation confusion. Still getting used to using LateX.
The lightbulb came on with that comparison with the momentum squared. Thank you very much!
Homework Statement
I recently finished a test that asks you to derive
Power = \frac{dE}{dt} = F \times v
from the energy equation:
E^2 = E_{0}^2 + (pc)^2
Homework Equations
Power = \frac{dE}{dt} = F \times v
E^2 = E_{0}^2 + (pc)^2
p = \gamma m v
The Attempt at a Solution
I got...
Homework Statement
"If the coefficient of static friction between the block of mass m and the turntable is \mu_s, determine the maximum constant angular velocity of the platform without causing the block to slip." I'm actually using this problem to understand why I'm getting the wrong answer...
So, I wanted to be clear on something for which I've gotten one opinion already that I'm understanding correctly. For working with vectors in a plane and determining the bivector from them, I understand it is sufficient to use PQ = P(dot)Q + P(wedge)Q where P(dot)Q = (PQ + QP)/2 and P(wedge)Q...
Yes, I have. I'm still exploring it.
Thank you! I'll look it up.
I've lurked very quietly on a lot of forums and paid attention to the discussions of others in different mediums, and as a result have gotten used to seeing a pooh-pooh response in many cases. I appreciate your suggestions...
... or, as an alternative title: I Like Making Things Difficult For Myself.
I will preface this post with the fact that I'm majoring in physics and math, so as to help explain my motivations.
Specifically, I'm interested in the use of Clifford algebras to do many of the calculations common...
I got 2.4m, which was confirmed as correct. Taking the known force as pivot point is correct but the rest of the algebra you applied was overcomplicated. I just used T_f1 + T_f2 - T_w = 0 with (F * l for each torque) and solved for l in T_f2
That pdf is a fabulous read and I'll be poring over it when I get a chance. A cursory glance revealed nothing on the use of tensor notation, though. Am I not looking deeply enough?
I have a book that I've been reading off and on: https://www.amazon.com/dp/012200681X/?tag=pfamazon01-20
It's enjoyable but the only issue I'm having with it is the notation used, still. The book is definitely good at what it wants to achieve, which is a bridging text to the math for...