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Making Equation Dumps Easier


DavidStack

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I have always failed at writing down 50 equations in 4 minutes, both last year and this year, and I was never really sure why because I do know a good deal of equations. But as I think about it, I usually try to think of every little equation - getting me flustered and slowing me down - instead of focusing on the general equations that can help me figure out other equations. So, here's a simplified equation dump of equations that can lead you to most any equation we've learned in mechanics.

F = ma

K = .5mv^2

U = mgh

p = mv

J = F(delta)t = (delta)p

W = Fx = (delta)K

P = W/t

U(s) = .5kx^2

F = -kx

F(g) = (GMm)/r^2

F(f) = (mew)F(n)

T = 2(pi)(m/k)^(1/2) -> for springs

T = 2(pi)(l/g)^(1/2) -> for pendulum

T = 1/f

F© = (mv^2)/r

I = mr^2

I = I(cm) + Mx^2

v = v(0) + at

x = x(0) + v(0)t + .5at^2

v^2 = v(0)^2 + 2a(x-x(0))

And for rotational mechanics, the analogs are:

torque = F

theta = x

omega = v

alpha = a

L = p

I = m

This does not cover every single equation, but it hits the most important ones and can centralize your equation focus while preparing for the midterm.

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