Making Equation Dumps Easier
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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