The Ungerecht Family Tree

Hooke's law for springs: F=-kx, k=spring constant, x = displacement

Fulcrum: t = r * f (torque = radius * force) just add the torques for multiple objects on one side of a fulcrum

F = ma, ∴ ma = -kx

angular frequency ω = √(k/m)

period of oscillation T = 2π √(m/k) (horizontal or vertical springs)

In a vertical spring, the weight Mg of the body produces an initial elongation to equilibrium, such that Mg − kyₒ = 0.

If y is the displacement from this equilibrium position the total restoring force will be Mg − k(yₒ + y) = −ky

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