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mechanics

Impulse-Momentum Theorem

$$J = \Delta p = F \Delta t$$

Pendulum Period/Frequency

$$T_p = 2 \pi \sqrt{\frac{\ell}{g}}$$

Spring Period/Frequency

$$T_s = 2 \pi \sqrt{\frac{m}{k}}$$

Hooke's Law (Spring Constant)

$$F = -kx$$

Newton's 2nd Law

$$F = ma$$