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urp:physrot [2021-11-05] nerf_herder |
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- | ====Rotation and Oscillation==== | + | =====Rotation===== |
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- | ====Spring and Lever==== | + | |
- | **Hooke's law** for springs: F=-kx, k=spring constant, x = displacement | + | |
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- | **Fulcrum**: t = r * f (torque = radius * force) | + | |
- | just add the torques for multiple objects on one side of a fulcrum | + | |
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- | ====SHM - Simple Harmonic Motion==== | + | |
- | ma = -kx | + | |
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- | angular frequency ω = √(k/m) | + | |
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- | period of oscillation T = 2π √(m/k) (horizontal or vertical springs) | + | |
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- | In a vertical spring, the weight Mg of the body produces an initial elongation to equilibrium, such that Mg − kyₒ = 0. | + | |
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- | If y is the displacement from this equilibrium position the total restoring force will be Mg − k(yₒ + y) = −ky | + | |
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