CLS-00 · laboratory
Newton, energy, momentum, rotation, oscillations, Kepler and the ballistic trajectory.
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27 governing sheets
F = m a for a particle of constant mass.
Laws of motionK = ½ m v².
Energyp = m v, and F = dp/dt.
MomentumK = ½ I ω² for a rigid body about a fixed axis.
RotationT = 2π √(m/k) for undamped SHM.
OscillationsT² = 4π² a³ /(G M) for a circular (or Keplerian) orbit.
GravityR = v² sin(2θ) / g on level ground.
Projectilesa = v² / r = ω² r toward the centre.
Circular motionW = ΔK = ½ m (v² − v0²).
EnergyL = I ω, and τ = dL/dt.
RotationT = 2π √(ℓ/g) for small angles.
Oscillationsv_esc = √(2 G M / R) from a spherical mass.
GravityUniform circular kinematics.
GoverningInverse-square point masses.
GoverningChange of momentum.
GoverningConstant-force work.
GoverningInstantaneous mechanical power.
GoverningFrom a spherical mass.
GoverningKepler circular orbit.
GoverningTwo-body reduction.
GoverningOrder of the Coriolis acceleration.
GoverningAmplitude energy of a spring.
GoverningCompound pendulum period.
GoverningFlat-earth vacuum range.
GoverningF = m a. The net force sets the acceleration of a point mass.
NewtonianE = ½ m v² + m g h. Conserved when only gravity does work.
NewtonianT = 2π √(m/k) for a mass on a Hookean spring.
Newtonian