Classical Mechanics — 7 Terms Defined

Parallel Axis Theorem Classical Mechanics kg·m² A theorem stating that the moment of inertia about any axis parallel to a centroidal axis equals the centroidal moment of inertia plus mass times squared offset distance. I = I_cm + M d²

Pascal's Principle Classical Mechanics Pa The principle stating that pressure applied to an enclosed fluid is transmitted undiminished to every portion of the fluid and container walls. ΔP = F1 / A1 = F2 / A2

Period Classical Mechanics s The time duration required to complete one full cycle of a recurring motion or oscillation. T = 1 / f = 2π / ω = 2π √(m/k)

Perpendicular Axis Theorem Classical Mechanics kg·m² A theorem stating that for a thin planar lamina, the moment of inertia about an axis perpendicular to the plane equals the sum of moments of inertia about two perpendicular axes in the plane. Iz = Ix + Iy

Potential Energy Classical Mechanics J The stored energy an object possesses due to its relative position in a conservative force field or its structural deformation. PE_grav = m g h, PE_elastic = ½ k x²

Power Classical Mechanics W (J/s) The rate at which work is performed or energy is transferred per unit time. P = dW/dt = F · v

Projectile Motion Classical Mechanics m, m/s The 2D motion of an object launched into a gravitational field under the sole influence of gravity (ignoring air resistance). x(t) = v0 cos θ t, y(t) = v0 sin θ t - ½ g t²