Periodic and oscillatory motion
Simple harmonic motion · Physics
Simple pendulum
Interactive 3DRelease the bob and watch true small-angle SHM. The period depends only on the string length.
Controls
Drag the sliders or type a value — the simulation updates live.
Study notes
Example: A 0.5‑kg mass is attached to a spring with a spring constant k = 20 N/m. The mass is pulled down 0.1 m from its equilibrium position and released from rest. Find the period, frequency, and maximum speed of the mass. Step 1: Find angular frequency ω using ω = √(k/m). ω = √(20/0.5) = √40 ≈ 6.32 rad/s. Step 2: Find period T = 2π/ω. T = 2π/6.32 ≈ 0.995 s. Step 3: Find frequency f = 1/T. f ≈ 1.005 Hz. Step 4: Find maximum speed v_max = Aω. A = 0.1 m, so v_max = 0.1 × 6.32 ≈ 0.632 m/s. Answer: The mass oscillates with a period of about 1.0 s, a frequency of about 1.0 Hz, and its maximum speed is about 0.63 m/s.