Physics Quiz: Part 4

An interactive quiz on Simple Harmonic Motion (SHM).

Fundamental Concepts Review

Simple Harmonic Motion (SHM): Occurs when a restoring force is proportional to displacement, described by Hooke's Law: $F_{restore} = -kx$. The force always points toward equilibrium.

  • Amplitude (A): Maximum displacement from equilibrium.
  • Period (T): Time for one full cycle. Related to frequency by $f = 1/T$.
  • Angular Frequency ($\omega$): Relates to period by $\omega = 2\pi / T$.

Key Period Formulas:

  • Mass-Spring System: $T = 2\pi\sqrt{m/k}$
  • Simple Pendulum: $T = 2\pi\sqrt{L/g}$ (for small angles)

Problem 1: Period and Frequency

Easy
SHMPeriodFrequencyOscillations

A pendulum completes 10 full swings in 25 seconds. What are its period (T) and frequency (f)?

A

T = 250 s, f = 0.004 Hz

B

T = 0.4 s, f = 2.5 Hz

C

T = 2.5 s, f = 0.4 Hz

D

T = 10 s, f = 0.1 Hz