Definitions [6]
Define the frequency of simple harmonic motion.
The number of oscillations produced by the particle per second is called frequency. It is denoted by f. SI unit for frequency is s−1 or hertz (Hz).
Mathematically, frequency is related to the time period by f = `1/"T"`
Define the time period of simple harmonic motion.
Time period: The time period is defined as the time taken by a particle to complete one oscillation. It is usually denoted by T. For one complete revolution, the time taken is t = T, therefore,
`ω"T"` = 2π ⇒ T = `(2π)/ω`
Define second’s pendulum.
A simple pendulum whose period of oscillation is exactly two seconds is called a second’s pendulum.
Define an ideal simple pendulum.
An ideal simple pendulum consists a point mass suspended from a perfectly rigid support by weightless, inextensible and perfectly flexible fibre.
An ideal simple pendulum is a heavy particle suspended by a massless, inextensible, flexible string from a rigid support.
A heavy but small sized metallic bob suspended by a light, inextensible and flexible string, which performs oscillatory motion, is called a simple pendulum.
A simple pendulum whose period is two seconds is called a second's pendulum.
Formulae [3]
T = 2π\[\sqrt {\frac {l}{g}}\]
n = \[\frac {1}{2π}\]\[\sqrt {\frac {g}{l}}\]
T = 2π\[\sqrt {\frac {L_s}{g}\] = 2 seconds
Concepts [13]
- Periodic and Oscillatory Motion
- Simple Harmonic Motion (S.H.M.)
- Simple Harmonic Motion and Uniform Circular Motion
- Velocity and Acceleration in Simple Harmonic Motion
- Force Law for Simple Harmonic Motion
- Energy in Simple Harmonic Motion
- Some Systems Executing Simple Harmonic Motion
- Damped Simple Harmonic Motion
- Forced Oscillations and Resonance
- Displacement as a Function of Time
- Periodic Functions
- Oscillations - Frequency
- Simple Pendulum
