Advertisements
Advertisements
Question
What is an epoch?
Advertisements
Solution
The phase of a vibrating particle corresponding to time t = 0 is called the initial phase or epoch. At, t = φ, φ = φ0.
The constant φ0 is called the initial phase or epoch. It tells about the initial state of motion of the vibrating particle.
APPEARS IN
RELATED QUESTIONS
A particle executes simple harmonic motion. If you are told that its velocity at this instant is zero, can you say what is its displacement? If you are told that its velocity at this instant is maximum, can you say what is its displacement?
A block of known mass is suspended from a fixed support through a light spring. Can you find the time period of vertical oscillation only by measuring the extension of the spring when the block is in equilibrium?
The displacement of a particle in simple harmonic motion in one time period is
For a particle executing simple harmonic motion, the acceleration is proportional to
In a simple harmonic motion
(a) the maximum potential energy equals the maximum kinetic energy
(b) the minimum potential energy equals the minimum kinetic energy
(c) the minimum potential energy equals the maximum kinetic energy
(d) the maximum potential energy equals the minimum kinetic energy
A simple pendulum of length l is suspended through the ceiling of an elevator. Find the time period of small oscillations if the elevator (a) is going up with and acceleration a0(b) is going down with an acceleration a0 and (c) is moving with a uniform velocity.
Define the frequency of simple harmonic motion.
Consider the Earth as a homogeneous sphere of radius R and a straight hole is bored in it through its centre. Show that a particle dropped into the hole will execute a simple harmonic motion such that its time period is
T = `2π sqrt("R"/"g")`
The displacement of a particle varies with time according to the relation y = a sin ωt + b cos ωt.
Displacement vs. time curve for a particle executing S.H.M. is shown in figure. Choose the correct statements.

- Phase of the oscillator is same at t = 0 s and t = 2s.
- Phase of the oscillator is same at t = 2 s and t = 6s.
- Phase of the oscillator is same at t = 1 s and t = 7s.
- Phase of the oscillator is same at t = 1 s and t = 5s.
