
Define Phase of S.H.M ?
Answer
498.9k+ views
4 likes
Hint:-Phase simply means an angular term which represents the state of a particle in SHM at a certain instant. We calculate the distance of the particle from the mean position during simple harmonic motion and convert it into the angular term that is known as the phase of S.H.M.
Step by step complete solution:-
Definition- The phase of Simple harmonic motion is defined as an angular term which represents the state of a particle from the mean position at a certain instant.
The linear displacement of particle from mean position in simple harmonic motion is represented by sine and cos functions that
Let the general equation of S.H.M. is given by-
Here, x = Displacement of particle from mean position at time ‘t’.
A= Amplitude of S.H.M (Maximum displacement of particle from mean position)
= Angular frequency ( Rate of change of phase angle per unit time)
t = time
θ = Initial phase at instant ‘t=0’
The quantity is known as phase at instant ‘t’.
Phase difference- If the phase angles of two particles executing S.H.M. are and then the phase difference between two particles is given by-
So with the help of this equation we can find the phase difference between two particles executing simple harmonic motion.
Note:-The motion of simple harmonic motion may be linear but the graph of motion is generated with help of phase that is an angular term. We can calculate this one with the help of given parameters and general equation of S.H.M.
Step by step complete solution:-
Definition- The phase of Simple harmonic motion is defined as an angular term which represents the state of a particle from the mean position at a certain instant.
The linear displacement of particle from mean position in simple harmonic motion is represented by sine and cos functions that
Let the general equation of S.H.M. is given by-
Here, x = Displacement of particle from mean position at time ‘t’.
A= Amplitude of S.H.M (Maximum displacement of particle from mean position)
t = time
θ = Initial phase at instant ‘t=0’
The quantity
Phase difference- If the phase angles of two particles executing S.H.M. are
So with the help of this equation we can find the phase difference between two particles executing simple harmonic motion.
Note:-The motion of simple harmonic motion may be linear but the graph of motion is generated with help of phase that is an angular term. We can calculate this one with the help of given parameters and general equation of S.H.M.
Latest Vedantu courses for you
Grade 10 | CBSE | SCHOOL | English
Vedantu 10 CBSE Pro Course - (2025-26)
School Full course for CBSE students
₹37,300 per year
Recently Updated Pages
Master Class 12 Business Studies: Engaging Questions & Answers for Success

Master Class 12 Economics: Engaging Questions & Answers for Success

Master Class 12 Maths: Engaging Questions & Answers for Success

Master Class 12 Biology: Engaging Questions & Answers for Success

Master Class 12 Physics: Engaging Questions & Answers for Success

Master Class 12 English: Engaging Questions & Answers for Success

Trending doubts
Why should a magnesium ribbon be cleaned before burning class 12 chemistry CBSE

A renewable exhaustible natural resources is A Coal class 12 biology CBSE

Megasporangium is equivalent to a Embryo sac b Fruit class 12 biology CBSE

What is Zeises salt and ferrocene Explain with str class 12 chemistry CBSE

How to calculate power in series and parallel circ class 12 physics CBSE

Anal style is present in A Male cockroach B Female class 12 biology CBSE
