Home
Class 11
PHYSICS
Find the amplitude and initial phase of ...

Find the amplitude and initial phase of a partical in SHM, whose motion equation is given as
`y = A sin omega t + B cos omega t`

Text Solution

AI Generated Solution

To find the amplitude and initial phase of a particle in Simple Harmonic Motion (SHM) given the equation \( y = A \sin(\omega t) + B \cos(\omega t) \), we can follow these steps: ### Step 1: Rewrite the equation in a standard form The equation \( y = A \sin(\omega t) + B \cos(\omega t) \) can be rewritten in the form \( y = R \sin(\omega t + \phi) \), where \( R \) is the amplitude and \( \phi \) is the initial phase. ### Step 2: Find the amplitude \( R \) The amplitude \( R \) can be calculated using the formula: \[ ...
Promotional Banner

Topper's Solved these Questions

  • LINEAR AND ANGULAR SIMPLE HARMONIC MOTION

    CENGAGE PHYSICS ENGLISH|Exercise Solved Example|15 Videos
  • LINEAR AND ANGULAR SIMPLE HARMONIC MOTION

    CENGAGE PHYSICS ENGLISH|Exercise Exercise 4.1|23 Videos
  • KINETIC THEORY OF GASES AND FIRST LAW OF THERMODYNAMICS

    CENGAGE PHYSICS ENGLISH|Exercise Interger|11 Videos
  • MISCELLANEOUS KINEMATICS

    CENGAGE PHYSICS ENGLISH|Exercise Interger type|3 Videos

Similar Questions

Explore conceptually related problems

Current in an ac circuit is given by I= 3 sin omega t + 4 cos omega t, then

Whatis the displacement equation of S.H.M. with an amplitude 2m , if 120 oscillations are performed during one minute and initial phase is 60^(@) [ Consider displacement time equation of the form y = A sin( omega t + phi)] ?

Find time period of the function, y=sin omega t + sin 2omega t + sin 3omega t

Find the average speed of a particle whose velocity is given by V=V_(0) sin omega t t where T=2pi//omega is the time of complete cycle

The SHM of a particle is given by the equation x=2 sin omega t + 4 cos omega t . Its amplitude of oscillation is

The displacement of a particle performing simple harmonic motion is given by, x=8 "sin" "omega t + 6 cos omega t, where distance is in cm and time is in second. What is the amplitude of motion?

Two simple harmonic motion are represrnted by the following equation y_(1) = 40 sin omega t and y_(2) = 10 (sin omega t + c cos omega t) . If their displacement amplitudes are equal, then the value of c (in appropriate units) is

Two simple harmonic motion are represrnted by the following equation y_(1) = 40 sin omega t and y_(2) = 10 (sin omega t + c cos omega t) . If their displacement amplitudes are equal, then the value of c (in appropriate units) is

In the relation y = r sin ( omega t - kx) , the dimensions of omega//k are

The position of a particle in motion is given by y = B + Csinomegat + Dcosomegat w.r.t origin. Then motion of the particle is