Home
Class 11
PHYSICS
two partical excuting SHM with same fre...

two partical excuting SHM with same frequency and amplitudes `A and 2A` on same straight line with same mean position cross each other in opposite direction at a distance `A//3` from mean possion. Find the phase difference in the two SHM s.

Text Solution

AI Generated Solution

To solve the problem of finding the phase difference between two particles executing Simple Harmonic Motion (SHM), we will follow these steps: ### Step 1: Define the equations of motion for both particles Let the first particle have an amplitude \( A \) and the second particle have an amplitude \( 2A \). The equations of motion can be written as: - For particle 1: \[ x_1 = A \sin(\omega t + \theta_1) \] ...
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

A partical excutes SHM with same frequency and amplitude along the same straight line. They cross each other , at a point midway between the mean and the exterme position. Find the Phase difference between them.

Two particles execute SHM of same amplitude and frequency on parallel lines. They pass one another when moving in opposite directions each time their displacement is half of their amplitude. What is the phase difference between them?

Two particles execute SHM of same amplitude and same time period, about same mean position but with a phase difference between them. At an instant they are found to cross each other at x=+(A)/(3) . The phase difference between them is

Two particles execute SHMs of the same amplitude and frequency along the same straight line. They cross one another when going in opposite direction. What is the phase difference between them when their displacements are half of their amplitudes ?

Two particles execute SHM of same amplitude and frequency on parallel lines. They pass one another when moving in opposite directions each time their displacement is one third their amplitude. What is the phase difference between them?

Two particles execute simple harmonic motion of the same amplitude and frequency along close parallel lines. They pass each other moving in opposite directions each time their displacement is half their amplitude. Their phase difference is

The speed of a particle executing SHM with amplitude of displacement 5 cm is 3 cm //s at a distance 2.5 cm from mean position. What will be its speed at a distance 2.5 sqrt(3) from mean position?

Two particles of equal mass are moving along the same straight line with the same speed in opposite direction. What is the speed of the centre of mass of the system ?

Two particles of equal mass are moving along the same straight line with the same speed in opposite direction. What is the speed of the centre of mass of the system ?

Two particles are performing SHM in same phase. It means that