Home
Class 12
PHYSICS
Two particle A and B execute SHM along t...

Two particle `A` and `B` execute `SHM` along the same line with the same amplitude a, same frequency and same equlibrium position `O`. If the phase difference between them is `phi=2 sin^(-1)(0.9)` then find maxium distance between two.

Text Solution

Verified by Experts

The correct Answer is:
A
Maximum distance
`=2asin ((phi)/(2)) = (2a)(0.9) = 1.8a`
Promotional Banner

Topper's Solved these Questions

  • SIMPLE HARMONIC MOTION

    ALLEN |Exercise Exercise-04 [B]|104 Videos

  • SIMPLE HARMONIC MOTION

    ALLEN |Exercise Exercise-05 [A]|39 Videos

  • SIMPLE HARMONIC MOTION

    ALLEN |Exercise Comprehension Base Questions (5)|3 Videos

  • RACE

    ALLEN |Exercise Basic Maths (Wave Motion & Dopplers Effect) (Stationary waves & doppler effect, beats)|25 Videos

  • TEST PAPER

    ALLEN |Exercise PHYSICS|4 Videos

Similar Questions

Explore conceptually related problems

Two particles A to B perform SHM along the same stright line with the same amplitude 'a' same frequency 'f' and same equilbrium position 'O' . The greatest distance between them is found to be 3a//2 . At some instant of time they have the same displacement from mean position. what is the displacement?

Two particle P and Q describe S.H.M. of same amplitude a same frequency f along the same straight line .The maximum distance between the two particles is asqrt(2) The phase difference between the two particle is

Two bodies performing S.H.M. have same amplitude and frequency. Their phases at a certain instant are as shown in the figure. The phase difference between them is

Two particles A and B are performing SHM along x and y-axis respectively with equal amplitude and frequency of 2 cm and 1 Hz respectively. Equilibrium positions of the particles A and B are at the coordinates [3 cm, 0] and (0, 4 cm) respectively. At t = 0 ,B is at its equilibrium position and moving towards the origin, while A is nearest to the origin and moving away from the origin- Minimum and maximum distance between A and B during the motion is-

Two particles A and B are performing SHM along x and y-axis respectively with equal amplitude and frequency of 2 cm and 1 Hz respectively. Equilibrium positions of the particles A and B are at the coordinates [3 cm, 0] and (0, 4 cm) respectively. At t = 0 ,B is at its equilibrium position and moving towards the origin, while A is nearest to the origin and moving away from the origin- Equation of motion of particle A can be written as-

Two particles are executing simple harmonic of the same amplitude (A) and frequency omega along the x-axis . Their mean position is separated by distance X_(0)(X_(0)gtA). If the maximum separation between them is (X_(0)+A), the phase difference between their motion is:

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?

The angle between the lines ay^2-(1+lambda^2))xy-ax^2=0 is same as the angle between the line:

ALLEN -SIMPLE HARMONIC MOTION-Exercise-04 [A]
  1. A particle simple harmonic motion completes 1200 oscillations per minu...

    Text Solution

    |

  2. Find the resulting amplitude A' and the phase of the vibrations delta ...

    Text Solution

    |

  3. A particle is executing SHM given by x = A sin (pit + phi). The initia...

    Text Solution

    |

  4. The shortest distance travelled by a particle executing SHM from mean ...

    Text Solution

    |

  5. Two particle A and B execute SHM along the same line with the same amp...

    Text Solution

    |

  6. A body executing S.H.M. has its velocity 10cm//s and 7 cm//s when its ...

    Text Solution

    |

  7. A particle executing a linear SHM has velocities of 8 m/s, 7 m/s and 4...

    Text Solution

    |

  8. A particle is oscillating in a stright line about a centre of force O,...

    Text Solution

    |

  9. The displacement of a particle varies with time as x = 12 sin omega t ...

    Text Solution

    |

  10. A point particle if mass 0.1 kg is executing SHM of amplitude 0.1 m. W...

    Text Solution

    |

  11. A body of mass 1 kg suspended an ideal spring oscillates up and down. ...

    Text Solution

    |

  12. The potential energy (U) of a body of unit mass moving in a one-di...

    Text Solution

    |

  13. A body of mass 1.0 kg is suspended from a weightless spring having for...

    Text Solution

    |

  14. In the figure shown, the block A of mass m collides with the identical...

    Text Solution

    |

  15. A block of mass 1kg hangs without vibrations at the end of a spring wi...

    Text Solution

    |

  16. A small ring of mass m(1) is connected by a string of length l to a sm...

    Text Solution

    |

  17. Calculate the time period of a uniform square plate of side 'a' if it ...

    Text Solution

    |

  18. Two identical rods each of mass m and length L, are tigidly joined and...

    Text Solution

    |

  19. A half ring of mass m, radius R is hanged at its one end its one end i...

    Text Solution

    |

  20. The two torsion pendula differ only by the addition of cylindrical mas...

    Text Solution

    |