Home
Class 12
PHYSICS
Two particles are in SHM in a straight l...

Two particles are in `SHM` in a straight line about same equilibrium position. Amplitude `A` and time period `T` of both the particles are equal. At time `t=0`, one particle is at displacement `y_(1)=+A` and the other at `y_(2)=-A//2`, and they are approaching towards each other. after what time they cross each other?

A

`(5T)/(6)`

B

`(T)/(3)`

C

`(T)/(4)`

D

`(T)/(6)`

Text Solution

Verified by Experts

The correct Answer is:
D


Angle covered to meet `theta=60^(@)=(pi)/(3)` rad.
If they cross each other at time t then
`t=(theta)/(2pi)=(pi)/(3xx2pi)T=(T)/(6)`
Promotional Banner

Topper's Solved these Questions

  • OSCILLATIONS

    DISHA PUBLICATION|Exercise Exercise-1 : Concept Builder (TOPIC 1: Displacement, Phase, Velocity, Acceleration and Energy in S.H.M.)|27 Videos
  • OSCILLATIONS

    DISHA PUBLICATION|Exercise Exercise-1 : Concept Builder (TOPIC 2: Time Period, Frequency, Simple Pendulum and Spring Pendulum)|31 Videos
  • NUCLEI

    DISHA PUBLICATION|Exercise EXERCISE - 2 (CONCEPT APPLICATOR)|30 Videos
  • PHYSICAL WORLD, UNITS AND MEASUREMENTS

    DISHA PUBLICATION|Exercise Exercise - 2 : Concept Applicator|30 Videos

Similar Questions

Explore conceptually related problems

Two particles are executing SHM in a straight line. Amplitude A and the time period T of both the particles are equal. At time t=0, one particle is at displacement x_(1)=+A and the other x_(2)=(-A/2) and they are approaching towards each other. After what time they across each other? T/4

A particle starts SHM from the mean position. Its amplitude is A and time period is T. At the time when its speed is half of the maximum speed, its displacement y is

Time period (T) and amplitude (A) are same for two particle which undergoes SHM along the same line. At one particular instant one particle is at phase (3pi)/(2) and the other is at zero,while moving in the same direction. Find the time at which they will cross each other

Two particles are in SHM along same line with same amplitude A and same time period T. At time t=0, particle 1 is at + A/2 and moving towards positive x-axis. At the same time particle 2 is at -A/2 and moving towards negative x-axis. Find the timewhen they will collide.

A particle is executing simple harmonic motion with an amplitude A and time period T. The displacement of the particles after 2T period from its initial position is

Two particles are in SHM with same amplitude A and same regualr frequency omega . At time t=0, one is at x = +A/2 and the other is at x=-A/2 . Both are moving in the same direction.

A particle starts its SHM from mean position at t = 0 . If its time period is T and amplitude A then the distance travelled by the particle in the time from t = 0 to t = (5T)/(A) is

A particle moves in a straight line and its position x and time t are related as follows: x=(2+t)^(1//2) Acceleration of the particle is given by

Two particle undergoes SHM along parallel line with the same time period (T) and equal amplitude At a particular instant , one particle is at its extereme position while the other is at its mean position .They move in the same direction .They will cross each other after a further time

DISHA PUBLICATION-OSCILLATIONS -Exercise-2 : Concept Applicator
  1. Two particles are in SHM in a straight line about same equilibrium pos...

    Text Solution

    |

  2. A point particle of mass 0.1 kg is executing SHM of amplitude 0.1m. Wh...

    Text Solution

    |

  3. A particle performs SHM on x- axis with amplitude A and time period ...

    Text Solution

    |

  4. A mass is suspended separately by two different springs in successive ...

    Text Solution

    |

  5. Two particles execute SHM of same amplitude and frequency on parallel ...

    Text Solution

    |

  6. If a simple pendulum has significant amplitude (up to a factor of1//e ...

    Text Solution

    |

  7. A mass (M) is suspended from a spring of negligible mass. The spring i...

    Text Solution

    |

  8. A bent tube of uniform cross-section area A has a non-viscous liquid o...

    Text Solution

    |

  9. A particle performs SHM about x=0 such that at t=0 it is at x=0 and mo...

    Text Solution

    |

  10. A particle of mass m = 2 kg executes SHM in xy plane between points A ...

    Text Solution

    |

  11. A simple harmonic motion along the x-axis has the following properties...

    Text Solution

    |

  12. Two simple harmonic are represented by the equation y(1)=0.1 sin (100p...

    Text Solution

    |

  13. A uniform cylinder of length L and mass M having cross-sectional area ...

    Text Solution

    |

  14. A uniform cylinder of length L and mass M having cross-sectional area ...

    Text Solution

    |

  15. A body executes simple harmonic motion under the action of a force F1 ...

    Text Solution

    |

  16. A simple pendulum attached to the ceiling of a stationary lift has a t...

    Text Solution

    |

  17. Two bodies of masses 1 kg and 4 kg are connected to a vertical spring,...

    Text Solution

    |

  18. A particle of mass m oscillates with a potential energy U=U(0)+alpha x...

    Text Solution

    |

  19. Two simple pendulums of length 0.5 m and 20 m respectively are given s...

    Text Solution

    |

  20. A uniform pole of length l = 2 L is laid on smooth horizontal table as...

    Text Solution

    |

  21. A particle of mass m executes simple harmonic motion with amplitude a ...

    Text Solution

    |